Details

Time bar (total: 8.1s)

analyze1.2s (15.2%)

Algorithm
search
egg-herbie
Rules
895×sub-neg_binary64
471×div-sub_binary64
349×unsub-neg_binary64
310×associate-/l*_binary64
307×neg-mul-1_binary64
248×neg-sub0_binary64
232×sqr-pow_binary64
228×distribute-rgt-neg-in_binary64
223×associate-/r*_binary64
211×cancel-sign-sub-inv_binary64 associate-+l-_binary64
200×distribute-lft-neg-in_binary64 associate-/l/_binary64
198×associate-*l/_binary64
195×associate-/r/_binary64
178×distribute-neg-in_binary64
175×times-frac_binary64
171×+-commutative_binary64
119×distribute-neg-frac_binary64 distribute-rgt-in_binary64
112×pow-sqr_binary64
94×*-commutative_binary64
93×associate--l+_binary64
89×associate--r+_binary64
85×distribute-lft-neg-out_binary64
81×sub0-neg_binary64
78×distribute-frac-neg_binary64 distribute-lft-in_binary64
71×distribute-rgt-neg-out_binary64
68×associate--r-_binary64
64×rem-sqrt-square_binary64
63×associate-+r-_binary64 associate-+r+_binary64
48×log-prod_binary64 associate-*r*_binary64
45×distribute-rgt-out--_binary64 associate-+l+_binary64
44×associate--l-_binary64
43×cancel-sign-sub_binary64
40×*-lft-identity_binary64 div0_binary64 difference-of-sqr--1_binary64
38×remove-double-neg_binary64
35×--rgt-identity_binary64
34×distribute-rgt1-in_binary64
32×exp-prod_binary64 difference-of-sqr-1_binary64 swap-sqr_binary64
24×mul0-rgt_binary64 mul0-lft_binary64
23×*-rgt-identity_binary64
18×+-lft-identity_binary64
16×exp-diff_binary64 exp-sum_binary64 sqr-neg_binary64 /-rgt-identity_binary64 +-rgt-identity_binary64
13×associate-*r/_binary64
12×distribute-rgt-out_binary64 associate-*l*_binary64
unpow1/2_binary64
distribute-neg-out_binary64 distribute-lft-out--_binary64
1-exp_binary64 exp-1-e_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-squares_binary64 unswap-sqr_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046140
194140
2223140
3397140
4788140
51435140
61769140
72227140
83363140
93984140
104592140
114965140
044
144
Search
TrueOtherFalseIter
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
1.6%98.2%0.2%9
2.3%97.5%0.2%10
11.7%88.1%0.2%11
13.1%74.3%12.7%12
16.1%70.5%13.5%13
18.6%68%13.5%14
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample74.0ms (0.9%)

Algorithm
intervals
Results
19.0ms44×body1024valid
11.0ms47×body512valid
11.0ms145×body128valid
3.0ms18×body256valid
2.0ms46×body128nan
2.0msbody1024nan
2.0msbody2048valid
1.0ms23×body128overflowed
1.0msbody512nan
1.0msbody256nan
0.0msbody128invalid
Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify306.0ms (3.8%)

Algorithm
egg-herbie
Rules
2361×associate--r-_binary64
653×div-sub_binary64
609×unsub-neg_binary64
473×sub-neg_binary64
424×distribute-rgt-in_binary64
405×distribute-lft-in_binary64
352×distribute-neg-in_binary64
267×associate-/r/_binary64
250×associate-/l*_binary64
214×*-commutative_binary64
173×distribute-rgt-out--_binary64
172×associate-+r+_binary64
170×distribute-lft-neg-in_binary64
158×cancel-sign-sub-inv_binary64
155×distribute-rgt-neg-in_binary64
153×+-commutative_binary64
138×associate-/r*_binary64
129×associate-+l+_binary64
122×associate--r+_binary64
113×neg-mul-1_binary64
104×neg-sub0_binary64
89×distribute-neg-frac_binary64
84×distribute-lft-neg-out_binary64
79×associate--l+_binary64
71×associate-+l-_binary64
60×associate-/l/_binary64
54×distribute-rgt-neg-out_binary64 associate-*r*_binary64
53×distribute-neg-out_binary64 associate-*l/_binary64
50×mul0-rgt_binary64 mul0-lft_binary64
44×cancel-sign-sub_binary64
38×distribute-rgt-out_binary64
34×associate-+r-_binary64
32×*-rgt-identity_binary64 associate-*l*_binary64
31×*-lft-identity_binary64
27×distribute-frac-neg_binary64
22×associate-*r/_binary64
20×associate--l-_binary64
19×remove-double-neg_binary64
18×--rgt-identity_binary64 distribute-rgt1-in_binary64
17×sub0-neg_binary64
15×+-lft-identity_binary64
11×distribute-lft-out--_binary64
distribute-lft-out_binary64
log-prod_binary64 /-rgt-identity_binary64 div0_binary64
count-2_binary64
+-rgt-identity_binary64 distribute-lft1-in_binary64
1-exp_binary64 mul-1-neg_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
12320
24620
37820
415420
526220
632720
733520
839120
952720
10124820
11131620
12179820
13251920
14286620
15301020
16290820
17290420
18291620
19292820
20293220
21286820
22286820
23286820
24353420
25295820
26295820
27295820
28525420

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
22.1b
Counts
1 → 1
Compiler

Compiled 13 to 12 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 y (exp.f64 z))
0.0b
(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
2.4b
(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
2.6b
(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite150.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
13.2b
Rules
19×add-sqr-sqrt_binary64
17×add-cube-cbrt_binary64 *-un-lft-identity_binary64
12×times-frac_binary64
11×pow1_binary64
add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
log-pow_binary64
associate-+l+_binary64 log-div_binary64 associate-/l*_binary64
flip3-+_binary64 flip-+_binary64 cancel-sign-sub-inv_binary64 log-prod_binary64 associate-/r*_binary64 associate-*l*_binary64 associate-*r*_binary64
sum-log_binary64 div-sub_binary64
diff-log_binary64 associate-+l-_binary64 sub-neg_binary64 +-commutative_binary64 rem-log-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 82
Calls

4 calls:

8.0ms
(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms
(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
6.0ms
(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms
(*.f64 y (exp.f64 z))
Compiler

Compiled 1679 to 838 computations (50.1% saved)

series172.0ms (2.1%)

Error
0.3b
Counts
4 → 39
Calls

4 calls:

80.0ms
(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
32.0ms
(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
22.0ms
(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
15.0ms
(*.f64 y (exp.f64 z))
Compiler

Compiled 1768 to 1389 computations (21.4% saved)

simplify116.0ms (1.4%)

Algorithm
egg-herbie
Rules
343×associate-/l*_binary64
299×distribute-rgt-in_binary64
249×distribute-lft-in_binary64
224×associate--r+_binary64
205×cancel-sign-sub-inv_binary64
183×associate-+l+_binary64
153×associate-/r*_binary64
137×sub-neg_binary64
133×associate--l+_binary64
104×associate-/r/_binary64
100×associate-*r*_binary64
97×exp-prod_binary64
93×div-sub_binary64
91×distribute-rgt-neg-in_binary64
87×associate-*l*_binary64
73×distribute-lft-neg-in_binary64
71×+-commutative_binary64
67×distribute-neg-in_binary64 *-commutative_binary64
65×exp-sum_binary64
62×associate-/l/_binary64
52×neg-mul-1_binary64 neg-sub0_binary64
50×unswap-sqr_binary64
49×associate-*l/_binary64 associate-+l-_binary64
47×log-prod_binary64
44×associate-+r-_binary64
43×distribute-rgt-out_binary64
36×cube-prod_binary64
31×sqr-pow_binary64
29×unsub-neg_binary64 associate-*r/_binary64
26×distribute-neg-frac_binary64
25×distribute-rgt-out--_binary64
24×exp-diff_binary64 distribute-lft-neg-out_binary64 associate-+r+_binary64
23×times-frac_binary64
20×*-rgt-identity_binary64 associate--r-_binary64
17×distribute-lft-out_binary64
15×*-lft-identity_binary64
14×log-div_binary64
12×prod-exp_binary64 distribute-rgt-neg-out_binary64 associate--l-_binary64
10×distribute-rgt1-in_binary64
distribute-lft-out--_binary64
unpow3_binary64 cube-unmult_binary64 /-rgt-identity_binary64 swap-sqr_binary64
log-pow_binary64
pow-plus_binary64 rem-sqrt-square_binary64 distribute-lft1-in_binary64
unpow1/2_binary64 cube-mult_binary64
unpow2_binary64 unpow1_binary64 div-exp_binary64 mul-1-neg_binary64 remove-double-neg_binary64 count-2_binary64
cube-div_binary64 sqr-neg_binary64 +-rgt-identity_binary64 distribute-frac-neg_binary64
log-rec_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 distribute-neg-out_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64
Counts
121 → 89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02252494
15182347
214692307
346732307
450732307

prune89.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New84589
Fresh000
Picked011
Done000
Total84690
Error
0.0b
Counts
90 → 6
Compiler

Compiled 1551 to 812 computations (47.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 (/.f64 y t) z))
4.6b
(*.f64 (/.f64 y t) z)

rewrite68.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
15×add-sqr-sqrt_binary64
13×associate-*l*_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 add-log-exp_binary64
associate-*r*_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*l/_binary64 div-inv_binary64 *-commutative_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
Counts
2 → 44
Calls

2 calls:

6.0ms
(*.f64 (/.f64 y t) z)
3.0ms
(-.f64 x (*.f64 (/.f64 y t) z))
Compiler

Compiled 606 to 185 computations (69.5% saved)

series70.0ms (0.9%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

44.0ms
(-.f64 x (*.f64 (/.f64 y t) z))
23.0ms
(*.f64 (/.f64 y t) z)
Compiler

Compiled 357 to 375 computations (-5% saved)

simplify77.0ms (1%)

Algorithm
egg-herbie
Rules
319×associate-*l*_binary64
317×distribute-rgt-neg-in_binary64
297×distribute-lft-neg-in_binary64
296×associate-/r*_binary64
271×associate-/l/_binary64
259×associate-/r/_binary64
251×associate-*l/_binary64
239×distribute-rgt-in_binary64
238×associate-*r*_binary64
223×neg-sub0_binary64 distribute-neg-frac_binary64
221×neg-mul-1_binary64
198×distribute-lft-in_binary64
192×associate-*r/_binary64
181×cancel-sign-sub-inv_binary64
173×div-sub_binary64
166×associate-/l*_binary64
79×*-commutative_binary64
67×distribute-rgt-neg-out_binary64
66×exp-prod_binary64
62×distribute-lft-neg-out_binary64
51×times-frac_binary64
48×sqr-pow_binary64
46×sub-neg_binary64
32×unswap-sqr_binary64
28×cube-prod_binary64
27×*-rgt-identity_binary64 *-lft-identity_binary64 swap-sqr_binary64
26×log-prod_binary64 unsub-neg_binary64 distribute-rgt-out_binary64
20×log-div_binary64 cube-div_binary64
19×exp-sum_binary64
18×+-commutative_binary64
12×unpow3_binary64
10×exp-diff_binary64 difference-of-squares_binary64
cube-unmult_binary64 cube-mult_binary64 associate-+l+_binary64
/-rgt-identity_binary64 associate-+l-_binary64 associate-+r+_binary64
sqr-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out_binary64 associate-+r-_binary64
mul-1-neg_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64
log-rec_binary64 pow-sqr_binary64
unpow1/2_binary64 sub0-neg_binary64
rem-sqrt-square_binary64 div0_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 remove-double-neg_binary64 count-2_binary64 associate--r+_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 --rgt-identity_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
77 → 42
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096784
1220760
2596760
32044760
44491760
55034760

prune47.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New38442
Fresh044
Picked011
Done011
Total381048
Error
0.0b
Counts
48 → 10
Compiler

Compiled 574 to 230 computations (59.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
2.4b
(*.f64 z (/.f64 (cbrt.f64 y) t))
2.7b
(*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 z (/.f64 (cbrt.f64 y) t)))

rewrite181.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
66×add-exp-log_binary64
35×add-cbrt-cube_binary64
33×prod-exp_binary64
30×add-sqr-sqrt_binary64
23×times-frac_binary64 associate-*r*_binary64
22×add-cube-cbrt_binary64 *-un-lft-identity_binary64
20×cbrt-unprod_binary64
18×div-exp_binary64
16×cbrt-prod_binary64
11×pow1_binary64
10×cbrt-undiv_binary64 associate-*l*_binary64
1-exp_binary64
pow-prod-down_binary64 add-log-exp_binary64 associate-*r/_binary64
unswap-sqr_binary64
div-inv_binary64 *-commutative_binary64 pow1/3_binary64
frac-times_binary64 associate-*l/_binary64
Counts
4 → 109
Calls

4 calls:

12.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 z (/.f64 (cbrt.f64 y) t)))
9.0ms
(*.f64 z (/.f64 (cbrt.f64 y) t))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 2502 to 785 computations (68.6% saved)

series136.0ms (1.7%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

62.0ms
(*.f64 z (/.f64 (cbrt.f64 y) t))
31.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 z (/.f64 (cbrt.f64 y) t)))
17.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
Compiler

Compiled 818 to 671 computations (18% saved)

simplify121.0ms (1.5%)

Algorithm
egg-herbie
Rules
428×*-commutative_binary64
378×associate-/r*_binary64
358×log-prod_binary64
330×log-div_binary64
318×associate-/l/_binary64
239×associate-*l*_binary64
236×associate-*r*_binary64
229×cube-div_binary64
224×associate-/r/_binary64
202×sub-neg_binary64
194×cube-prod_binary64
131×exp-prod_binary64
117×associate-/l*_binary64
102×associate-+l+_binary64
90×associate-+r+_binary64
87×associate-*r/_binary64
86×associate-*l/_binary64
84×associate-+l-_binary64
68×times-frac_binary64
66×associate--l+_binary64
63×neg-mul-1_binary64
62×neg-sub0_binary64
56×associate--r+_binary64
48×associate--l-_binary64
47×unswap-sqr_binary64 swap-sqr_binary64
45×unsub-neg_binary64
43×associate-+r-_binary64
35×*-lft-identity_binary64
32×sqr-pow_binary64 associate--r-_binary64
31×log-rec_binary64 *-rgt-identity_binary64
30×distribute-rgt-neg-in_binary64
29×unpow3_binary64 +-commutative_binary64
26×cube-mult_binary64
24×/-rgt-identity_binary64
22×distribute-lft-neg-in_binary64
21×div-sub_binary64
17×distribute-rgt-neg-out_binary64
14×distribute-neg-frac_binary64 distribute-lft-neg-out_binary64
13×distribute-neg-in_binary64
12×log-pow_binary64 cancel-sign-sub-inv_binary64
11×cube-unmult_binary64
pow-plus_binary64 mul-1-neg_binary64
cube-neg_binary64 sqr-neg_binary64
rem-sqrt-square_binary64 sub0-neg_binary64
--rgt-identity_binary64 +-lft-identity_binary64 pow-sqr_binary64 distribute-rgt-in_binary64 count-2_binary64
exp-neg_binary64
unpow1/3_binary64 unpow1/2_binary64 distribute-frac-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64
exp-diff_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 remove-double-neg_binary64 distribute-neg-out_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
133 → 86
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01772053
13771273
216151267
337301267
448481267
549681267

prune59.0ms (0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh077
Picked011
Done022
Total861096
Error
0.0b
Counts
96 → 10
Compiler

Compiled 886 to 378 computations (57.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 y (/.f64 z t)))
4.4b
(*.f64 y (/.f64 z t))

rewrite75.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 add-log-exp_binary64
associate-*l*_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
Counts
2 → 44
Calls

2 calls:

10.0ms
(*.f64 y (/.f64 z t))
3.0ms
(-.f64 x (*.f64 y (/.f64 z t)))
Compiler

Compiled 606 to 185 computations (69.5% saved)

series68.0ms (0.8%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

44.0ms
(-.f64 x (*.f64 y (/.f64 z t)))
23.0ms
(*.f64 y (/.f64 z t))
Compiler

Compiled 357 to 375 computations (-5% saved)

simplify83.0ms (1%)

Algorithm
egg-herbie
Rules
415×associate-/l/_binary64
368×associate-/r/_binary64
351×associate-*l*_binary64
319×associate-/r*_binary64
285×associate-*r/_binary64
269×distribute-rgt-neg-in_binary64
267×associate-*l/_binary64
260×associate-*r*_binary64
247×distribute-rgt-in_binary64
244×distribute-lft-neg-in_binary64
203×neg-mul-1_binary64
201×distribute-lft-in_binary64
192×associate-/l*_binary64
191×distribute-neg-frac_binary64
190×div-sub_binary64
136×cancel-sign-sub-inv_binary64
94×times-frac_binary64 *-commutative_binary64
78×distribute-lft-neg-out_binary64
60×distribute-rgt-neg-out_binary64
47×exp-prod_binary64 neg-sub0_binary64
44×sub-neg_binary64 sqr-pow_binary64
42×*-lft-identity_binary64
36×*-rgt-identity_binary64
34×unswap-sqr_binary64
26×unsub-neg_binary64
24×cube-prod_binary64
22×log-prod_binary64
18×log-div_binary64 /-rgt-identity_binary64 +-commutative_binary64
17×exp-sum_binary64
16×swap-sqr_binary64
14×cube-div_binary64
12×distribute-rgt-out_binary64
11×unpow3_binary64 exp-diff_binary64
10×difference-of-squares_binary64 associate-+l+_binary64
associate-+r+_binary64
cube-unmult_binary64
mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-in_binary64
cube-mult_binary64 associate-+l-_binary64 associate-+r-_binary64
sqr-neg_binary64 mul-1-neg_binary64 +-rgt-identity_binary64
sub0-neg_binary64 pow-sqr_binary64 distribute-lft-out_binary64
distribute-frac-neg_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 remove-double-div_binary64 distribute-rgt-out--_binary64
log-rec_binary64 div-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 div0_binary64 count-2_binary64 associate--l+_binary64 associate--r+_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64
Counts
77 → 37
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097793
1228772
2739772
32255772
44656772
55060772

prune23.0ms (0.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New37037
Fresh066
Picked011
Done033
Total371047
Error
0.0b
Counts
47 → 10
Compiler

Compiled 318 to 96 computations (69.8% saved)

regimes2.0s (25.3%)

Accuracy

Total 8.0b remaining (96.5%)

Threshold costs 0b (0%)

Compiler

Compiled 13805 to 11242 computations (18.6% saved)

bsearch82.0ms (1%)

Steps
ItersRangePoint
7
4.6251335390767824e-147
2.8183092100460956e-145
2.4854420091974914e-145
7
-7.466495737919624
-0.059915502377951374
-0.06076380900128945
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×+-commutative_binary64
12×sub-neg_binary64 *-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
distribute-rgt-neg-in_binary64
distribute-neg-frac_binary64 distribute-lft-neg-in_binary64
cancel-sign-sub-inv_binary64
1-exp_binary64 distribute-lft-neg-out_binary64
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 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03063
14863
26863
38663
49963
510563
610763
710563

end1.0ms (0%)

Compiler

Compiled 42 to 31 computations (26.2% saved)

sample2.8s (34.2%)

Algorithm
intervals
Results
804.0ms1846×body1024valid
330.0ms1327×body512valid
283.0ms3791×body128valid
268.0ms299×body2048valid
107.0ms737×body256valid
70.0ms1530×body128nan
53.0ms185×body1024nan
51.0ms814×body128overflowed
39.0ms231×body512nan
17.0ms158×body256nan
1.0ms17×body128invalid
0.0msbody256invalid
Compiler

Compiled 262 to 209 computations (20.2% saved)

Profiling

Loading profile data...