Details

Time bar (total: 8.2s)

analyze772.0ms (9.4%)

Algorithm
search
egg-herbie
Rules
832×unsub-neg_binary64
571×neg-sub0_binary64
498×neg-mul-1_binary64
448×+-commutative_binary64
352×distribute-rgt-in_binary64
329×associate--r-_binary64
275×distribute-neg-out_binary64
265×associate--l-_binary64
258×associate-+l+_binary64
256×associate-+r+_binary64
255×distribute-lft-neg-out_binary64
242×sub-neg_binary64
238×distribute-rgt-out_binary64
236×distribute-neg-in_binary64
234×distribute-lft-in_binary64
215×distribute-rgt-neg-out_binary64
161×associate-*r*_binary64
140×distribute-rgt-neg-in_binary64
119×associate-+l-_binary64
116×associate-*l*_binary64
104×associate--r+_binary64 *-commutative_binary64
99×sub0-neg_binary64
88×--rgt-identity_binary64
80×remove-double-neg_binary64
77×distribute-rgt-out--_binary64
62×distribute-lft-neg-in_binary64
48×cancel-sign-sub-inv_binary64
40×associate-+r-_binary64
34×mul0-rgt_binary64 mul0-lft_binary64
32×mul-1-neg_binary64
28×associate--l+_binary64
24×distribute-lft-out_binary64
23×distribute-lft1-in_binary64
22×+-rgt-identity_binary64
11×distribute-rgt1-in_binary64
10×*-rgt-identity_binary64
distribute-lft-out--_binary64
*-lft-identity_binary64
1-exp_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 log-prod_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 div-sub_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991
15591
214791
347191
4128991
5203691
6390991
7459491
8519691
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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
12.5%85.6%1.9%11
19.8%76.5%3.7%12
26.1%64.4%9.6%13
31.7%54.5%13.7%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
3.0ms99×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify133.0ms (1.6%)

Algorithm
egg-herbie
Rules
683×unsub-neg_binary64
313×distribute-rgt-in_binary64
306×sub-neg_binary64
236×associate-+l+_binary64
225×distribute-neg-in_binary64
224×cancel-sign-sub-inv_binary64
204×associate-+r+_binary64
201×associate--r-_binary64
194×associate-+l-_binary64
174×distribute-neg-out_binary64
114×neg-sub0_binary64 distribute-lft-in_binary64
96×distribute-lft-neg-out_binary64
95×neg-mul-1_binary64
92×associate--r+_binary64
86×+-commutative_binary64
78×associate--l+_binary64 *-commutative_binary64
77×distribute-rgt-neg-in_binary64
71×distribute-rgt-neg-out_binary64
58×sub0-neg_binary64
56×associate-*l*_binary64
55×associate-*r*_binary64
53×distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64
50×remove-double-neg_binary64
43×associate-+r-_binary64
42×distribute-rgt-out_binary64
28×distribute-lft-out_binary64
16×*-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out--_binary64
11×+-rgt-identity_binary64
10×associate--l-_binary64
--rgt-identity_binary64
*-lft-identity_binary64 distribute-lft1-in_binary64
distribute-rgt1-in_binary64
mul-1-neg_binary64
1-exp_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 log-prod_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 div-sub_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11513
23513
39713
429113
554913
6113613
7145313
8174413
9165513
10166313
11166313
12166413
13163413
14163413
15164113
16158213

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite63.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-+r+_binary64
flip3--_binary64 flip--_binary64
associate-*l*_binary64 associate-*r*_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 sub-neg_binary64
associate-*l/_binary64 associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 57
Calls

2 calls:

10.0ms
(*.f64 (-.f64 y z) (-.f64 t x))
4.0ms
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
Compiler

Compiled 1012 to 245 computations (75.8% saved)

series128.0ms (1.6%)

Error
0.0b
Counts
2 → 48
Calls

2 calls:

64.0ms
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
46.0ms
(*.f64 (-.f64 y z) (-.f64 t x))
Compiler

Compiled 1167 to 821 computations (29.6% saved)

simplify109.0ms (1.3%)

Algorithm
egg-herbie
Rules
370×exp-diff_binary64
335×*-commutative_binary64
301×exp-sum_binary64
289×exp-prod_binary64
237×unsub-neg_binary64
224×cancel-sign-sub-inv_binary64
208×sub-neg_binary64
200×associate-+l-_binary64
195×distribute-rgt-neg-out_binary64
190×distribute-lft-neg-out_binary64
177×distribute-rgt-neg-in_binary64
158×neg-sub0_binary64
154×+-commutative_binary64
149×neg-mul-1_binary64 associate--r+_binary64
144×distribute-lft-neg-in_binary64
134×associate--l+_binary64
124×associate-+l+_binary64
115×distribute-rgt-in_binary64
113×associate-+r-_binary64
107×associate-+r+_binary64
105×distribute-lft-in_binary64
97×associate-*l*_binary64
91×distribute-neg-in_binary64
83×associate-*r*_binary64
74×distribute-rgt-out_binary64
48×associate--r-_binary64
47×sqr-pow_binary64
31×associate--l-_binary64
27×remove-double-neg_binary64
26×log-prod_binary64 +-rgt-identity_binary64
25×cube-prod_binary64
23×exp-neg_binary64
22×*-lft-identity_binary64 unswap-sqr_binary64 distribute-rgt-out--_binary64
20×*-rgt-identity_binary64 sub0-neg_binary64
18×distribute-neg-out_binary64
16×difference-of-squares_binary64 swap-sqr_binary64
12×unpow3_binary64
11×associate-/l*_binary64
10×distribute-lft-out_binary64
mul-1-neg_binary64
div-sub_binary64
pow-sqr_binary64
cube-mult_binary64 distribute-lft-out--_binary64
distribute-rgt1-in_binary64
cube-unmult_binary64 cube-neg_binary64 sqr-neg_binary64 cancel-sign-sub_binary64
unpow1/2_binary64 distribute-frac-neg_binary64 associate-*r/_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-*l/_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 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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_binary64 /-rgt-identity_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 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 associate-/r/_binary64 associate-/r*_binary64
Counts
105 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01511771
14161657
213651382
323081382
443001382
551231382

prune31.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New78482
Fresh000
Picked011
Done000
Total78583
Error
0.0b
Counts
83 → 5
Compiler

Compiled 703 to 222 computations (68.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite117.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
24×add-sqr-sqrt_binary64 cancel-sign-sub-inv_binary64
22×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
12×associate-*r/_binary64
11×add-log-exp_binary64
10×associate-*r*_binary64
associate-+r+_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sub-neg_binary64 associate-+l+_binary64
flip3--_binary64 flip--_binary64 associate-*l*_binary64
sum-log_binary64 frac-add_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
distribute-lft-out_binary64
Counts
4 → 105
Calls

4 calls:

9.0ms
(+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y)))
7.0ms
(+.f64 x (+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y))))
7.0ms
(*.f64 x (-.f64 z y))
7.0ms
(*.f64 t (-.f64 y z))
Compiler

Compiled 2204 to 496 computations (77.5% saved)

series199.0ms (2.4%)

Error
0b
Counts
4 → 78
Calls

4 calls:

64.0ms
(+.f64 x (+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y))))
59.0ms
(+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y)))
26.0ms
(*.f64 t (-.f64 y z))
26.0ms
(*.f64 x (-.f64 z y))
Compiler

Compiled 1990 to 1359 computations (31.7% saved)

simplify129.0ms (1.6%)

Algorithm
egg-herbie
Rules
386×associate-+l+_binary64
351×associate-+r+_binary64
295×exp-prod_binary64
245×cancel-sign-sub-inv_binary64
234×associate-*l*_binary64
209×associate-*r*_binary64
180×*-commutative_binary64
175×distribute-rgt-in_binary64
166×distribute-lft-in_binary64
138×distribute-rgt-neg-in_binary64
122×sub-neg_binary64
118×associate--r+_binary64
110×associate--l+_binary64
94×distribute-lft-neg-out_binary64
93×distribute-lft-neg-in_binary64
89×distribute-rgt-neg-out_binary64
88×associate-+l-_binary64
76×distribute-neg-in_binary64
71×+-commutative_binary64
68×associate-+r-_binary64
60×unsub-neg_binary64
57×neg-sub0_binary64
53×distribute-rgt-out_binary64
48×neg-mul-1_binary64
44×distribute-rgt-out--_binary64
37×*-lft-identity_binary64
36×log-prod_binary64 unswap-sqr_binary64
35×exp-sum_binary64 sqr-pow_binary64
30×*-rgt-identity_binary64
28×associate--r-_binary64
22×cube-prod_binary64 distribute-lft-out_binary64
20×exp-diff_binary64
18×associate--l-_binary64
15×cancel-sign-sub_binary64
13×unpow3_binary64
12×swap-sqr_binary64
11×mul-1-neg_binary64
10×difference-of-squares_binary64 distribute-lft-out--_binary64
cube-mult_binary64 remove-double-neg_binary64 associate-*l/_binary64 associate-*r/_binary64
prod-exp_binary64
exp-neg_binary64 div-sub_binary64 distribute-rgt1-in_binary64
pow-plus_binary64 cube-unmult_binary64 +-rgt-identity_binary64
unpow1/2_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 pow-sqr_binary64
1-exp_binary64 exp-1-e_binary64 difference-of-sqr-1_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 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 /-rgt-identity_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64
Counts
183 → 128
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02292709
16332498
222032477
349162477
451472477

prune42.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh033
Picked101
Done011
Total1285133
Error
0b
Counts
133 → 5
Compiler

Compiled 973 to 308 computations (68.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 t (-.f64 y z))
0.0b
(*.f64 x (-.f64 1 (-.f64 y z)))
0.0b
(+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 1 (-.f64 y z))))

rewrite116.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×add-sqr-sqrt_binary64 cancel-sign-sub-inv_binary64
31×*-un-lft-identity_binary64
22×distribute-rgt-in_binary64 distribute-lft-in_binary64
15×add-cube-cbrt_binary64
14×associate-+r+_binary64
12×associate-*r/_binary64 associate-*r*_binary64
sub-neg_binary64 associate-+l+_binary64 distribute-lft-out--_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64
flip3--_binary64 flip--_binary64 associate-*l*_binary64
add-log-exp_binary64
frac-add_binary64 associate--r-_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
3 → 105
Calls

3 calls:

11.0ms
(+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 1 (-.f64 y z))))
9.0ms
(*.f64 x (-.f64 1 (-.f64 y z)))
6.0ms
(*.f64 t (-.f64 y z))
Compiler

Compiled 2161 to 776 computations (64.1% saved)

series140.0ms (1.7%)

Error
0b
Counts
3 → 54
Calls

3 calls:

65.0ms
(+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 1 (-.f64 y z))))
28.0ms
(*.f64 t (-.f64 y z))
28.0ms
(*.f64 x (-.f64 1 (-.f64 y z)))
Compiler

Compiled 1401 to 989 computations (29.4% saved)

simplify121.0ms (1.5%)

Algorithm
egg-herbie
Rules
430×associate-+r+_binary64
404×associate-+l+_binary64
251×exp-prod_binary64
226×associate-*l*_binary64
198×associate-*r*_binary64
167×distribute-rgt-in_binary64
158×distribute-lft-in_binary64 *-commutative_binary64
152×cancel-sign-sub-inv_binary64
130×distribute-rgt-neg-in_binary64
102×distribute-lft-neg-out_binary64
100×sub-neg_binary64
99×associate--r+_binary64
97×distribute-rgt-neg-out_binary64
90×associate--l+_binary64
84×distribute-lft-neg-in_binary64
76×associate-+l-_binary64 +-commutative_binary64
69×associate-+r-_binary64
66×distribute-neg-in_binary64
61×neg-sub0_binary64
53×log-prod_binary64 *-lft-identity_binary64 distribute-rgt-out_binary64
51×neg-mul-1_binary64
38×unsub-neg_binary64 *-rgt-identity_binary64
34×unswap-sqr_binary64
32×sqr-pow_binary64
28×distribute-rgt-out--_binary64 distribute-lft-out_binary64
21×exp-sum_binary64 cube-prod_binary64
14×swap-sqr_binary64
13×associate--r-_binary64
12×unpow3_binary64
10×exp-diff_binary64 mul-1-neg_binary64
distribute-lft-out--_binary64
remove-double-neg_binary64 associate--l-_binary64
cube-mult_binary64 div-sub_binary64 difference-of-squares_binary64
distribute-rgt1-in_binary64 associate-/l*_binary64
cube-unmult_binary64 +-rgt-identity_binary64 cancel-sign-sub_binary64
unpow1/2_binary64 exp-neg_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 pow-sqr_binary64
log-pow_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-out_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-rec_binary64 log-div_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 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 /-rgt-identity_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64
Counts
159 → 133
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02202376
15892217
220242181
348142181
450652181

prune54.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh123
Picked011
Done011
Total1335138
Error
0b
Counts
138 → 5
Compiler

Compiled 1344 to 399 computations (70.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
0.6b
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
0.6b
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
0.6b
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))

rewrite77.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64 flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
2.0ms
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
2.0ms
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
2.0ms
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
Compiler

Compiled 3915 to 331 computations (91.5% saved)

series3.9s (47.9%)

Error
0b
Counts
4 → 110
Calls

4 calls:

2.4s
(*.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
421.0ms
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
419.0ms
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
417.0ms
(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
Compiler

Compiled 50831 to 31586 computations (37.9% saved)

simplify462.0ms (5.7%)

Algorithm
egg-herbie
Rules
652×*-commutative_binary64
308×associate-*r*_binary64
260×+-commutative_binary64
200×associate-+r+_binary64
143×times-frac_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*r/_binary64
70×associate-*l*_binary64
63×neg-mul-1_binary64 neg-sub0_binary64
61×sub-neg_binary64
56×sqr-pow_binary64
36×exp-prod_binary64 associate--l+_binary64
24×cancel-sign-sub-inv_binary64 associate--r+_binary64
19×unpow1/3_binary64 distribute-lft-out_binary64
17×log-pow_binary64
16×log-prod_binary64
14×unpow2_binary64 unpow1_binary64
log-div_binary64 unpow3_binary64 cube-mult_binary64
log-rec_binary64 cube-unmult_binary64
div-sub_binary64
cube-prod_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64
1-exp_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_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 pow-base-0_binary64 unpow1/2_binary64 pow-plus_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 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-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_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 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+l+_binary64
Counts
197 → 172
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131322834
1481022686
2498922686
3498422686

prune255.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1720172
Fresh022
Picked011
Done022
Total1725177
Error
0b
Counts
177 → 5
Compiler

Compiled 17304 to 6864 computations (60.3% saved)

regimes412.0ms (5%)

Accuracy

Total 0.0b remaining (68%)

Threshold costs 0.0b (68%)

Compiler

Compiled 3824 to 3151 computations (17.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-mul-1_binary64 neg-sub0_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 1-exp_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-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11513
22313
32713
42913
52913

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample833.0ms (10.2%)

Algorithm
intervals
Results
238.0ms8000×body128valid
67.0ms2572×body128invalid
Compiler

Compiled 114 to 97 computations (14.9% saved)

Profiling

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