Details

analyze421.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1534×	`div-sub_binary64_18838`
888×	`distribute-rgt-in_binary64_18783`
690×	`times-frac_binary64_18839`
535×	`sub-neg_binary64_18826`
432×	`distribute-rgt-neg-in_binary64_18791`
383×	`associate-/r*_binary64_18777`
382×	`associate-/l*_binary64_18778`
319×	`distribute-lft-neg-in_binary64_18790`
304×	`*-commutative_binary64_18764`
275×	`distribute-neg-frac_binary64_18797`
270×	`neg-mul-1_binary64_18829`
260×	`neg-sub0_binary64_18828`
184×	`associate--r+_binary64_18769`
182×	`unsub-neg_binary64_18827`
164×	`associate-/r/_binary64_18779`
158×	`cancel-sign-sub-inv_binary64_18799`
137×	`associate--r-_binary64_18772`
131×	`+-commutative_binary64_18763`
124×	`distribute-frac-neg_binary64_18796` `associate-/l/_binary64_18780`
118×	`distribute-rgt-neg-out_binary64_18793`
111×	`remove-double-neg_binary64_18821`
95×	`distribute-lft-neg-out_binary64_18792`
93×	`distribute-neg-in_binary64_18794`
88×	`associate-l_binary64_18774`
87×	`associate-+l-_binary64_18768`
80×	`distribute-lft-in_binary64_18782` `associate-*l/_binary64_18776`
75×	`associate-r_binary64_18773`
73×	`associate--l+_binary64_18770`
67×	`associate-+l+_binary64_18766`
66×	`associate--l-_binary64_18771` `associate-+r-_binary64_18767`
49×	`associate-+r+_binary64_18765`
39×	`sub0-neg_binary64_18820` `+-rgt-identity_binary64_18818`
38×	`+-lft-identity_binary64_18817`
37×	`*-lft-identity_binary64_18822`
36×	`associate-*r/_binary64_18775`
34×	`cancel-sign-sub_binary64_18798`
30×	`*-rgt-identity_binary64_18823`
26×	`/-rgt-identity_binary64_18824`
24×	`--rgt-identity_binary64_18819`
22×	`distribute-neg-out_binary64_18795`
20×	`distribute-lft-out_binary64_18784`
16×	`mul0-rgt_binary64_18816` `mul0-lft_binary64_18815`
15×	`distribute-lft-out--_binary64_18785`
12×	`div0_binary64_18814`
11×	`distribute-rgt-out--_binary64_18787`
9×	`remove-double-div_binary64_18809`
5×	`distribute-rgt-out_binary64_18786`
4×	`distribute-rgt1-in_binary64_18789`
3×	`mul-1-neg_binary64_18825`
2×	`distribute-lft1-in_binary64_18788`
1×	`1-exp_binary64_18877` `*-inverses_binary64_18813`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_19096` `erf-erfc_binary64_19095` `erf-odd_binary64_19094` `if-if-and-not_binary64_19093` `if-if-and_binary64_19092` `if-if-or-not_binary64_19091` `if-if-or_binary64_19090` `if-not_binary64_19089` `if-same_binary64_19088` `if-false_binary64_19087` `if-true_binary64_19086` `not-gte_binary64_19085` `not-lte_binary64_19084` `not-gt_binary64_19083` `not-lt_binary64_19082` `gte-same_binary64_19081` `lte-same_binary64_19080` `gt-same_binary64_19079` `lt-same_binary64_19078` `sinh---cosh_binary64_19025` `sinh-+-cosh_binary64_19024` `sinh-cosh_binary64_19023` `tanh-def-c_binary64_19022` `tanh-def-b_binary64_19021` `tanh-def-a_binary64_19020` `cosh-def_binary64_19019` `sinh-def_binary64_19018` `tan-neg_binary64_18965` `cos-neg_binary64_18964` `sin-neg_binary64_18963` `tan-0_binary64_18962` `cos-0_binary64_18961` `sin-0_binary64_18960` `hang-m-tan_binary64_18959` `hang-p-tan_binary64_18958` `hang-m0-tan_binary64_18957` `hang-p0-tan_binary64_18956` `hang-0m-tan_binary64_18955` `hang-0p-tan_binary64_18954` `tan-+PI/2_binary64_18953` `tan-+PI_binary64_18952` `tan-PI_binary64_18951` `tan-PI/3_binary64_18950` `tan-PI/4_binary64_18949` `tan-PI/6_binary64_18948` `cos-+PI/2_binary64_18947` `cos-+PI_binary64_18946` `cos-PI_binary64_18945` `cos-PI/2_binary64_18944` `cos-PI/3_binary64_18943` `cos-PI/4_binary64_18942` `cos-PI/6_binary64_18941` `sin-+PI/2_binary64_18940` `sin-+PI_binary64_18939` `sin-PI_binary64_18938` `sin-PI/2_binary64_18937` `sin-PI/3_binary64_18936` `sin-PI/4_binary64_18935` `sin-PI/6_binary64_18934` `sub-1-sin_binary64_18933` `sub-1-cos_binary64_18932` `-1-add-sin_binary64_18931` `-1-add-cos_binary64_18930` `1-sub-sin_binary64_18929` `1-sub-cos_binary64_18928` `cos-sin-sum_binary64_18927` `log-E_binary64_18923` `log-pow_binary64_18922` `log-rec_binary64_18921` `log-div_binary64_18920` `log-prod_binary64_18919` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `unpow3_binary64_18899` `unpow2_binary64_18898` `unpow1/2_binary64_18897` `pow-plus_binary64_18896` `exp-to-pow_binary64_18895` `pow-base-1_binary64_18893` `unpow0_binary64_18892` `unpow1_binary64_18891` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-lft-sqr_binary64_18888` `exp-cbrt_binary64_18887` `exp-sqrt_binary64_18886` `exp-prod_binary64_18885` `div-exp_binary64_18884` `rec-exp_binary64_18883` `prod-exp_binary64_18882` `exp-diff_binary64_18881` `exp-neg_binary64_18880` `exp-sum_binary64_18879` `e-exp-1_binary64_18878` `exp-1-e_binary64_18876` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-unmult_binary64_18870` `cube-mult_binary64_18863` `cube-div_binary64_18862` `cube-prod_binary64_18861` `cube-neg_binary64_18860` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `pow-sqr_binary64_18806` `sqr-pow_binary64_18805` `difference-of-sqr--1_binary64_18804` `difference-of-sqr-1_binary64_18803` `difference-of-squares_binary64_18802` `unswap-sqr_binary64_18801` `swap-sqr_binary64_18800` `count-2_binary64_18781`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	25	21
2	43	21
3	57	21
4	66	21
5	76	21
6	113	21
7	151	21
8	240	21
9	385	21
10	484	21
11	552	21
12	650	21
13	1275	21
14	2898	21
15	3244	21
16	3247	21
17	3326	21
18	3358	21
19	3426	21
20	3437	21
21	3725	21
22	3759	21
23	3775	21
24	3775	21
25	3775	21
26	4954	21
27	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify292.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1534×	`div-sub_binary64_18838`
888×	`distribute-rgt-in_binary64_18783`
690×	`times-frac_binary64_18839`
535×	`sub-neg_binary64_18826`
432×	`distribute-rgt-neg-in_binary64_18791`
383×	`associate-/r*_binary64_18777`
382×	`associate-/l*_binary64_18778`
319×	`distribute-lft-neg-in_binary64_18790`
304×	`*-commutative_binary64_18764`
275×	`distribute-neg-frac_binary64_18797`
270×	`neg-mul-1_binary64_18829`
260×	`neg-sub0_binary64_18828`
184×	`associate--r+_binary64_18769`
182×	`unsub-neg_binary64_18827`
164×	`associate-/r/_binary64_18779`
158×	`cancel-sign-sub-inv_binary64_18799`
137×	`associate--r-_binary64_18772`
131×	`+-commutative_binary64_18763`
124×	`distribute-frac-neg_binary64_18796` `associate-/l/_binary64_18780`
118×	`distribute-rgt-neg-out_binary64_18793`
111×	`remove-double-neg_binary64_18821`
95×	`distribute-lft-neg-out_binary64_18792`
93×	`distribute-neg-in_binary64_18794`
88×	`associate-l_binary64_18774`
87×	`associate-+l-_binary64_18768`
80×	`distribute-lft-in_binary64_18782` `associate-*l/_binary64_18776`
75×	`associate-r_binary64_18773`
73×	`associate--l+_binary64_18770`
67×	`associate-+l+_binary64_18766`
66×	`associate--l-_binary64_18771` `associate-+r-_binary64_18767`
49×	`associate-+r+_binary64_18765`
39×	`sub0-neg_binary64_18820` `+-rgt-identity_binary64_18818`
38×	`+-lft-identity_binary64_18817`
37×	`*-lft-identity_binary64_18822`
36×	`associate-*r/_binary64_18775`
34×	`cancel-sign-sub_binary64_18798`
30×	`*-rgt-identity_binary64_18823`
26×	`/-rgt-identity_binary64_18824`
24×	`--rgt-identity_binary64_18819`
22×	`distribute-neg-out_binary64_18795`
20×	`distribute-lft-out_binary64_18784`
16×	`mul0-rgt_binary64_18816` `mul0-lft_binary64_18815`
15×	`distribute-lft-out--_binary64_18785`
12×	`div0_binary64_18814`
11×	`distribute-rgt-out--_binary64_18787`
9×	`remove-double-div_binary64_18809`
5×	`distribute-rgt-out_binary64_18786`
4×	`distribute-rgt1-in_binary64_18789`
3×	`mul-1-neg_binary64_18825`
2×	`distribute-lft1-in_binary64_18788`
1×	`1-exp_binary64_18877` `*-inverses_binary64_18813`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_19096` `erf-erfc_binary64_19095` `erf-odd_binary64_19094` `if-if-and-not_binary64_19093` `if-if-and_binary64_19092` `if-if-or-not_binary64_19091` `if-if-or_binary64_19090` `if-not_binary64_19089` `if-same_binary64_19088` `if-false_binary64_19087` `if-true_binary64_19086` `not-gte_binary64_19085` `not-lte_binary64_19084` `not-gt_binary64_19083` `not-lt_binary64_19082` `gte-same_binary64_19081` `lte-same_binary64_19080` `gt-same_binary64_19079` `lt-same_binary64_19078` `sinh---cosh_binary64_19025` `sinh-+-cosh_binary64_19024` `sinh-cosh_binary64_19023` `tanh-def-c_binary64_19022` `tanh-def-b_binary64_19021` `tanh-def-a_binary64_19020` `cosh-def_binary64_19019` `sinh-def_binary64_19018` `tan-neg_binary64_18965` `cos-neg_binary64_18964` `sin-neg_binary64_18963` `tan-0_binary64_18962` `cos-0_binary64_18961` `sin-0_binary64_18960` `hang-m-tan_binary64_18959` `hang-p-tan_binary64_18958` `hang-m0-tan_binary64_18957` `hang-p0-tan_binary64_18956` `hang-0m-tan_binary64_18955` `hang-0p-tan_binary64_18954` `tan-+PI/2_binary64_18953` `tan-+PI_binary64_18952` `tan-PI_binary64_18951` `tan-PI/3_binary64_18950` `tan-PI/4_binary64_18949` `tan-PI/6_binary64_18948` `cos-+PI/2_binary64_18947` `cos-+PI_binary64_18946` `cos-PI_binary64_18945` `cos-PI/2_binary64_18944` `cos-PI/3_binary64_18943` `cos-PI/4_binary64_18942` `cos-PI/6_binary64_18941` `sin-+PI/2_binary64_18940` `sin-+PI_binary64_18939` `sin-PI_binary64_18938` `sin-PI/2_binary64_18937` `sin-PI/3_binary64_18936` `sin-PI/4_binary64_18935` `sin-PI/6_binary64_18934` `sub-1-sin_binary64_18933` `sub-1-cos_binary64_18932` `-1-add-sin_binary64_18931` `-1-add-cos_binary64_18930` `1-sub-sin_binary64_18929` `1-sub-cos_binary64_18928` `cos-sin-sum_binary64_18927` `log-E_binary64_18923` `log-pow_binary64_18922` `log-rec_binary64_18921` `log-div_binary64_18920` `log-prod_binary64_18919` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `unpow3_binary64_18899` `unpow2_binary64_18898` `unpow1/2_binary64_18897` `pow-plus_binary64_18896` `exp-to-pow_binary64_18895` `pow-base-1_binary64_18893` `unpow0_binary64_18892` `unpow1_binary64_18891` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-lft-sqr_binary64_18888` `exp-cbrt_binary64_18887` `exp-sqrt_binary64_18886` `exp-prod_binary64_18885` `div-exp_binary64_18884` `rec-exp_binary64_18883` `prod-exp_binary64_18882` `exp-diff_binary64_18881` `exp-neg_binary64_18880` `exp-sum_binary64_18879` `e-exp-1_binary64_18878` `exp-1-e_binary64_18876` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-unmult_binary64_18870` `cube-mult_binary64_18863` `cube-div_binary64_18862` `cube-prod_binary64_18861` `cube-neg_binary64_18860` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `pow-sqr_binary64_18806` `sqr-pow_binary64_18805` `difference-of-sqr--1_binary64_18804` `difference-of-sqr-1_binary64_18803` `difference-of-squares_binary64_18802` `unswap-sqr_binary64_18801` `swap-sqr_binary64_18800` `count-2_binary64_18781`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	25	21
2	43	21
3	57	21
4	66	21
5	76	21
6	113	21
7	151	21
8	240	21
9	385	21
10	484	21
11	552	21
12	650	21
13	1275	21
14	2898	21
15	3244	21
16	3247	21
17	3326	21
18	3358	21
19	3426	21
20	3437	21
21	3725	21
22	3759	21
23	3775	21
24	3775	21
25	3775	21
26	4954	21
27	5830	21

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.1b

Counts

1 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite86.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-exp-log_binary64_18871` `add-log-exp_binary64_18872` `add-cbrt-cube_binary64_18869`
4×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
3×	`times-frac_binary64_18839` `associate-/r*_binary64_18777` `sum-log_binary64_18924`
2×	`pow1_binary64_18894` `div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `associate-*r/_binary64_18775` `associate-/l/_binary64_18780` `flip3-+_binary64_18836` `associate-/r/_binary64_18779` `flip-+_binary64_18807`
1×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830` `flip3--_binary64_18837` `flip--_binary64_18808` `associate-/l*_binary64_18778` `associate-+l+_binary64_18766` `+-commutative_binary64_18763`

Counts

2 → 38

Calls

2 calls:

13.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 952 to 697 computations (26.8% saved)

series43.0ms (0.9%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

22.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
17.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

409×	`distribute-rgt-in_binary64_18783`
372×	`times-frac_binary64_18839`
368×	`distribute-lft-in_binary64_18782`
308×	`associate-/l*_binary64_18778`
305×	`associate-l_binary64_18774`
228×	`associate-r_binary64_18773`
205×	`div-sub_binary64_18838`
146×	`cancel-sign-sub-inv_binary64_18799`
139×	`associate-+l+_binary64_18766`
129×	`neg-sub0_binary64_18828`
125×	`unsub-neg_binary64_18827`
119×	`sub-neg_binary64_18826`
116×	`neg-mul-1_binary64_18829`
115×	`associate-+r+_binary64_18765`
111×	`associate-/r_binary64_18777` `-commutative_binary64_18764`
108×	`associate-/l/_binary64_18780`
101×	`associate-*l/_binary64_18776`
71×	`associate-/r/_binary64_18779`
70×	`associate-*r/_binary64_18775`
65×	`distribute-neg-in_binary64_18794` `distribute-rgt-neg-in_binary64_18791`
49×	`distribute-rgt-out--_binary64_18787`
48×	`distribute-lft-neg-in_binary64_18790`
42×	`+-commutative_binary64_18763`
41×	`sqr-pow_binary64_18805`
34×	`exp-prod_binary64_18885` `exp-sum_binary64_18879` `unswap-sqr_binary64_18801`
30×	`*-rgt-identity_binary64_18823`
29×	`cube-prod_binary64_18861`
28×	`distribute-lft-neg-out_binary64_18792`
27×	`log-div_binary64_18920` `associate--r+_binary64_18769`
24×	`cube-div_binary64_18862` `swap-sqr_binary64_18800` `distribute-neg-frac_binary64_18797` `distribute-rgt-out_binary64_18786`
20×	`*-lft-identity_binary64_18822` `distribute-rgt-neg-out_binary64_18793`
19×	`log-prod_binary64_18919` `distribute-rgt1-in_binary64_18789` `associate--l+_binary64_18770`
18×	`mul-1-neg_binary64_18825`
17×	`associate-+r-_binary64_18767`
14×	`unpow3_binary64_18899` `/-rgt-identity_binary64_18824`
13×	`associate-+l-_binary64_18768`
12×	`+-rgt-identity_binary64_18818`
11×	`cube-mult_binary64_18863`
9×	`cube-unmult_binary64_18870` `distribute-lft1-in_binary64_18788`
8×	`exp-diff_binary64_18881`
6×	`log-rec_binary64_18921` `prod-exp_binary64_18882` `rem-sqrt-square_binary64_18846` `sub0-neg_binary64_18820`
4×	`pow-plus_binary64_18896` `pow-sqr_binary64_18806`
3×	`unpow1/2_binary64_18897` `difference-of-squares_binary64_18802` `associate--l-_binary64_18771`
2×	`remove-double-div_binary64_18809` `distribute-neg-out_binary64_18795` `distribute-lft-out_binary64_18784`
1×	`unpow2_binary64_18898` `unpow1_binary64_18891` `exp-neg_binary64_18880` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `rem-square-sqrt_binary64_18845` `remove-double-neg_binary64_18821` `+-lft-identity_binary64_18817` `difference-of-sqr--1_binary64_18804` `distribute-lft-out--_binary64_18785`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_19096` `erf-erfc_binary64_19095` `erf-odd_binary64_19094` `if-if-and-not_binary64_19093` `if-if-and_binary64_19092` `if-if-or-not_binary64_19091` `if-if-or_binary64_19090` `if-not_binary64_19089` `if-same_binary64_19088` `if-false_binary64_19087` `if-true_binary64_19086` `not-gte_binary64_19085` `not-lte_binary64_19084` `not-gt_binary64_19083` `not-lt_binary64_19082` `gte-same_binary64_19081` `lte-same_binary64_19080` `gt-same_binary64_19079` `lt-same_binary64_19078` `sinh---cosh_binary64_19025` `sinh-+-cosh_binary64_19024` `sinh-cosh_binary64_19023` `tanh-def-c_binary64_19022` `tanh-def-b_binary64_19021` `tanh-def-a_binary64_19020` `cosh-def_binary64_19019` `sinh-def_binary64_19018` `tan-neg_binary64_18965` `cos-neg_binary64_18964` `sin-neg_binary64_18963` `tan-0_binary64_18962` `cos-0_binary64_18961` `sin-0_binary64_18960` `hang-m-tan_binary64_18959` `hang-p-tan_binary64_18958` `hang-m0-tan_binary64_18957` `hang-p0-tan_binary64_18956` `hang-0m-tan_binary64_18955` `hang-0p-tan_binary64_18954` `tan-+PI/2_binary64_18953` `tan-+PI_binary64_18952` `tan-PI_binary64_18951` `tan-PI/3_binary64_18950` `tan-PI/4_binary64_18949` `tan-PI/6_binary64_18948` `cos-+PI/2_binary64_18947` `cos-+PI_binary64_18946` `cos-PI_binary64_18945` `cos-PI/2_binary64_18944` `cos-PI/3_binary64_18943` `cos-PI/4_binary64_18942` `cos-PI/6_binary64_18941` `sin-+PI/2_binary64_18940` `sin-+PI_binary64_18939` `sin-PI_binary64_18938` `sin-PI/2_binary64_18937` `sin-PI/3_binary64_18936` `sin-PI/4_binary64_18935` `sin-PI/6_binary64_18934` `sub-1-sin_binary64_18933` `sub-1-cos_binary64_18932` `-1-add-sin_binary64_18931` `-1-add-cos_binary64_18930` `1-sub-sin_binary64_18929` `1-sub-cos_binary64_18928` `cos-sin-sum_binary64_18927` `log-E_binary64_18923` `log-pow_binary64_18922` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `exp-to-pow_binary64_18895` `pow-base-1_binary64_18893` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-lft-sqr_binary64_18888` `exp-cbrt_binary64_18887` `exp-sqrt_binary64_18886` `div-exp_binary64_18884` `rec-exp_binary64_18883` `e-exp-1_binary64_18878` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-neg_binary64_18860` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `--rgt-identity_binary64_18819` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `div0_binary64_18814` `*-inverses_binary64_18813` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-frac-neg_binary64_18796` `count-2_binary64_18781` `associate--r-_binary64_18772`

Counts

44 → 32

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1032
1	256	860
2	909	854
3	3742	854
4	4673	854
5	4905	854

prune55.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 787 to 584 computations (25.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

rewrite217.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64_18855`
48×	`*-un-lft-identity_binary64_18833`
43×	`times-frac_binary64_18839`
27×	`add-cube-cbrt_binary64_18868` `associate-r_binary64_18773`
14×	`difference-of-squares_binary64_18802`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
8×	`add-log-exp_binary64_18872`
7×	`difference-of-sqr-1_binary64_18803` `distribute-lft-out--_binary64_18785` `associate-/l*_binary64_18778`
5×	`pow1_binary64_18894`
4×	`associate-/r/_binary64_18779`
3×	`flip3-+_binary64_18836` `flip-+_binary64_18807` `associate-/r_binary64_18777` `associate-l*_binary64_18774` `sum-log_binary64_18924`
2×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `div-inv_binary64_18830` `associate-/l/_binary64_18780` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801`
1×	`frac-2neg_binary64_18844` `div-sub_binary64_18838` `clear-num_binary64_18832` `flip3--_binary64_18837` `flip--_binary64_18808` `pow-prod-down_binary64_18904` `associate-r/_binary64_18775` `-commutative_binary64_18764` `associate-+l+_binary64_18766` `+-commutative_binary64_18763`

Counts

3 → 107

Calls

3 calls:

18.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2917 to 2119 computations (27.4% saved)

series76.0ms (1.6%)

Error

Counts

3 → 9

Calls

3 calls:

26.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
25.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
19.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 187 to 177 computations (5.3% saved)

simplify148.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

596×	`div-sub_binary64_18838`
400×	`distribute-rgt-in_binary64_18783`
365×	`distribute-lft-in_binary64_18782`
319×	`distribute-rgt-out_binary64_18786`
291×	`associate-l_binary64_18774`
219×	`associate-r_binary64_18773`
186×	`associate-/l*_binary64_18778`
180×	`associate-*l/_binary64_18776`
170×	`associate-*r/_binary64_18775`
148×	`associate-+l+_binary64_18766`
147×	`times-frac_binary64_18839`
138×	`cancel-sign-sub-inv_binary64_18799`
136×	`*-commutative_binary64_18764`
126×	`sub-neg_binary64_18826`
114×	`associate-/r*_binary64_18777` `associate-+r+_binary64_18765`
98×	`associate-/l/_binary64_18780`
71×	`associate-/r/_binary64_18779`
56×	`distribute-rgt-neg-in_binary64_18791`
53×	`distribute-neg-in_binary64_18794` `distribute-rgt-out--_binary64_18787`
51×	`+-commutative_binary64_18763`
44×	`sqr-pow_binary64_18805`
43×	`distribute-lft-neg-out_binary64_18792`
41×	`exp-prod_binary64_18885`
40×	`distribute-lft-neg-in_binary64_18790`
39×	`unsub-neg_binary64_18827`
34×	`distribute-rgt-neg-out_binary64_18793`
33×	`exp-sum_binary64_18879` `neg-sub0_binary64_18828` `*-rgt-identity_binary64_18823` `unswap-sqr_binary64_18801`
30×	`*-lft-identity_binary64_18822`
26×	`cube-prod_binary64_18861` `neg-mul-1_binary64_18829`
25×	`log-div_binary64_18920` `cube-div_binary64_18862` `associate--r+_binary64_18769`
24×	`distribute-rgt1-in_binary64_18789`
23×	`distribute-neg-frac_binary64_18797`
20×	`/-rgt-identity_binary64_18824` `distribute-lft1-in_binary64_18788` `associate-+r-_binary64_18767`
18×	`swap-sqr_binary64_18800`
17×	`unpow3_binary64_18899`
16×	`associate--l+_binary64_18770`
15×	`associate-+l-_binary64_18768`
14×	`log-prod_binary64_18919` `cube-mult_binary64_18863` `mul-1-neg_binary64_18825`
12×	`+-rgt-identity_binary64_18818`
9×	`cube-unmult_binary64_18870`
7×	`prod-exp_binary64_18882` `exp-diff_binary64_18881`
6×	`log-rec_binary64_18921` `rem-sqrt-square_binary64_18846` `sub0-neg_binary64_18820`
5×	`pow-plus_binary64_18896` `pow-sqr_binary64_18806`
4×	`difference-of-squares_binary64_18802`
3×	`unpow1/2_binary64_18897`
2×	`exp-neg_binary64_18880` `remove-double-div_binary64_18809` `distribute-lft-out_binary64_18784` `associate--l-_binary64_18771`
1×	`unpow2_binary64_18898` `unpow1_binary64_18891` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `rem-square-sqrt_binary64_18845` `difference-of-sqr--1_binary64_18804` `distribute-lft-out--_binary64_18785` `associate--r-_binary64_18772`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_19096` `erf-erfc_binary64_19095` `erf-odd_binary64_19094` `if-if-and-not_binary64_19093` `if-if-and_binary64_19092` `if-if-or-not_binary64_19091` `if-if-or_binary64_19090` `if-not_binary64_19089` `if-same_binary64_19088` `if-false_binary64_19087` `if-true_binary64_19086` `not-gte_binary64_19085` `not-lte_binary64_19084` `not-gt_binary64_19083` `not-lt_binary64_19082` `gte-same_binary64_19081` `lte-same_binary64_19080` `gt-same_binary64_19079` `lt-same_binary64_19078` `sinh---cosh_binary64_19025` `sinh-+-cosh_binary64_19024` `sinh-cosh_binary64_19023` `tanh-def-c_binary64_19022` `tanh-def-b_binary64_19021` `tanh-def-a_binary64_19020` `cosh-def_binary64_19019` `sinh-def_binary64_19018` `tan-neg_binary64_18965` `cos-neg_binary64_18964` `sin-neg_binary64_18963` `tan-0_binary64_18962` `cos-0_binary64_18961` `sin-0_binary64_18960` `hang-m-tan_binary64_18959` `hang-p-tan_binary64_18958` `hang-m0-tan_binary64_18957` `hang-p0-tan_binary64_18956` `hang-0m-tan_binary64_18955` `hang-0p-tan_binary64_18954` `tan-+PI/2_binary64_18953` `tan-+PI_binary64_18952` `tan-PI_binary64_18951` `tan-PI/3_binary64_18950` `tan-PI/4_binary64_18949` `tan-PI/6_binary64_18948` `cos-+PI/2_binary64_18947` `cos-+PI_binary64_18946` `cos-PI_binary64_18945` `cos-PI/2_binary64_18944` `cos-PI/3_binary64_18943` `cos-PI/4_binary64_18942` `cos-PI/6_binary64_18941` `sin-+PI/2_binary64_18940` `sin-+PI_binary64_18939` `sin-PI_binary64_18938` `sin-PI/2_binary64_18937` `sin-PI/3_binary64_18936` `sin-PI/4_binary64_18935` `sin-PI/6_binary64_18934` `sub-1-sin_binary64_18933` `sub-1-cos_binary64_18932` `-1-add-sin_binary64_18931` `-1-add-cos_binary64_18930` `1-sub-sin_binary64_18929` `1-sub-cos_binary64_18928` `cos-sin-sum_binary64_18927` `log-E_binary64_18923` `log-pow_binary64_18922` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `exp-to-pow_binary64_18895` `pow-base-1_binary64_18893` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-lft-sqr_binary64_18888` `exp-cbrt_binary64_18887` `exp-sqrt_binary64_18886` `div-exp_binary64_18884` `rec-exp_binary64_18883` `e-exp-1_binary64_18878` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-neg_binary64_18860` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `remove-double-neg_binary64_18821` `--rgt-identity_binary64_18819` `+-lft-identity_binary64_18817` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `div0_binary64_18814` `*-inverses_binary64_18813` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `count-2_binary64_18781`

Counts

116 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	3051
1	355	2807
2	1076	2799
3	3555	2799
4	4735	2799
5	5707	2799

prune149.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Error

Counts

95 → 3

Compiler

Compiled 2447 to 1773 computations (27.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
1.3b	(pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6)

rewrite257.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

51×	`*-un-lft-identity_binary64_18833`
36×	`exp-prod_binary64_18885` `times-frac_binary64_18839`
31×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
19×	`pow-pow_binary64_18905`
10×	`distribute-lft-out_binary64_18784` `add-log-exp_binary64_18872`
6×	`associate-/r/_binary64_18779` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
5×	`pow1_binary64_18894` `flip3-+_binary64_18836` `flip-+_binary64_18807`
4×	`associate-/l*_binary64_18778`
3×	`unpow-prod-down_binary64_18912` `pow-unpow_binary64_18910` `div-inv_binary64_18830` `associate-/r*_binary64_18777` `sum-log_binary64_18924`
2×	`associate-/l/_binary64_18780`
1×	`pow-to-exp_binary64_18902` `pow-exp_binary64_18901` `sqr-pow_binary64_18805` `div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `rem-exp-log_binary64_18873` `associate-+l+_binary64_18766` `+-commutative_binary64_18763`

Counts

4 → 109

Calls

4 calls:

16.0ms	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
15.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6)
12.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
7.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 3163 to 2393 computations (24.3% saved)

series141.0ms (3%)

Error

Counts

4 → 12

Calls

4 calls:

67.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6)
25.0ms	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
23.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
16.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 378 to 351 computations (7.1% saved)

simplify118.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

680×	`times-frac_binary64_18839`
407×	`distribute-rgt-in_binary64_18783`
386×	`associate-l_binary64_18774`
378×	`distribute-lft-in_binary64_18782`
328×	`associate-r_binary64_18773`
238×	`exp-prod_binary64_18885`
200×	`log-prod_binary64_18919`
161×	`cube-prod_binary64_18861`
143×	`associate-+l+_binary64_18766`
109×	`*-commutative_binary64_18764`
87×	`associate-+r+_binary64_18765`
75×	`associate-/l*_binary64_18778`
61×	`cancel-sign-sub-inv_binary64_18799`
55×	`sqr-pow_binary64_18805`
48×	`prod-exp_binary64_18882` `associate-+l-_binary64_18768`
47×	`unswap-sqr_binary64_18801`
44×	`associate-/l/_binary64_18780` `associate-/r*_binary64_18777`
42×	`associate-*l/_binary64_18776`
36×	`associate-*r/_binary64_18775`
34×	`+-commutative_binary64_18763`
33×	`exp-sum_binary64_18879`
32×	`sub-neg_binary64_18826` `associate-+r-_binary64_18767`
30×	`distribute-lft-neg-out_binary64_18792`
29×	`distribute-rgt-neg-in_binary64_18791`
25×	`pow-plus_binary64_18896`
24×	`distribute-rgt-neg-out_binary64_18793`
23×	`distribute-rgt-out_binary64_18786` `associate--r+_binary64_18769`
22×	`log-pow_binary64_18922` `cube-unmult_binary64_18870` `swap-sqr_binary64_18800` `distribute-lft-neg-in_binary64_18790`
19×	`distribute-neg-in_binary64_18794` `associate-/r/_binary64_18779`
15×	`exp-diff_binary64_18881` `neg-sub0_binary64_18828` `unsub-neg_binary64_18827` `associate--l+_binary64_18770`
14×	`unpow3_binary64_18899` `*-rgt-identity_binary64_18823`
13×	`neg-mul-1_binary64_18829`
11×	`cube-mult_binary64_18863` `*-lft-identity_binary64_18822` `distribute-rgt-out--_binary64_18787`
10×	`pow-sqr_binary64_18806`
8×	`div-sub_binary64_18838`
6×	`rem-sqrt-square_binary64_18846` `mul-1-neg_binary64_18825`
5×	`associate--r-_binary64_18772` `associate--l-_binary64_18771`
4×	`/-rgt-identity_binary64_18824` `distribute-lft-out_binary64_18784`
3×	`rem-log-exp_binary64_18874` `count-2_binary64_18781`
2×	`log-div_binary64_18920` `sqr-neg_binary64_18847` `distribute-neg-frac_binary64_18797` `distribute-rgt1-in_binary64_18789`
1×	`unpow2_binary64_18898` `unpow1/2_binary64_18897` `unpow1_binary64_18891` `e-exp-1_binary64_18878` `1-exp_binary64_18877` `rem-exp-log_binary64_18873` `cube-neg_binary64_18860` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `rem-square-sqrt_binary64_18845` `remove-double-neg_binary64_18821` `sub0-neg_binary64_18820` `difference-of-sqr--1_binary64_18804` `difference-of-squares_binary64_18802` `distribute-neg-out_binary64_18795` `distribute-lft-out--_binary64_18785`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_19096` `erf-erfc_binary64_19095` `erf-odd_binary64_19094` `if-if-and-not_binary64_19093` `if-if-and_binary64_19092` `if-if-or-not_binary64_19091` `if-if-or_binary64_19090` `if-not_binary64_19089` `if-same_binary64_19088` `if-false_binary64_19087` `if-true_binary64_19086` `not-gte_binary64_19085` `not-lte_binary64_19084` `not-gt_binary64_19083` `not-lt_binary64_19082` `gte-same_binary64_19081` `lte-same_binary64_19080` `gt-same_binary64_19079` `lt-same_binary64_19078` `sinh---cosh_binary64_19025` `sinh-+-cosh_binary64_19024` `sinh-cosh_binary64_19023` `tanh-def-c_binary64_19022` `tanh-def-b_binary64_19021` `tanh-def-a_binary64_19020` `cosh-def_binary64_19019` `sinh-def_binary64_19018` `tan-neg_binary64_18965` `cos-neg_binary64_18964` `sin-neg_binary64_18963` `tan-0_binary64_18962` `cos-0_binary64_18961` `sin-0_binary64_18960` `hang-m-tan_binary64_18959` `hang-p-tan_binary64_18958` `hang-m0-tan_binary64_18957` `hang-p0-tan_binary64_18956` `hang-0m-tan_binary64_18955` `hang-0p-tan_binary64_18954` `tan-+PI/2_binary64_18953` `tan-+PI_binary64_18952` `tan-PI_binary64_18951` `tan-PI/3_binary64_18950` `tan-PI/4_binary64_18949` `tan-PI/6_binary64_18948` `cos-+PI/2_binary64_18947` `cos-+PI_binary64_18946` `cos-PI_binary64_18945` `cos-PI/2_binary64_18944` `cos-PI/3_binary64_18943` `cos-PI/4_binary64_18942` `cos-PI/6_binary64_18941` `sin-+PI/2_binary64_18940` `sin-+PI_binary64_18939` `sin-PI_binary64_18938` `sin-PI/2_binary64_18937` `sin-PI/3_binary64_18936` `sin-PI/4_binary64_18935` `sin-PI/6_binary64_18934` `sub-1-sin_binary64_18933` `sub-1-cos_binary64_18932` `-1-add-sin_binary64_18931` `-1-add-cos_binary64_18930` `1-sub-sin_binary64_18929` `1-sub-cos_binary64_18928` `cos-sin-sum_binary64_18927` `log-E_binary64_18923` `log-rec_binary64_18921` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `exp-to-pow_binary64_18895` `pow-base-1_binary64_18893` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-lft-sqr_binary64_18888` `exp-cbrt_binary64_18887` `exp-sqrt_binary64_18886` `div-exp_binary64_18884` `rec-exp_binary64_18883` `exp-neg_binary64_18880` `exp-1-e_binary64_18876` `exp-0_binary64_18875` `cube-div_binary64_18862` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `sqr-abs_binary64_18848` `--rgt-identity_binary64_18819` `+-rgt-identity_binary64_18818` `+-lft-identity_binary64_18817` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `div0_binary64_18814` `*-inverses_binary64_18813` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `remove-double-div_binary64_18809` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-frac-neg_binary64_18796` `distribute-lft1-in_binary64_18788`

Counts

121 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	2889
1	355	2723
2	932	2661
3	3438	2661
4	5135	2661

prune95.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Error

Counts

60 → 3

Compiler

Compiled 1527 to 1161 computations (24% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.1b	(.f64 (/.f64 (.f64 6 (-.f64 x 1)) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.4b	(-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))
15.5b	(/.f64 (.f64 6 (-.f64 x 1)) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 x 16)))

rewrite293.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
11×	`add-log-exp_binary64_18872` `add-sqr-sqrt_binary64_18855`
9×	`add-cube-cbrt_binary64_18868` `-un-lft-identity_binary64_18833` `associate-l*_binary64_18774`
7×	`flip3--_binary64_18837` `flip--_binary64_18808`
6×	`pow1_binary64_18894` `times-frac_binary64_18839`
5×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `associate--l+_binary64_18770`
4×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `associate-*r/_binary64_18775` `associate-/r/_binary64_18779` `sub-neg_binary64_18826` `cancel-sign-sub-inv_binary64_18799` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782`
3×	`associate-/r_binary64_18777` `diff-log_binary64_18925` `associate-r*_binary64_18773`
2×	`div-inv_binary64_18830` `associate-/l/_binary64_18780` `frac-times_binary64_18843`
1×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `associate-/l_binary64_18778` `pow-prod-down_binary64_18904` `unswap-sqr_binary64_18801` `associate-l/_binary64_18776` `*-commutative_binary64_18764` `sum-log_binary64_18924`

Counts

4 → 92

Calls

4 calls:

28.0ms	(.f64 (/.f64 (.f64 6 (-.f64 x 1)) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
18.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 x 16)))
11.0ms	(-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))
6.0ms	(-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 3798 to 2836 computations (25.3% saved)

series250.0ms (5.2%)

Error

Counts

4 → 26

Calls

4 calls:

94.0ms	(-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))
68.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 x 16)))
35.0ms	(.f64 (/.f64 (.f64 6 (-.f64 x 1)) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
22.0ms	(-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1209 to 987 computations (18.4% saved)

simplify135.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

794×	`associate-/l*_binary64_18778`
199×	`associate-/r/_binary64_18779`
183×	`associate-l_binary64_18774`
167×	`associate-/l/_binary64_18780`
149×	`associate-r_binary64_18773`
140×	`cancel-sign-sub-inv_binary64_18799`
121×	`distribute-rgt-neg-in_binary64_18791`
120×	`distribute-rgt-in_binary64_18783`
114×	`*-commutative_binary64_18764`
109×	`distribute-lft-in_binary64_18782`
100×	`distribute-lft-neg-in_binary64_18790`
96×	`associate-*l/_binary64_18776`
90×	`log-div_binary64_18920`
74×	`div-sub_binary64_18838` `associate-*r/_binary64_18775`
61×	`sub-neg_binary64_18826`
59×	`distribute-rgt-out_binary64_18786`
58×	`log-prod_binary64_18919` `exp-prod_binary64_18885`
46×	`distribute-lft-neg-out_binary64_18792`
45×	`+-commutative_binary64_18763`
44×	`times-frac_binary64_18839` `sqr-pow_binary64_18805`
42×	`neg-sub0_binary64_18828`
41×	`neg-mul-1_binary64_18829`
38×	`exp-sum_binary64_18879`
37×	`associate-/r*_binary64_18777` `associate-+l+_binary64_18766`
36×	`distribute-rgt-neg-out_binary64_18793`
33×	`distribute-neg-in_binary64_18794` `associate-+r+_binary64_18765`
32×	`cube-prod_binary64_18861`
28×	`swap-sqr_binary64_18800`
24×	`unswap-sqr_binary64_18801`
20×	`distribute-neg-frac_binary64_18797`
19×	`*-rgt-identity_binary64_18823`
18×	`distribute-lft-out_binary64_18784`
17×	`unsub-neg_binary64_18827`
16×	`*-lft-identity_binary64_18822`
13×	`cube-div_binary64_18862` `associate--l+_binary64_18770`
12×	`log-rec_binary64_18921`
9×	`difference-of-squares_binary64_18802`
8×	`distribute-rgt-out--_binary64_18787`
7×	`cube-unmult_binary64_18870`
6×	`unpow3_binary64_18899` `div-exp_binary64_18884` `exp-diff_binary64_18881` `cube-mult_binary64_18863` `distribute-rgt1-in_binary64_18789`
5×	`associate--r+_binary64_18769`
4×	`pow-plus_binary64_18896` `mul-1-neg_binary64_18825` `/-rgt-identity_binary64_18824` `pow-sqr_binary64_18806` `associate-+r-_binary64_18767`
3×	`+-rgt-identity_binary64_18818` `distribute-frac-neg_binary64_18796` `distribute-lft1-in_binary64_18788`
2×	`associate-+l-_binary64_18768`
1×	`unpow2_binary64_18898` `unpow1/2_binary64_18897` `unpow1_binary64_18891` `prod-exp_binary64_18882` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `remove-double-neg_binary64_18821` `*-inverses_binary64_18813` `difference-of-sqr--1_binary64_18804` `distribute-lft-out--_binary64_18785` `associate--r-_binary64_18772`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_19096` `erf-erfc_binary64_19095` `erf-odd_binary64_19094` `if-if-and-not_binary64_19093` `if-if-and_binary64_19092` `if-if-or-not_binary64_19091` `if-if-or_binary64_19090` `if-not_binary64_19089` `if-same_binary64_19088` `if-false_binary64_19087` `if-true_binary64_19086` `not-gte_binary64_19085` `not-lte_binary64_19084` `not-gt_binary64_19083` `not-lt_binary64_19082` `gte-same_binary64_19081` `lte-same_binary64_19080` `gt-same_binary64_19079` `lt-same_binary64_19078` `sinh---cosh_binary64_19025` `sinh-+-cosh_binary64_19024` `sinh-cosh_binary64_19023` `tanh-def-c_binary64_19022` `tanh-def-b_binary64_19021` `tanh-def-a_binary64_19020` `cosh-def_binary64_19019` `sinh-def_binary64_19018` `tan-neg_binary64_18965` `cos-neg_binary64_18964` `sin-neg_binary64_18963` `tan-0_binary64_18962` `cos-0_binary64_18961` `sin-0_binary64_18960` `hang-m-tan_binary64_18959` `hang-p-tan_binary64_18958` `hang-m0-tan_binary64_18957` `hang-p0-tan_binary64_18956` `hang-0m-tan_binary64_18955` `hang-0p-tan_binary64_18954` `tan-+PI/2_binary64_18953` `tan-+PI_binary64_18952` `tan-PI_binary64_18951` `tan-PI/3_binary64_18950` `tan-PI/4_binary64_18949` `tan-PI/6_binary64_18948` `cos-+PI/2_binary64_18947` `cos-+PI_binary64_18946` `cos-PI_binary64_18945` `cos-PI/2_binary64_18944` `cos-PI/3_binary64_18943` `cos-PI/4_binary64_18942` `cos-PI/6_binary64_18941` `sin-+PI/2_binary64_18940` `sin-+PI_binary64_18939` `sin-PI_binary64_18938` `sin-PI/2_binary64_18937` `sin-PI/3_binary64_18936` `sin-PI/4_binary64_18935` `sin-PI/6_binary64_18934` `sub-1-sin_binary64_18933` `sub-1-cos_binary64_18932` `-1-add-sin_binary64_18931` `-1-add-cos_binary64_18930` `1-sub-sin_binary64_18929` `1-sub-cos_binary64_18928` `cos-sin-sum_binary64_18927` `log-E_binary64_18923` `log-pow_binary64_18922` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `exp-to-pow_binary64_18895` `pow-base-1_binary64_18893` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-lft-sqr_binary64_18888` `exp-cbrt_binary64_18887` `exp-sqrt_binary64_18886` `rec-exp_binary64_18883` `exp-neg_binary64_18880` `e-exp-1_binary64_18878` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-neg_binary64_18860` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `sub0-neg_binary64_18820` `--rgt-identity_binary64_18819` `+-lft-identity_binary64_18817` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `div0_binary64_18814` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `remove-double-div_binary64_18809` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-neg-out_binary64_18795` `count-2_binary64_18781` `associate--l-_binary64_18771`

Counts

118 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3832
1	568	2971
2	2270	2958
3	4841	2958
4	4913	2958

prune160.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Error

Counts

96 → 3

Compiler

Compiled 3015 to 2195 computations (27.2% saved)

regimes209.0ms (4.4%)

Accuracy

Total 0.0b remaining (99%)

Threshold costs 0.0b (99%)

Compiler

Compiled 2087 to 1753 computations (16% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_18763`
3×	`*-commutative_binary64_18764`
2×	`neg-mul-1_binary64_18829` `neg-sub0_binary64_18828` `sub-neg_binary64_18826` `*-rgt-identity_binary64_18823`
1×	`1-exp_binary64_18877` `unsub-neg_binary64_18827` `distribute-rgt-neg-out_binary64_18793`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_19093` `if-if-and_binary64_19092` `if-if-or-not_binary64_19091` `if-if-or_binary64_19090` `if-not_binary64_19089` `if-same_binary64_19088` `if-false_binary64_19087` `if-true_binary64_19086` `tan-0_binary64_18962` `cos-0_binary64_18961` `sin-0_binary64_18960` `unpow1_binary64_18891` `e-exp-1_binary64_18878` `exp-1-e_binary64_18876` `exp-0_binary64_18875` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `mul-1-neg_binary64_18825` `/-rgt-identity_binary64_18824` `*-lft-identity_binary64_18822` `remove-double-neg_binary64_18821` `sub0-neg_binary64_18820` `--rgt-identity_binary64_18819` `+-rgt-identity_binary64_18818` `+-lft-identity_binary64_18817` `cancel-sign-sub-inv_binary64_18799` `cancel-sign-sub_binary64_18798` `distribute-neg-frac_binary64_18797` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `distribute-neg-in_binary64_18794` `distribute-lft-neg-out_binary64_18792` `distribute-rgt-neg-in_binary64_18791` `distribute-lft-neg-in_binary64_18790`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	21	21
2	25	21
3	27	21
4	30	21
5	29	21
6	26	21

end0.0ms (0%)

sample1.5s (30.9%)

Algorithm

1×

intervals

Results

335.0ms

8000×

body

128

valid

Compiler

Compiled 993 to 830 computations (16.4% saved)

Details

analyze421.0ms (8.8%)

sample18.0ms (0.4%)

simplify292.0ms (6.1%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite86.0ms (1.8%)

series43.0ms (0.9%)

simplify88.0ms (1.8%)

prune55.0ms (1.1%)

localize9.0ms (0.2%)

rewrite217.0ms (4.5%)

series76.0ms (1.6%)

simplify148.0ms (3.1%)

prune149.0ms (3.1%)

localize12.0ms (0.3%)

rewrite257.0ms (5.4%)

series141.0ms (3%)

simplify118.0ms (2.5%)

prune95.0ms (2%)

localize15.0ms (0.3%)

rewrite293.0ms (6.1%)

series250.0ms (5.2%)

simplify135.0ms (2.8%)

prune160.0ms (3.3%)

regimes209.0ms (4.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (30.9%)

Profiling