Details

analyze117.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample17.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify406.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

518×	`exp-sum_binary64_18879`
511×	`exp-prod_binary64_18885`
325×	`div-sub_binary64_18838`
324×	`exp-diff_binary64_18881`
256×	`associate--l+_binary64_18770`
228×	`associate-/l*_binary64_18778`
202×	`times-frac_binary64_18839`
175×	`associate-/l/_binary64_18780`
168×	`associate-+l+_binary64_18766`
165×	`associate-+r+_binary64_18765`
164×	`cube-prod_binary64_18861`
157×	`associate--r+_binary64_18769`
147×	`cube-div_binary64_18862`
138×	`*-commutative_binary64_18764`
135×	`swap-sqr_binary64_18800`
134×	`distribute-rgt-in_binary64_18783`
120×	`associate-/r/_binary64_18779`
119×	`pow-plus_binary64_18896`
110×	`associate-/r*_binary64_18777`
107×	`distribute-lft-in_binary64_18782`
101×	`associate-*l/_binary64_18776`
88×	`cancel-sign-sub-inv_binary64_18799`
64×	`distribute-rgt-neg-in_binary64_18791`
62×	`distribute-neg-in_binary64_18794` `distribute-rgt1-in_binary64_18789`
59×	`sqr-pow_binary64_18805`
54×	`sub-neg_binary64_18826`
53×	`unpow3_binary64_18899` `distribute-lft-neg-in_binary64_18790`
48×	`pow-sqr_binary64_18806`
47×	`cube-mult_binary64_18863`
46×	`pow-base-1_binary64_18893`
45×	`distribute-rgt-neg-out_binary64_18793`
43×	`distribute-lft-neg-out_binary64_18792`
41×	`associate-r/_binary64_18775` `associate-r*_binary64_18773`
40×	`unsub-neg_binary64_18827`
39×	`associate--l-_binary64_18771`
37×	`neg-mul-1_binary64_18829`
35×	`neg-sub0_binary64_18828`
30×	`distribute-rgt-out_binary64_18786`
28×	`associate--r-_binary64_18772`
26×	`distribute-rgt-out--_binary64_18787` `associate-l_binary64_18774`
23×	`distribute-frac-neg_binary64_18796`
21×	`associate-+r-_binary64_18767`
20×	`+-commutative_binary64_18763`
18×	`exp-neg_binary64_18880` `associate-+l-_binary64_18768`
15×	`exp-lft-sqr_binary64_18888` `*-lft-identity_binary64_18822`
13×	`*-rgt-identity_binary64_18823`
12×	`div-exp_binary64_18884` `prod-exp_binary64_18882` `remove-double-div_binary64_18809` `distribute-neg-frac_binary64_18797`
10×	`cube-unmult_binary64_18870`
8×	`/-rgt-identity_binary64_18824`
7×	`distribute-lft-out_binary64_18784`
6×	`sqr-neg_binary64_18847` `--rgt-identity_binary64_18819` `distribute-lft-out--_binary64_18785` `count-2_binary64_18781`
5×	`+-inverses_binary64_18812` `distribute-neg-out_binary64_18795`
4×	`rec-exp_binary64_18883` `remove-double-neg_binary64_18821`
3×	`difference-of-squares_binary64_18802`
2×	`exp-sqrt_binary64_18886` `+-rgt-identity_binary64_18818` `+-lft-identity_binary64_18817` `lft-mult-inverse_binary64_18811` `difference-of-sqr--1_binary64_18804`
1×	`pow-base-0_binary64_18917` `unpow1_binary64_18891` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `cube-neg_binary64_18860` `div0_binary64_18814` `*-inverses_binary64_18813` `cancel-sign-sub_binary64_18798` `distribute-lft1-in_binary64_18788`
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` `unpow1/3_binary64_18900` `unpow2_binary64_18898` `unpow1/2_binary64_18897` `exp-to-pow_binary64_18895` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-cbrt_binary64_18887` `e-exp-1_binary64_18878` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `mul-1-neg_binary64_18825` `sub0-neg_binary64_18820` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `rgt-mult-inverse_binary64_18810` `difference-of-sqr-1_binary64_18803` `unswap-sqr_binary64_18801`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	22	16
2	29	16
3	73	16
4	105	16
5	214	16
6	396	16
7	601	16
8	1555	16
9	3281	16

prune14.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

0.0b

Counts

6 → 3

Compiler

Compiled 88 to 60 computations (31.8% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite237.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

155×	`*-un-lft-identity_binary64_18833`
146×	`times-frac_binary64_18839`
71×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
42×	`distribute-lft-out_binary64_18784`
26×	`associate-/r*_binary64_18777`
11×	`associate-/r/_binary64_18779`
9×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
7×	`associate-/l*_binary64_18778`
6×	`div-inv_binary64_18830` `flip3-+_binary64_18836` `flip-+_binary64_18807`
4×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
2×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `associate-/l/_binary64_18780`

Counts

2 → 146

Calls

2 calls:

15.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
11.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

Compiler

Compiled 3494 to 2096 computations (40% saved)

series364.0ms (2.5%)

Error

0.0b

Counts

2 → 34

Calls

2 calls:

194.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
136.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

Compiler

Compiled 1265 to 893 computations (29.4% saved)

simplify708.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

431×	`associate-/r*_binary64_18777`
359×	`associate--l+_binary64_18770`
314×	`associate-+l+_binary64_18766`
313×	`*-commutative_binary64_18764`
257×	`distribute-rgt-in_binary64_18783`
213×	`distribute-lft-in_binary64_18782`
191×	`associate-/l*_binary64_18778`
189×	`associate-+r+_binary64_18765`
173×	`associate--r+_binary64_18769`
162×	`sub-neg_binary64_18826`
150×	`associate-/r/_binary64_18779`
147×	`cancel-sign-sub-inv_binary64_18799`
145×	`associate-/l/_binary64_18780`
110×	`associate-*l/_binary64_18776`
106×	`times-frac_binary64_18839`
81×	`associate-+l-_binary64_18768`
77×	`+-commutative_binary64_18763`
68×	`associate-+r-_binary64_18767`
54×	`associate-*r/_binary64_18775`
51×	`*-rgt-identity_binary64_18823`
41×	`associate-r_binary64_18773`
36×	`/-rgt-identity_binary64_18824`
35×	`unsub-neg_binary64_18827` `sqr-pow_binary64_18805`
34×	`associate-l_binary64_18774`
33×	`distribute-rgt-out_binary64_18786`
31×	`distribute-neg-in_binary64_18794`
29×	`neg-mul-1_binary64_18829` `distribute-neg-frac_binary64_18797`
28×	`neg-sub0_binary64_18828`
26×	`distribute-rgt-neg-in_binary64_18791`
24×	`*-lft-identity_binary64_18822` `distribute-rgt-out--_binary64_18787`
21×	`distribute-lft-neg-in_binary64_18790`
18×	`div-sub_binary64_18838` `pow-sqr_binary64_18806`
17×	`unswap-sqr_binary64_18801`
16×	`div-exp_binary64_18884` `prod-exp_binary64_18882`
14×	`log-div_binary64_18920`
13×	`cube-div_binary64_18862`
11×	`pow-plus_binary64_18896`
10×	`log-prod_binary64_18919` `cube-prod_binary64_18861` `swap-sqr_binary64_18800` `distribute-rgt1-in_binary64_18789`
8×	`distribute-lft-out_binary64_18784`
7×	`associate--l-_binary64_18771`
5×	`log-pow_binary64_18922` `cube-unmult_binary64_18870` `distribute-rgt-neg-out_binary64_18793` `distribute-lft-neg-out_binary64_18792`
4×	`log-rec_binary64_18921` `unpow3_binary64_18899` `rec-exp_binary64_18883` `exp-sum_binary64_18879` `cube-mult_binary64_18863` `distribute-lft-out--_binary64_18785`
3×	`pow-base-1_binary64_18893` `exp-prod_binary64_18885` `remove-double-div_binary64_18809` `associate--r-_binary64_18772`
2×	`unpow2_binary64_18898` `unpow1_binary64_18891` `difference-of-squares_binary64_18802`
1×	`1-exp_binary64_18877` `rem-log-exp_binary64_18874` `remove-double-neg_binary64_18821` `sub0-neg_binary64_18820` `+-rgt-identity_binary64_18818` `div0_binary64_18814` `*-inverses_binary64_18813` `cancel-sign-sub_binary64_18798` `distribute-lft1-in_binary64_18788` `count-2_binary64_18781`
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` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `unpow1/2_binary64_18897` `exp-to-pow_binary64_18895` `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` `exp-diff_binary64_18881` `exp-neg_binary64_18880` `e-exp-1_binary64_18878` `exp-1-e_binary64_18876` `exp-0_binary64_18875` `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` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `mul-1-neg_binary64_18825` `--rgt-identity_binary64_18819` `+-lft-identity_binary64_18817` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `difference-of-sqr--1_binary64_18804` `difference-of-sqr-1_binary64_18803` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795`

Counts

180 → 754

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	4808
1	635	4592
2	2399	4520

prune1.3s (8.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	752	2	754
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	752	5	757

Error

Counts

757 → 5

Compiler

Compiled 18855 to 10349 computations (45.1% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1))
0.1b	(*.f64 x (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))

rewrite134.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`*-un-lft-identity_binary64_18833`
33×	`times-frac_binary64_18839`
27×	`add-sqr-sqrt_binary64_18855`
22×	`add-cube-cbrt_binary64_18868` `associate-r_binary64_18773`
18×	`distribute-lft-out_binary64_18784`
9×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
4×	`pow1_binary64_18894` `associate-/r/_binary64_18779` `associate-/l_binary64_18778` `associate-/r_binary64_18777`
3×	`associate-l_binary64_18774` `flip3-+_binary64_18836` `flip-+_binary64_18807`
2×	`div-exp_binary64_18884` `prod-exp_binary64_18882` `add-log-exp_binary64_18872` `cbrt-unprod_binary64_18866` `cbrt-undiv_binary64_18867` `unswap-sqr_binary64_18801` `div-inv_binary64_18830` `associate-/l/_binary64_18780`
1×	`pow-prod-down_binary64_18904` `associate-r/_binary64_18775` `-commutative_binary64_18764` `frac-2neg_binary64_18844` `clear-num_binary64_18832`

Counts

2 → 81

Calls

2 calls:

20.0ms	(*.f64 x (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))
11.0ms	(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1))

Compiler

Compiled 1718 to 1070 computations (37.7% saved)

series386.0ms (2.6%)

Error

Counts

2 → 36

Calls

2 calls:

188.0ms	(*.f64 x (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))
161.0ms	(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1))

Compiler

Compiled 1226 to 901 computations (26.5% saved)

simplify356.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

569×	`associate--l+_binary64_18770`
453×	`associate-/l*_binary64_18778`
408×	`associate-*l/_binary64_18776`
337×	`associate-*r/_binary64_18775`
285×	`associate--r+_binary64_18769`
207×	`associate-/l/_binary64_18780`
198×	`sub-neg_binary64_18826`
188×	`distribute-rgt-in_binary64_18783`
182×	`associate-/r/_binary64_18779`
180×	`cancel-sign-sub-inv_binary64_18799`
162×	`associate-/r*_binary64_18777`
140×	`distribute-lft-in_binary64_18782`
87×	`associate-l_binary64_18774`
73×	`+-commutative_binary64_18763`
64×	`associate-r_binary64_18773`
60×	`associate-+l+_binary64_18766`
52×	`unsub-neg_binary64_18827`
51×	`distribute-neg-in_binary64_18794`
45×	`*-commutative_binary64_18764`
42×	`associate-+r+_binary64_18765`
41×	`times-frac_binary64_18839`
38×	`*-rgt-identity_binary64_18823`
35×	`distribute-rgt-neg-in_binary64_18791`
32×	`neg-mul-1_binary64_18829`
31×	`neg-sub0_binary64_18828`
29×	`distribute-neg-frac_binary64_18797`
28×	`distribute-lft-neg-in_binary64_18790` `distribute-rgt-out--_binary64_18787`
27×	`sqr-pow_binary64_18805`
26×	`*-lft-identity_binary64_18822`
19×	`distribute-rgt-out_binary64_18786`
16×	`log-prod_binary64_18919` `div-exp_binary64_18884` `prod-exp_binary64_18882` `unswap-sqr_binary64_18801`
13×	`pow-sqr_binary64_18806`
12×	`log-div_binary64_18920` `/-rgt-identity_binary64_18824`
10×	`cube-prod_binary64_18861` `distribute-rgt1-in_binary64_18789` `associate--l-_binary64_18771`
9×	`exp-prod_binary64_18885` `div-sub_binary64_18838`
8×	`pow-plus_binary64_18896` `cube-div_binary64_18862` `swap-sqr_binary64_18800`
5×	`log-pow_binary64_18922` `cube-unmult_binary64_18870`
4×	`rec-exp_binary64_18883`
3×	`pow-base-1_binary64_18893`
2×	`log-rec_binary64_18921` `unpow3_binary64_18899` `cube-mult_binary64_18863` `difference-of-sqr-1_binary64_18803` `associate-+l-_binary64_18768` `associate-+r-_binary64_18767`
1×	`unpow2_binary64_18898` `unpow1_binary64_18891` `exp-sqrt_binary64_18886` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `rem-log-exp_binary64_18874` `*-inverses_binary64_18813` `difference-of-squares_binary64_18802` `distribute-rgt-neg-out_binary64_18793` `distribute-lft-neg-out_binary64_18792` `distribute-lft1-in_binary64_18788` `count-2_binary64_18781` `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` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `unpow1/2_binary64_18897` `exp-to-pow_binary64_18895` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-lft-sqr_binary64_18888` `exp-cbrt_binary64_18887` `exp-diff_binary64_18881` `exp-neg_binary64_18880` `exp-sum_binary64_18879` `e-exp-1_binary64_18878` `exp-0_binary64_18875` `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` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `mul-1-neg_binary64_18825` `remove-double-neg_binary64_18821` `sub0-neg_binary64_18820` `--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_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `remove-double-div_binary64_18809` `difference-of-sqr--1_binary64_18804` `cancel-sign-sub_binary64_18798` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `distribute-lft-out--_binary64_18785` `distribute-lft-out_binary64_18784`

Counts

117 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2489
1	455	2336
2	1700	2287

prune168.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	157	5	162

Error

Counts

162 → 5

Compiler

Compiled 3150 to 1718 computations (45.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) x)
0.2b	(/.f64 (+.f64 (/.f64 x y) 1) (/.f64 (+.f64 x 1) x))

rewrite195.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

140×	`*-un-lft-identity_binary64_18833`
136×	`times-frac_binary64_18839`
68×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
36×	`distribute-lft-out_binary64_18784`
19×	`associate-/r*_binary64_18777`
9×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
8×	`associate-/l*_binary64_18778`
7×	`div-inv_binary64_18830`
4×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `associate-/l/_binary64_18780`
2×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `flip3-+_binary64_18836` `flip-+_binary64_18807`
1×	`associate-/r/_binary64_18779`

Counts

2 → 134

Calls

2 calls:

15.0ms	(/.f64 (+.f64 (/.f64 x y) 1) (/.f64 (+.f64 x 1) x))
6.0ms	(/.f64 (+.f64 x 1) x)

Compiler

Compiled 3053 to 1839 computations (39.8% saved)

series276.0ms (1.9%)

Error

Counts

2 → 24

Calls

2 calls:

195.0ms	(/.f64 (+.f64 (/.f64 x y) 1) (/.f64 (+.f64 x 1) x))
61.0ms	(/.f64 (+.f64 x 1) x)

Compiler

Compiled 702 to 524 computations (25.4% saved)

simplify447.0ms (3%)

Algorithm

1×	egg-herbie

Rules

527×	`associate-/r/_binary64_18779`
374×	`sub-neg_binary64_18826`
373×	`associate-*r/_binary64_18775`
357×	`associate-/r*_binary64_18777`
295×	`associate-l_binary64_18774`
233×	`associate--l+_binary64_18770`
223×	`*-commutative_binary64_18764`
209×	`associate-+l+_binary64_18766`
187×	`associate-r_binary64_18773`
153×	`distribute-rgt-in_binary64_18783`
144×	`associate--r+_binary64_18769`
135×	`associate-/l*_binary64_18778`
127×	`+-commutative_binary64_18763`
126×	`unsub-neg_binary64_18827`
124×	`associate-/l/_binary64_18780`
123×	`associate-+r+_binary64_18765`
120×	`div-sub_binary64_18838`
118×	`distribute-lft-in_binary64_18782`
102×	`associate-*l/_binary64_18776`
71×	`times-frac_binary64_18839`
63×	`cancel-sign-sub-inv_binary64_18799`
47×	`associate-+l-_binary64_18768`
41×	`associate-+r-_binary64_18767`
38×	`*-rgt-identity_binary64_18823`
36×	`neg-mul-1_binary64_18829` `neg-sub0_binary64_18828`
30×	`/-rgt-identity_binary64_18824`
28×	`distribute-neg-in_binary64_18794`
27×	`log-prod_binary64_18919`
26×	`distribute-rgt-out_binary64_18786`
25×	`log-div_binary64_18920`
21×	`cube-prod_binary64_18861`
18×	`sqr-pow_binary64_18805` `distribute-rgt-neg-in_binary64_18791`
17×	`cube-div_binary64_18862` `distribute-neg-frac_binary64_18797`
16×	`exp-prod_binary64_18885` `div-exp_binary64_18884` `prod-exp_binary64_18882`
14×	`unswap-sqr_binary64_18801` `distribute-lft-neg-in_binary64_18790`
13×	`*-lft-identity_binary64_18822`
12×	`distribute-rgt-out--_binary64_18787`
9×	`pow-plus_binary64_18896` `cube-unmult_binary64_18870` `swap-sqr_binary64_18800` `distribute-rgt1-in_binary64_18789`
7×	`pow-sqr_binary64_18806`
6×	`associate--l-_binary64_18771`
5×	`log-pow_binary64_18922`
4×	`unpow3_binary64_18899` `exp-sqrt_binary64_18886` `rec-exp_binary64_18883`
3×	`cube-mult_binary64_18863` `remove-double-div_binary64_18809` `associate--r-_binary64_18772`
2×	`exp-lft-sqr_binary64_18888` `distribute-lft1-in_binary64_18788`
1×	`log-rec_binary64_18921` `unpow2_binary64_18898` `exp-to-pow_binary64_18895` `pow-base-1_binary64_18893` `unpow1_binary64_18891` `exp-diff_binary64_18881` `1-exp_binary64_18877` `rem-log-exp_binary64_18874` `sqr-neg_binary64_18847` `rem-sqrt-square_binary64_18846` `remove-double-neg_binary64_18821` `sub0-neg_binary64_18820` `+-rgt-identity_binary64_18818` `div0_binary64_18814` `*-inverses_binary64_18813` `cancel-sign-sub_binary64_18798` `distribute-rgt-neg-out_binary64_18793` `distribute-lft-neg-out_binary64_18792` `distribute-lft-out_binary64_18784` `count-2_binary64_18781`
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` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `unpow1/2_binary64_18897` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-cbrt_binary64_18887` `exp-neg_binary64_18880` `exp-sum_binary64_18879` `e-exp-1_binary64_18878` `exp-1-e_binary64_18876` `exp-0_binary64_18875` `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` `rem-square-sqrt_binary64_18845` `mul-1-neg_binary64_18825` `--rgt-identity_binary64_18819` `+-lft-identity_binary64_18817` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `difference-of-sqr--1_binary64_18804` `difference-of-sqr-1_binary64_18803` `difference-of-squares_binary64_18802` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `distribute-lft-out--_binary64_18785`

Counts

158 → 445

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	3983
1	525	3827
2	1788	3791
3	4665	3791

prune731.0ms (4.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	445	0	445
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	445	5	450

Error

Counts

450 → 5

Compiler

Compiled 10792 to 6197 computations (42.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3)))
0.1b	(/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y)))
0.1b	(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3)
16.9b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3))

rewrite1.0s (6.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

398×	`*-un-lft-identity_binary64_18833`
367×	`times-frac_binary64_18839`
250×	`cbrt-prod_binary64_18864`
186×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
132×	`unpow-prod-down_binary64_18912` `cube-prod_binary64_18861`
106×	`distribute-lft-out_binary64_18784`
57×	`associate-/r*_binary64_18777`
27×	`associate-/r/_binary64_18779`
14×	`div-inv_binary64_18830` `flip3-+_binary64_18836` `flip-+_binary64_18807`
11×	`add-exp-log_binary64_18871`
10×	`add-cbrt-cube_binary64_18869`
7×	`associate-/l*_binary64_18778`
6×	`unpow3_binary64_18899` `cube-mult_binary64_18863` `sqr-pow_binary64_18805`
5×	`pow1_binary64_18894`
4×	`add-log-exp_binary64_18872`
3×	`cube-div_binary64_18862` `pow-unpow_binary64_18910` `div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
2×	`cbrt-div_binary64_18865` `pow-exp_binary64_18901` `rem-cube-cbrt_binary64_18856` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `associate-/l/_binary64_18780`
1×	`pow1/3_binary64_18915` `rem-cbrt-cube_binary64_18857` `pow-pow_binary64_18905` `pow-to-exp_binary64_18902`

Counts

4 → 392

Calls

4 calls:

25.0ms	(/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3)))
21.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3))
13.0ms	(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3)
11.0ms	(/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y)))

Compiler

Compiled 11570 to 7784 computations (32.7% saved)

series857.0ms (5.8%)

Error

Counts

4 → 69

Calls

4 calls:

316.0ms	(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3)
179.0ms	(/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3)))
150.0ms	(/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y)))
122.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))) 3))

Compiler

Compiled 3961 to 2969 computations (25% saved)

simplify1.5s (10%)

Algorithm

1×	egg-herbie

Rules

244×	`associate-/l*_binary64_18778`
212×	`times-frac_binary64_18839`
171×	`associate-+r+_binary64_18765` `+-commutative_binary64_18763`
161×	`associate-+l+_binary64_18766`
157×	`associate--l+_binary64_18770`
149×	`associate-/l/_binary64_18780`
147×	`associate-/r*_binary64_18777`
144×	`associate-/r/_binary64_18779`
111×	`associate-*l/_binary64_18776`
110×	`log-prod_binary64_18919`
109×	`associate--r+_binary64_18769`
100×	`cube-div_binary64_18862`
95×	`associate-r_binary64_18773`
93×	`sub-neg_binary64_18826`
92×	`associate-*r/_binary64_18775`
87×	`sqr-pow_binary64_18805`
83×	`associate-l_binary64_18774`
77×	`log-div_binary64_18920`
69×	`exp-prod_binary64_18885` `cube-prod_binary64_18861`
59×	`cancel-sign-sub-inv_binary64_18799`
58×	`*-commutative_binary64_18764`
54×	`distribute-rgt-in_binary64_18783`
46×	`distribute-lft-in_binary64_18782`
45×	`unpow3_binary64_18899`
43×	`pow-sqr_binary64_18806`
42×	`cube-mult_binary64_18863`
41×	`distribute-neg-in_binary64_18794`
29×	`neg-mul-1_binary64_18829` `neg-sub0_binary64_18828`
28×	`log-pow_binary64_18922` `rem-cbrt-cube_binary64_18857`
25×	`pow-plus_binary64_18896`
18×	`distribute-rgt-neg-in_binary64_18791`
17×	`div-sub_binary64_18838`
16×	`div-exp_binary64_18884` `prod-exp_binary64_18882`
14×	`rem-sqrt-square_binary64_18846` `unswap-sqr_binary64_18801`
13×	`distribute-lft-neg-in_binary64_18790`
11×	`distribute-neg-frac_binary64_18797`
10×	`cube-unmult_binary64_18870`
8×	`distribute-rgt-out_binary64_18786`
7×	`/-rgt-identity_binary64_18824` `*-lft-identity_binary64_18822` `distribute-rgt-out--_binary64_18787`
6×	`swap-sqr_binary64_18800`
5×	`*-rgt-identity_binary64_18823` `distribute-lft-neg-out_binary64_18792` `associate-+r-_binary64_18767`
4×	`rec-exp_binary64_18883`
3×	`log-rec_binary64_18921` `pow-base-1_binary64_18893` `unpow1_binary64_18891` `rem-cube-cbrt_binary64_18856` `rem-square-sqrt_binary64_18845`
2×	`unpow2_binary64_18898` `unsub-neg_binary64_18827` `remove-double-div_binary64_18809` `associate-+l-_binary64_18768`
1×	`1-exp_binary64_18877` `rem-log-exp_binary64_18874` `rem-3cbrt-lft_binary64_18858` `*-inverses_binary64_18813` `difference-of-squares_binary64_18802` `distribute-rgt1-in_binary64_18789` `distribute-lft-out_binary64_18784` `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` `pow-base-0_binary64_18917` `unpow1/3_binary64_18900` `unpow1/2_binary64_18897` `exp-to-pow_binary64_18895` `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` `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-exp-log_binary64_18873` `cube-neg_binary64_18860` `rem-3cbrt-rft_binary64_18859` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `mul-1-neg_binary64_18825` `remove-double-neg_binary64_18821` `sub0-neg_binary64_18820` `--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_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `difference-of-sqr--1_binary64_18804` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `distribute-rgt-neg-out_binary64_18793` `distribute-lft1-in_binary64_18788` `distribute-lft-out--_binary64_18785` `count-2_binary64_18781` `associate--l-_binary64_18771`

Counts

461 → 1426

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	13622
1	1123	12770
2	4401	12752

prune4.1s (27.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1426	0	1426
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	1426	5	1431

Error

Counts

1431 → 5

Compiler

Compiled 39228 to 23834 computations (39.2% saved)

regimes236.0ms (1.6%)

Accuracy

Total 0.1b remaining (95.5%)

Threshold costs 0.1b (95.5%)

Compiler

Compiled 1934 to 1517 computations (21.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_18763`
1×	`1-exp_binary64_18877` `*-commutative_binary64_18764`
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` `neg-mul-1_binary64_18829` `neg-sub0_binary64_18828` `unsub-neg_binary64_18827` `sub-neg_binary64_18826` `mul-1-neg_binary64_18825` `/-rgt-identity_binary64_18824` `-rgt-identity_binary64_18823` `-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-rgt-neg-out_binary64_18793` `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	9	16
1	14	16

Proof

(* f64 (/ f64 h0 (+ f64 h0 1)) (=> (+ f64 (/ f64 h0 h1) 1)))
+-commutative_binary64_18763 =>
(* f64 (/ f64 h0 (+ f64 h0 1)) (+ f64 1 (/ f64 h0 h1)))

end0.0ms (0%)

sample1.2s (7.8%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
8.0ms	259×	body	128	invalid

Compiler

Compiled 672 to 529 computations (21.3% saved)

Details

analyze117.0ms (0.8%)

sample17.0ms (0.1%)

simplify406.0ms (2.7%)

prune14.0ms (0.1%)

localize7.0ms (0%)

rewrite237.0ms (1.6%)

series364.0ms (2.5%)

simplify708.0ms (4.8%)

prune1.3s (8.9%)

localize6.0ms (0%)

rewrite134.0ms (0.9%)

series386.0ms (2.6%)

simplify356.0ms (2.4%)

prune168.0ms (1.1%)

localize7.0ms (0%)

rewrite195.0ms (1.3%)

series276.0ms (1.9%)

simplify447.0ms (3%)

prune731.0ms (4.9%)

localize9.0ms (0.1%)

rewrite1.0s (6.9%)

series857.0ms (5.8%)

simplify1.5s (10%)

prune4.1s (27.9%)

regimes236.0ms (1.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (7.8%)

Profiling