Details

analyze1.1s (12.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

909×	`unsub-neg_binary64_18827`
547×	`distribute-rgt-in_binary64_18783`
528×	`distribute-lft-in_binary64_18782`
459×	`sub-neg_binary64_18826`
385×	`associate-l_binary64_18774`
330×	`associate-r_binary64_18773`
315×	`distribute-rgt-neg-in_binary64_18791`
290×	`distribute-lft-neg-in_binary64_18790`
286×	`neg-sub0_binary64_18828`
281×	`neg-mul-1_binary64_18829`
279×	`distribute-rgt-neg-out_binary64_18793`
278×	`distribute-lft-neg-out_binary64_18792`
240×	`associate--r+_binary64_18769`
207×	`*-commutative_binary64_18764`
190×	`associate-+l-_binary64_18768`
183×	`cancel-sign-sub-inv_binary64_18799`
177×	`distribute-neg-in_binary64_18794`
167×	`+-commutative_binary64_18763`
162×	`remove-double-neg_binary64_18821`
129×	`associate--r-_binary64_18772`
89×	`associate-+l+_binary64_18766`
80×	`associate-+r-_binary64_18767`
76×	`mul0-rgt_binary64_18816` `mul0-lft_binary64_18815`
52×	`distribute-rgt-out_binary64_18786`
46×	`sub0-neg_binary64_18820`
44×	`distribute-lft-out_binary64_18784`
40×	`associate--l+_binary64_18770`
36×	`cancel-sign-sub_binary64_18798`
28×	`distribute-neg-out_binary64_18795` `associate-+r+_binary64_18765`
25×	`distribute-rgt-out--_binary64_18787`
20×	`--rgt-identity_binary64_18819`
14×	`+-rgt-identity_binary64_18818`
13×	`associate--l-_binary64_18771`
8×	`swap-sqr_binary64_18800`
4×	`sqr-neg_binary64_18847`
1×	`1-exp_binary64_18877`
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` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `times-frac_binary64_18839` `div-sub_binary64_18838` `mul-1-neg_binary64_18825` `/-rgt-identity_binary64_18824` `-rgt-identity_binary64_18823` `-lft-identity_binary64_18822` `+-lft-identity_binary64_18817` `div0_binary64_18814` `-inverses_binary64_18813` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `remove-double-div_binary64_18809` `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` `distribute-neg-frac_binary64_18797` `distribute-frac-neg_binary64_18796` `distribute-rgt1-in_binary64_18789` `distribute-lft1-in_binary64_18788` `distribute-lft-out--_binary64_18785` `count-2_binary64_18781` `associate-/l/_binary64_18780` `associate-/r/_binary64_18779` `associate-/l_binary64_18778` `associate-/r_binary64_18777` `associate-l/_binary64_18776` `associate-*r/_binary64_18775`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	133
1	100	133
2	340	133
3	1092	133
4	1815	133
5	2718	133
6	2801	133
7	2681	133
8	2683	133
9	2683	133
10	2985	133
11	3052	133
12	3052	133
13	3612	133
14	3124	133
15	3124	133
16	3124	133
17	3124	133
18	3124	133
19	2950	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	99×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

182×	`cancel-sign-sub-inv_binary64_18799`
160×	`associate-l_binary64_18774`
154×	`distribute-rgt-in_binary64_18783`
127×	`associate-r_binary64_18773`
113×	`unsub-neg_binary64_18827`
108×	`distribute-rgt-neg-in_binary64_18791`
83×	`distribute-lft-in_binary64_18782`
81×	`distribute-lft-neg-in_binary64_18790`
70×	`distribute-lft-neg-out_binary64_18792`
69×	`associate--r+_binary64_18769`
68×	`distribute-rgt-neg-out_binary64_18793`
65×	`sub-neg_binary64_18826`
60×	`*-commutative_binary64_18764`
54×	`distribute-neg-in_binary64_18794`
52×	`neg-sub0_binary64_18828`
39×	`neg-mul-1_binary64_18829`
30×	`mul0-rgt_binary64_18816`
29×	`mul0-lft_binary64_18815`
24×	`associate-+l-_binary64_18768`
21×	`+-commutative_binary64_18763`
20×	`remove-double-neg_binary64_18821` `associate--r-_binary64_18772`
14×	`associate--l+_binary64_18770`
11×	`associate-+r+_binary64_18765`
9×	`*-lft-identity_binary64_18822`
7×	`sub0-neg_binary64_18820` `distribute-rgt-out_binary64_18786` `distribute-lft-out_binary64_18784` `associate-+l+_binary64_18766`
6×	`*-rgt-identity_binary64_18823` `distribute-rgt-out--_binary64_18787`
5×	`associate-+r-_binary64_18767`
3×	`distribute-neg-out_binary64_18795`
2×	`mul-1-neg_binary64_18825` `+-rgt-identity_binary64_18818` `distribute-lft-out--_binary64_18785` `associate--l-_binary64_18771`
1×	`1-exp_binary64_18877` `--rgt-identity_binary64_18819` `swap-sqr_binary64_18800` `cancel-sign-sub_binary64_18798`
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` `times-frac_binary64_18839` `div-sub_binary64_18838` `/-rgt-identity_binary64_18824` `+-lft-identity_binary64_18817` `div0_binary64_18814` `-inverses_binary64_18813` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `remove-double-div_binary64_18809` `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` `distribute-neg-frac_binary64_18797` `distribute-frac-neg_binary64_18796` `distribute-rgt1-in_binary64_18789` `distribute-lft1-in_binary64_18788` `count-2_binary64_18781` `associate-/l/_binary64_18780` `associate-/r/_binary64_18779` `associate-/l_binary64_18778` `associate-/r_binary64_18777` `associate-l/_binary64_18776` `associate-*r/_binary64_18775`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19

prune2.0ms (0%)

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

6.3b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
5.9b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite64.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

9×	`cancel-sign-sub-inv_binary64_18799`
8×	`add-sqr-sqrt_binary64_18855`
7×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
6×	`add-cube-cbrt_binary64_18868` `*-un-lft-identity_binary64_18833`
4×	`add-log-exp_binary64_18872` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782` `associate-r_binary64_18773`
3×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `sub-neg_binary64_18826`
2×	`flip3--_binary64_18837` `associate-*r/_binary64_18775` `flip--_binary64_18808` `difference-of-squares_binary64_18802`
1×	`associate-l_binary64_18774` `*-commutative_binary64_18764` `diff-log_binary64_18925`

Counts

2 → 44

Calls

2 calls:

10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 920 to 342 computations (62.8% saved)

series389.0ms (4.4%)

Error

4.7b

Counts

2 → 27

Calls

2 calls:

272.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
96.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 915 to 714 computations (22% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

535×	`neg-mul-1_binary64_18829`
531×	`neg-sub0_binary64_18828`
333×	`*-commutative_binary64_18764`
298×	`exp-prod_binary64_18885`
260×	`distribute-rgt-neg-out_binary64_18793`
254×	`distribute-lft-neg-out_binary64_18792`
230×	`distribute-rgt-in_binary64_18783`
217×	`distribute-lft-in_binary64_18782`
175×	`associate-l_binary64_18774`
150×	`unsub-neg_binary64_18827`
142×	`+-commutative_binary64_18763`
134×	`associate-r_binary64_18773`
92×	`exp-sum_binary64_18879`
77×	`unswap-sqr_binary64_18801`
73×	`sqr-pow_binary64_18805`
61×	`associate-+r+_binary64_18765`
58×	`cancel-sign-sub-inv_binary64_18799`
57×	`associate-+l+_binary64_18766`
50×	`exp-diff_binary64_18881`
47×	`exp-neg_binary64_18880` `distribute-lft-neg-in_binary64_18790`
46×	`distribute-rgt-neg-in_binary64_18791`
45×	`sub-neg_binary64_18826`
43×	`div-sub_binary64_18838`
35×	`cube-prod_binary64_18861`
34×	`*-lft-identity_binary64_18822`
30×	`*-rgt-identity_binary64_18823` `swap-sqr_binary64_18800`
25×	`log-prod_binary64_18919`
22×	`times-frac_binary64_18839`
21×	`associate-/l*_binary64_18778`
20×	`difference-of-squares_binary64_18802`
15×	`mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `pow-sqr_binary64_18806` `distribute-rgt-out_binary64_18786`
13×	`associate-+l-_binary64_18768`
11×	`unpow3_binary64_18899`
10×	`cube-unmult_binary64_18870` `distribute-rgt-out--_binary64_18787` `associate-+r-_binary64_18767`
8×	`sqr-neg_binary64_18847`
7×	`rem-sqrt-square_binary64_18846`
6×	`cube-mult_binary64_18863` `sub0-neg_binary64_18820` `+-rgt-identity_binary64_18818`
5×	`pow-plus_binary64_18896`
4×	`unpow2_binary64_18898` `cube-neg_binary64_18860` `associate--r+_binary64_18769`
3×	`unpow1/2_binary64_18897` `associate-/l/_binary64_18780` `associate-*r/_binary64_18775`
2×	`unpow1_binary64_18891` `prod-exp_binary64_18882` `distribute-neg-in_binary64_18794` `distribute-lft-out--_binary64_18785` `distribute-lft-out_binary64_18784` `associate-/r/_binary64_18779` `associate-/r*_binary64_18777`
1×	`div-exp_binary64_18884` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `rem-3cbrt-lft_binary64_18858` `rem-square-sqrt_binary64_18845` `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` `log-pow_binary64_18922` `log-rec_binary64_18921` `log-div_binary64_18920` `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` `e-exp-1_binary64_18878` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-div_binary64_18862` `rem-3cbrt-rft_binary64_18859` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `mul-1-neg_binary64_18825` `/-rgt-identity_binary64_18824` `remove-double-neg_binary64_18821` `--rgt-identity_binary64_18819` `+-lft-identity_binary64_18817` `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_18804` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-neg-frac_binary64_18797` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `distribute-rgt1-in_binary64_18789` `distribute-lft1-in_binary64_18788` `associate-l/_binary64_18776` `associate--r-_binary64_18772` `associate--l-_binary64_18771` `associate--l+_binary64_18770`

Counts

71 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	939
1	271	828
2	860	828
3	1907	828
4	3866	828
5	5216	828

prune53.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Error

4.6b

Counts

57 → 5

Compiler

Compiled 944 to 394 computations (58.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.2b	(cbrt.f64 (.f64 y (.f64 4 (-.f64 (*.f64 z z) t))))
5.9b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
5.9b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
5.9b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

rewrite276.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

48×	`distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782`
36×	`cancel-sign-sub-inv_binary64_18799`
19×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
16×	`associate-*r/_binary64_18775`
12×	`sub-neg_binary64_18826`
9×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `associate-l_binary64_18774`
4×	`add-log-exp_binary64_18872` `flip3--_binary64_18837` `flip--_binary64_18808`
3×	`associate-r_binary64_18773` `*-commutative_binary64_18764`
2×	`cbrt-div_binary64_18865`
1×	`pow1/3_binary64_18915` `cbrt-prod_binary64_18864`

Counts

4 → 119

Calls

4 calls:

11.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
11.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
10.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
8.0ms	(cbrt.f64 (.f64 y (.f64 4 (-.f64 (*.f64 z z) t))))

Compiler

Compiled 5279 to 2288 computations (56.7% saved)

series1.5s (17.4%)

Error

4.6b

Counts

4 → 61

Calls

4 calls:

595.0ms	(cbrt.f64 (.f64 y (.f64 4 (-.f64 (*.f64 z z) t))))
294.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
273.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
264.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

Compiler

Compiled 6619 to 4323 computations (34.7% saved)

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

364×	`times-frac_binary64_18839`
356×	`distribute-rgt-in_binary64_18783`
347×	`distribute-lft-in_binary64_18782`
209×	`associate-/l*_binary64_18778`
194×	`associate-r_binary64_18773`
179×	`exp-prod_binary64_18885`
159×	`associate-l_binary64_18774`
145×	`*-commutative_binary64_18764`
108×	`distribute-rgt-neg-in_binary64_18791`
105×	`distribute-lft-neg-in_binary64_18790`
83×	`associate-/r/_binary64_18779`
76×	`cancel-sign-sub-inv_binary64_18799`
75×	`distribute-rgt-neg-out_binary64_18793`
72×	`distribute-lft-neg-out_binary64_18792`
61×	`sub-neg_binary64_18826`
59×	`sqr-pow_binary64_18805`
53×	`neg-sub0_binary64_18828`
50×	`neg-mul-1_binary64_18829`
46×	`distribute-neg-frac_binary64_18797`
43×	`unswap-sqr_binary64_18801`
37×	`exp-sum_binary64_18879`
30×	`+-commutative_binary64_18763`
23×	`log-prod_binary64_18919`
20×	`associate-/r*_binary64_18777`
18×	`associate-*r/_binary64_18775`
16×	`unsub-neg_binary64_18827` `swap-sqr_binary64_18800`
14×	`unpow1/3_binary64_18900`
11×	`exp-to-pow_binary64_18895`
10×	`cube-prod_binary64_18861` `associate-*l/_binary64_18776`
9×	`exp-diff_binary64_18881` `div-sub_binary64_18838` `pow-sqr_binary64_18806` `distribute-neg-out_binary64_18795`
8×	`unpow3_binary64_18899` `cube-unmult_binary64_18870` `distribute-neg-in_binary64_18794`
7×	`pow-plus_binary64_18896` `distribute-lft-out_binary64_18784`
6×	`log-pow_binary64_18922` `log-div_binary64_18920` `difference-of-squares_binary64_18802` `distribute-rgt-out_binary64_18786`
5×	`remove-double-neg_binary64_18821` `distribute-lft-out--_binary64_18785` `associate-+l+_binary64_18766`
4×	`exp-lft-sqr_binary64_18888` `associate--r-_binary64_18772` `associate-+r+_binary64_18765`
3×	`log-rec_binary64_18921` `unpow2_binary64_18898`
2×	`unpow1/2_binary64_18897` `unpow1_binary64_18891` `cube-mult_binary64_18863` `rem-3cbrt-lft_binary64_18858` `mul-1-neg_binary64_18825` `distribute-frac-neg_binary64_18796` `distribute-rgt-out--_binary64_18787` `associate--l+_binary64_18770` `associate--r+_binary64_18769`
1×	`1-exp_binary64_18877` `rem-sqrt-square_binary64_18846` `rem-square-sqrt_binary64_18845` `+-rgt-identity_binary64_18818` `cancel-sign-sub_binary64_18798` `associate-+r-_binary64_18767`
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` `pow-base-1_binary64_18893` `unpow0_binary64_18892` `unpow-1_binary64_18890` `exp-lft-cube_binary64_18889` `exp-cbrt_binary64_18887` `exp-sqrt_binary64_18886` `div-exp_binary64_18884` `rec-exp_binary64_18883` `prod-exp_binary64_18882` `exp-neg_binary64_18880` `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-div_binary64_18862` `cube-neg_binary64_18860` `rem-3cbrt-rft_binary64_18859` `rem-cbrt-cube_binary64_18857` `rem-cube-cbrt_binary64_18856` `sqr-abs_binary64_18848` `sqr-neg_binary64_18847` `/-rgt-identity_binary64_18824` `-rgt-identity_binary64_18823` `-lft-identity_binary64_18822` `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_18813` `+-inverses_binary64_18812` `lft-mult-inverse_binary64_18811` `rgt-mult-inverse_binary64_18810` `remove-double-div_binary64_18809` `difference-of-sqr--1_binary64_18804` `difference-of-sqr-1_binary64_18803` `distribute-rgt1-in_binary64_18789` `distribute-lft1-in_binary64_18788` `count-2_binary64_18781` `associate-/l/_binary64_18780` `associate--l-_binary64_18771` `associate-+l-_binary64_18768`

Counts

180 → 142

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	3231
1	533	2985
2	1531	2953
3	4919	2917
4	5100	2917

prune259.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	141	6	147

Error

4.6b

Counts

147 → 6

Compiler

Compiled 5707 to 2578 computations (54.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 -4 (*.f64 y t)))
0.0b	(.f64 -4 (.f64 y t))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

7×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
4×	`add-log-exp_binary64_18872`
3×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `add-cube-cbrt_binary64_18868` `cbrt-unprod_binary64_18866` `add-sqr-sqrt_binary64_18855` `-un-lft-identity_binary64_18833` `associate-l*_binary64_18774`
1×	`associate-r_binary64_18773` `*-commutative_binary64_18764` `diff-log_binary64_18925` `flip3--_binary64_18837` `sub-neg_binary64_18826` `flip--_binary64_18808` `cancel-sign-sub-inv_binary64_18799`

Counts

2 → 30

Calls

2 calls:

5.0ms	(.f64 -4 (.f64 y t))
4.0ms	(-.f64 (.f64 x x) (.f64 -4 (*.f64 y t)))

Compiler

Compiled 487 to 230 computations (52.8% saved)

series299.0ms (3.4%)

Error

4.6b

Counts

2 → 24

Calls

2 calls:

205.0ms	(-.f64 (.f64 x x) (.f64 -4 (*.f64 y t)))
80.0ms	(.f64 -4 (.f64 y t))

Compiler

Compiled 479 to 434 computations (9.4% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-l_binary64_18774`
496×	`distribute-rgt-neg-in_binary64_18791`
486×	`distribute-lft-neg-in_binary64_18790`
476×	`unsub-neg_binary64_18827`
451×	`associate-r_binary64_18773`
320×	`cancel-sign-sub-inv_binary64_18799`
269×	`neg-sub0_binary64_18828`
267×	`distribute-rgt-in_binary64_18783`
264×	`neg-mul-1_binary64_18829`
231×	`distribute-lft-in_binary64_18782`
134×	`times-frac_binary64_18839`
131×	`*-commutative_binary64_18764`
102×	`distribute-lft-neg-out_binary64_18792`
81×	`distribute-rgt-neg-out_binary64_18793`
74×	`exp-prod_binary64_18885`
73×	`unswap-sqr_binary64_18801`
64×	`sqr-pow_binary64_18805`
55×	`distribute-rgt-out_binary64_18786`
36×	`associate-+r+_binary64_18765`
30×	`sub-neg_binary64_18826`
29×	`associate-+l+_binary64_18766`
26×	`swap-sqr_binary64_18800`
25×	`+-commutative_binary64_18763`
20×	`exp-sum_binary64_18879` `cube-prod_binary64_18861`
16×	`distribute-lft-out_binary64_18784`
15×	`exp-diff_binary64_18881`
14×	`cube-unmult_binary64_18870` `difference-of-squares_binary64_18802`
13×	`associate-/r*_binary64_18777`
12×	`unpow3_binary64_18899` `associate-/l*_binary64_18778`
10×	`log-prod_binary64_18919`
9×	`sqr-neg_binary64_18847` `pow-sqr_binary64_18806`
8×	`pow-plus_binary64_18896`
7×	`associate-*r/_binary64_18775`
6×	`distribute-neg-in_binary64_18794` `associate-+r-_binary64_18767`
5×	`div-sub_binary64_18838` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815` `associate-/l/_binary64_18780` `associate-+l-_binary64_18768`
4×	`cube-mult_binary64_18863` `associate-/r/_binary64_18779`
3×	`mul-1-neg_binary64_18825` `sub0-neg_binary64_18820` `+-rgt-identity_binary64_18818` `associate--r+_binary64_18769`
2×	`unpow2_binary64_18898` `associate-*l/_binary64_18776`
1×	`unpow1/2_binary64_18897` `unpow1_binary64_18891` `div-exp_binary64_18884` `prod-exp_binary64_18882` `1-exp_binary64_18877` `cube-neg_binary64_18860` `rem-sqrt-square_binary64_18846`
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` `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-1-e_binary64_18876` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-div_binary64_18862` `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` `/-rgt-identity_binary64_18824` `-rgt-identity_binary64_18823` `-lft-identity_binary64_18822` `remove-double-neg_binary64_18821` `--rgt-identity_binary64_18819` `+-lft-identity_binary64_18817` `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_18804` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-neg-frac_binary64_18797` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `distribute-rgt1-in_binary64_18789` `distribute-lft1-in_binary64_18788` `distribute-rgt-out--_binary64_18787` `distribute-lft-out--_binary64_18785` `count-2_binary64_18781` `associate--r-_binary64_18772` `associate--l-_binary64_18771` `associate--l+_binary64_18770`

Counts

54 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	636
1	168	594
2	542	594
3	1901	594
4	4090	594
5	5056	594

prune47.0ms (0.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	35	13	48

Error

4.6b

Counts

48 → 13

Compiler

Compiled 677 to 377 computations (44.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 (cbrt.f64 -4) (cbrt.f64 -4)) (.f64 (*.f64 t y) (cbrt.f64 -4))))
0.2b	(.f64 (.f64 (cbrt.f64 -4) (cbrt.f64 -4)) (.f64 (.f64 t y) (cbrt.f64 -4)))
0.4b	(.f64 (.f64 t y) (cbrt.f64 -4))
1.0b	(*.f64 (cbrt.f64 -4) (cbrt.f64 -4))

rewrite187.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

37×	`pow1_binary64_18894`
32×	`add-exp-log_binary64_18871`
22×	`add-sqr-sqrt_binary64_18855`
20×	`pow-prod-down_binary64_18904`
19×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `cbrt-prod_binary64_18864`
18×	`add-cbrt-cube_binary64_18869`
14×	`add-cube-cbrt_binary64_18868` `*-un-lft-identity_binary64_18833`
13×	`associate-r_binary64_18773`
8×	`associate-l_binary64_18774`
6×	`pow1/3_binary64_18915` `add-log-exp_binary64_18872` `swap-sqr_binary64_18800`
4×	`unswap-sqr_binary64_18801`
3×	`*-commutative_binary64_18764`
2×	`pow-prod-up_binary64_18903` `pow-sqr_binary64_18806`
1×	`pow2_binary64_18914` `pow-plus_binary64_18896` `diff-log_binary64_18925` `flip3--_binary64_18837` `sub-neg_binary64_18826` `flip--_binary64_18808` `cancel-sign-sub-inv_binary64_18799`

Counts

4 → 101

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 -4) (cbrt.f64 -4)) (.f64 (.f64 t y) (cbrt.f64 -4)))
7.0ms	(*.f64 (cbrt.f64 -4) (cbrt.f64 -4))
7.0ms	(.f64 (.f64 t y) (cbrt.f64 -4))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 (cbrt.f64 -4) (cbrt.f64 -4)) (.f64 (*.f64 t y) (cbrt.f64 -4))))

Compiler

Compiled 2345 to 1597 computations (31.9% saved)

series891.0ms (10.1%)

Error

4.6b

Counts

4 → 30

Calls

4 calls:

484.0ms	(-.f64 (.f64 x x) (.f64 (.f64 (cbrt.f64 -4) (cbrt.f64 -4)) (.f64 (*.f64 t y) (cbrt.f64 -4))))
236.0ms	(.f64 (.f64 (cbrt.f64 -4) (cbrt.f64 -4)) (.f64 (.f64 t y) (cbrt.f64 -4)))
149.0ms	(.f64 (.f64 t y) (cbrt.f64 -4))
0.0ms	(*.f64 (cbrt.f64 -4) (cbrt.f64 -4))

Compiler

Compiled 952 to 896 computations (5.9% saved)

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-rgt-neg-in_binary64_18791`
631×	`distribute-lft-neg-in_binary64_18790`
430×	`*-commutative_binary64_18764`
390×	`exp-prod_binary64_18885`
328×	`cancel-sign-sub-inv_binary64_18799`
244×	`associate-l_binary64_18774`
228×	`associate-r_binary64_18773`
218×	`distribute-rgt-in_binary64_18783`
175×	`sqr-pow_binary64_18805`
169×	`unswap-sqr_binary64_18801`
128×	`log-prod_binary64_18919`
124×	`swap-sqr_binary64_18800`
113×	`neg-sub0_binary64_18828`
111×	`neg-mul-1_binary64_18829`
86×	`cube-prod_binary64_18861`
55×	`distribute-rgt-out_binary64_18786`
45×	`associate-+l+_binary64_18766`
43×	`associate-+r+_binary64_18765`
40×	`distribute-lft-in_binary64_18782`
36×	`sub-neg_binary64_18826`
33×	`+-commutative_binary64_18763`
30×	`distribute-lft-neg-out_binary64_18792`
29×	`unsub-neg_binary64_18827`
26×	`pow-sqr_binary64_18806`
23×	`unpow3_binary64_18899`
20×	`exp-sum_binary64_18879`
18×	`distribute-rgt-neg-out_binary64_18793`
17×	`cube-mult_binary64_18863` `associate-/l*_binary64_18778`
14×	`difference-of-squares_binary64_18802`
12×	`distribute-lft-out_binary64_18784`
11×	`pow-plus_binary64_18896` `exp-diff_binary64_18881`
10×	`unpow1/2_binary64_18897` `times-frac_binary64_18839` `*-rgt-identity_binary64_18823` `mul0-rgt_binary64_18816` `mul0-lft_binary64_18815`
9×	`cube-unmult_binary64_18870`
7×	`log-pow_binary64_18922` `*-lft-identity_binary64_18822`
4×	`unpow2_binary64_18898` `exp-neg_binary64_18880` `rem-sqrt-square_binary64_18846`
3×	`sub0-neg_binary64_18820` `+-rgt-identity_binary64_18818` `associate-+l-_binary64_18768` `associate-+r-_binary64_18767`
2×	`distribute-neg-in_binary64_18794` `count-2_binary64_18781`
1×	`unpow1_binary64_18891` `div-exp_binary64_18884` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `rem-3cbrt-rft_binary64_18859` `rem-3cbrt-lft_binary64_18858` `rem-cube-cbrt_binary64_18856` `sqr-neg_binary64_18847` `rem-square-sqrt_binary64_18845` `mul-1-neg_binary64_18825` `distribute-rgt1-in_binary64_18789` `distribute-lft1-in_binary64_18788` `associate-/r*_binary64_18777`
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` `log-div_binary64_18920` `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` `prod-exp_binary64_18882` `e-exp-1_binary64_18878` `exp-0_binary64_18875` `rem-log-exp_binary64_18874` `rem-exp-log_binary64_18873` `cube-div_binary64_18862` `cube-neg_binary64_18860` `rem-cbrt-cube_binary64_18857` `sqr-abs_binary64_18848` `div-sub_binary64_18838` `/-rgt-identity_binary64_18824` `remove-double-neg_binary64_18821` `--rgt-identity_binary64_18819` `+-lft-identity_binary64_18817` `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_18804` `difference-of-sqr-1_binary64_18803` `cancel-sign-sub_binary64_18798` `distribute-neg-frac_binary64_18797` `distribute-frac-neg_binary64_18796` `distribute-neg-out_binary64_18795` `distribute-rgt-out--_binary64_18787` `distribute-lft-out--_binary64_18785` `associate-/l/_binary64_18780` `associate-/r/_binary64_18779` `associate-l/_binary64_18776` `associate-*r/_binary64_18775` `associate--r-_binary64_18772` `associate--l-_binary64_18771` `associate--l+_binary64_18770` `associate--r+_binary64_18769`

Counts

131 → 100

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1969
1	307	1366
2	1106	1355
3	2393	1348
4	4847	1336
5	4909	1336

prune92.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	9	10
Picked	1	0	1
Done	0	2	2
Total	100	13	113

Error

4.6b

Counts

113 → 13

Compiler

Compiled 1434 to 890 computations (37.9% saved)

regimes1.3s (15%)

Accuracy

Total 0.9b remaining (27%)

Threshold costs 0.9b (27%)

Compiler

Compiled 11440 to 9549 computations (16.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

132×	`neg-mul-1_binary64_18829` `neg-sub0_binary64_18828`
109×	`unsub-neg_binary64_18827`
86×	`distribute-neg-out_binary64_18795`
65×	`distribute-rgt-neg-out_binary64_18793`
55×	`distribute-rgt-neg-in_binary64_18791`
54×	`remove-double-neg_binary64_18821`
51×	`distribute-lft-neg-out_binary64_18792`
29×	`distribute-lft-neg-in_binary64_18790`
25×	`sub-neg_binary64_18826`
22×	`+-commutative_binary64_18763`
21×	`*-commutative_binary64_18764`
20×	`cancel-sign-sub-inv_binary64_18799`
19×	`distribute-neg-in_binary64_18794`
12×	`+-lft-identity_binary64_18817`
11×	`+-rgt-identity_binary64_18818`
2×	`sqr-neg_binary64_18847`
1×	`--rgt-identity_binary64_18819`
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` `1-exp_binary64_18877` `exp-1-e_binary64_18876` `exp-0_binary64_18875` `sqr-abs_binary64_18848` `mul-1-neg_binary64_18825` `/-rgt-identity_binary64_18824` `-rgt-identity_binary64_18823` `-lft-identity_binary64_18822` `sub0-neg_binary64_18820` `cancel-sign-sub_binary64_18798` `distribute-neg-frac_binary64_18797` `distribute-frac-neg_binary64_18796`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	54
1	45	54
2	75	54
3	111	54
4	147	54
5	183	54
6	193	54
7	305	54
8	450	54
9	360	54
10	365	54
11	367	54
12	372	54
13	377	54
14	380	54
15	381	54
16	372	54

end0.0ms (0%)

sample1.8s (19.9%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
112.0ms	2941×	body	128	invalid

Compiler

Compiled 1061 to 882 computations (16.9% saved)

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19

Iter	Nodes	Cost
0	25	54
1	45	54
2	75	54
3	111	54
4	147	54
5	183	54
6	193	54
7	305	54
8	450	54
9	360	54
10	365	54
11	367	54
12	372	54
13	377	54
14	380	54
15	381	54
16	372	54

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19

Iter	Nodes	Cost
0	25	54
1	45	54
2	75	54
3	111	54
4	147	54
5	183	54
6	193	54
7	305	54
8	450	54
9	360	54
10	365	54
11	367	54
12	372	54
13	377	54
14	380	54
15	381	54
16	372	54

Details

analyze1.1s (12.3%)

sample28.0ms (0.3%)

simplify51.0ms (0.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite64.0ms (0.7%)

series389.0ms (4.4%)

simplify76.0ms (0.9%)

prune53.0ms (0.6%)

localize16.0ms (0.2%)

rewrite276.0ms (3.1%)

series1.5s (17.4%)

simplify128.0ms (1.4%)

prune259.0ms (2.9%)

localize6.0ms (0.1%)

rewrite37.0ms (0.4%)

series299.0ms (3.4%)

simplify72.0ms (0.8%)

prune47.0ms (0.5%)

localize12.0ms (0.1%)

rewrite187.0ms (2.1%)

series891.0ms (10.1%)

simplify112.0ms (1.3%)

prune92.0ms (1%)

regimes1.3s (15%)

bsearch2.0ms (0%)

simplify19.0ms (0.2%)

end0.0ms (0%)

sample1.8s (19.9%)

Profiling

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19

Iter	Nodes	Cost
0	25	54
1	45	54
2	75	54
3	111	54
4	147	54
5	183	54
6	193	54
7	305	54
8	450	54
9	360	54
10	365	54
11	367	54
12	372	54
13	377	54
14	380	54
15	381	54
16	372	54