Details

Time bar (total: 6.4s)

analyze880.0ms (13.7%)

Algorithm
search
egg-herbie
Rules
737×div-sub_binary64
456×distribute-neg-frac_binary64
352×neg-mul-1_binary64
328×sub-neg_binary64
299×distribute-rgt-in_binary64
297×distribute-rgt-neg-in_binary64
253×distribute-lft-in_binary64
240×associate-/l*_binary64
237×distribute-lft-neg-in_binary64
216×cancel-sign-sub-inv_binary64
190×cancel-sign-sub_binary64
173×distribute-rgt-neg-out_binary64
158×distribute-lft-neg-out_binary64
142×times-frac_binary64
117×associate-/r*_binary64
104×neg-sub0_binary64
90×associate--r+_binary64
87×associate-/l/_binary64
86×+-commutative_binary64
81×associate-+l-_binary64
78×unsub-neg_binary64
65×distribute-lft-out--_binary64
62×associate-*l/_binary64 *-commutative_binary64
58×associate-*r/_binary64
56×sub0-neg_binary64
53×distribute-neg-in_binary64
52×associate-/r/_binary64
51×associate--r-_binary64
49×associate-+r-_binary64 associate-+r+_binary64
44×distribute-lft-out_binary64 associate-*r*_binary64
43×distribute-frac-neg_binary64
42×associate--l+_binary64
41×associate-+l+_binary64
36×distribute-rgt-out--_binary64
35×associate--l-_binary64
34×associate-*l*_binary64
30×distribute-neg-out_binary64
26×remove-double-neg_binary64
22×+-rgt-identity_binary64
19×*-lft-identity_binary64
14×--rgt-identity_binary64
13×div0_binary64 distribute-rgt-out_binary64
mul0-rgt_binary64 mul0-lft_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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043154
1112154
2280154
3535154
41129133
52410112
64265112
74937112
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
15.6%84.2%0.2%8
15.6%84.2%0.2%9
20.3%79.5%0.2%10
25.3%74.5%0.2%11
34.2%65.6%0.2%12
37.4%62%0.6%13
41.7%57.7%0.6%14
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample35.0ms (0.5%)

Algorithm
intervals
Results
16.0ms256×body128valid
4.0ms78×body128invalid
Compiler

Compiled 31 to 31 computations (0% saved)

simplify376.0ms (5.9%)

Algorithm
egg-herbie
Rules
1775×cancel-sign-sub-inv_binary64
1670×distribute-rgt-in_binary64
1374×div-sub_binary64
1020×distribute-lft-in_binary64
922×associate-/r/_binary64
629×associate-/l/_binary64
562×distribute-rgt-neg-in_binary64
560×distribute-neg-frac_binary64
554×sub-neg_binary64
522×neg-mul-1_binary64
480×distribute-rgt-neg-out_binary64
420×distribute-lft-neg-in_binary64
403×neg-sub0_binary64
347×distribute-lft-neg-out_binary64
345×*-commutative_binary64
297×unsub-neg_binary64 distribute-frac-neg_binary64
240×associate-/l*_binary64
213×associate-*r/_binary64
208×remove-double-neg_binary64
196×times-frac_binary64
192×associate-/r*_binary64
180×distribute-rgt-out--_binary64
174×distribute-rgt-out_binary64
170×+-rgt-identity_binary64
166×distribute-neg-in_binary64
163×associate-*l/_binary64
159×associate-*r*_binary64
148×associate--r+_binary64
132×mul0-lft_binary64
128×mul0-rgt_binary64 cancel-sign-sub_binary64
109×+-lft-identity_binary64
107×*-rgt-identity_binary64
105×+-commutative_binary64
81×div0_binary64
38×associate-*l*_binary64
37×associate--r-_binary64
33×associate-+l-_binary64
32×distribute-neg-out_binary64
28×associate--l+_binary64
25×/-rgt-identity_binary64 *-lft-identity_binary64
24×mul-1-neg_binary64 sub0-neg_binary64
14×--rgt-identity_binary64
13×associate--l-_binary64
12×distribute-lft-out--_binary64
associate-+r-_binary64
associate-+l+_binary64
associate-+r+_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 *-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64
Counts
1 → 1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01222
12522
25822
310722
421522
540816
677316
7179716
8201916
9215016
10274116
11292516
12302616
13476816
14348416
15353816
16365916
17365516
18366216
19371016
20372916
21373016
22373016
23282016
24336416
25398816
26370216
27480016

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 37 to 33 computations (10.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 -1/3 z)
3.6b
(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite145.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
42×add-sqr-sqrt_binary64
38×times-frac_binary64
34×*-un-lft-identity_binary64
32×add-cube-cbrt_binary64
26×cancel-sign-sub-inv_binary64
14×distribute-rgt-in_binary64 distribute-lft-in_binary64
13×associate-*l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
pow1_binary64 div-inv_binary64
associate-/l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 flip3--_binary64 frac-times_binary64 flip--_binary64 unswap-sqr_binary64 sub-neg_binary64 associate-*r/_binary64 difference-of-squares_binary64
pow-prod-down_binary64 associate-*l/_binary64 distribute-lft-out--_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 94
Calls

2 calls:

14.0ms
(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
3.0ms
(/.f64 -1/3 z)
Compiler

Compiled 1837 to 846 computations (53.9% saved)

series62.0ms (1%)

Error
0.1b
Counts
2 → 18
Calls

2 calls:

49.0ms
(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
6.0ms
(/.f64 -1/3 z)
Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify104.0ms (1.6%)

Algorithm
egg-herbie
Rules
468×neg-mul-1_binary64
350×distribute-rgt-in_binary64
322×distribute-lft-in_binary64
228×distribute-rgt-neg-out_binary64
227×distribute-lft-neg-out_binary64
185×associate-*l*_binary64
180×*-commutative_binary64
172×associate-*r*_binary64
166×associate-*l/_binary64
153×div-sub_binary64
142×associate-*r/_binary64
121×neg-sub0_binary64
118×distribute-rgt-neg-in_binary64
117×exp-prod_binary64
108×times-frac_binary64
86×distribute-neg-frac_binary64 associate-/l*_binary64
82×distribute-lft-neg-in_binary64
79×cancel-sign-sub-inv_binary64
53×exp-sum_binary64 distribute-frac-neg_binary64
52×sub-neg_binary64
44×cube-prod_binary64
40×*-rgt-identity_binary64
37×*-lft-identity_binary64
32×log-prod_binary64
31×exp-neg_binary64
28×associate-/l/_binary64
20×associate-/r*_binary64
19×exp-diff_binary64 cube-div_binary64 sqr-pow_binary64
16×+-commutative_binary64
15×log-div_binary64
14×swap-sqr_binary64
13×unpow3_binary64 unsub-neg_binary64
10×cube-mult_binary64 cancel-sign-sub_binary64
cube-unmult_binary64
remove-double-neg_binary64
sqr-neg_binary64 /-rgt-identity_binary64 associate-/r/_binary64
cube-neg_binary64 distribute-rgt-out_binary64
mul-1-neg_binary64
div0_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate-+l+_binary64 associate-+r+_binary64
log-rec_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 unswap-sqr_binary64 associate-+r-_binary64
unpow1/3_binary64 unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 +-rgt-identity_binary64 pow-sqr_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out_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 pow-base-0_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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 *-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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
112 → 77
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02081958
16051832
220931658
343381646
452061646

prune50.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New68977
Fresh011
Picked011
Done000
Total681179
Error
0.0b
Counts
79 → 11
Compiler

Compiled 816 to 456 computations (44.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
3.4b
(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite144.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
64×add-sqr-sqrt_binary64
44×times-frac_binary64
38×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
22×associate-*r*_binary64
14×difference-of-squares_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
distribute-lft-out--_binary64
associate-/l*_binary64
pow1_binary64
associate-/r*_binary64 associate-*l*_binary64
div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 associate-/l/_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
frac-2neg_binary64 div-sub_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64 pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
2 → 83
Calls

2 calls:

14.0ms
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
13.0ms
(/.f64 (-.f64 y (/.f64 t y)) z)
Compiler

Compiled 1722 to 607 computations (64.8% saved)

series110.0ms (1.7%)

Error
0.0b
Counts
2 → 30
Calls

2 calls:

51.0ms
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
44.0ms
(/.f64 (-.f64 y (/.f64 t y)) z)
Compiler

Compiled 807 to 703 computations (12.9% saved)

simplify118.0ms (1.8%)

Algorithm
egg-herbie
Rules
506×distribute-rgt-neg-out_binary64
299×associate-*l/_binary64
297×div-sub_binary64
277×associate-*r/_binary64
216×associate-*l*_binary64
198×distribute-rgt-in_binary64 associate-/l*_binary64
190×distribute-lft-in_binary64
171×associate-*r*_binary64
147×distribute-frac-neg_binary64
140×*-commutative_binary64
128×associate-/l/_binary64
96×sub-neg_binary64
90×neg-sub0_binary64
84×associate-/r/_binary64
82×associate-/r*_binary64
76×cancel-sign-sub-inv_binary64 distribute-neg-frac_binary64
72×exp-prod_binary64 times-frac_binary64
61×exp-sum_binary64
58×neg-mul-1_binary64
53×log-div_binary64
49×exp-diff_binary64
38×log-prod_binary64
34×+-commutative_binary64
33×unsub-neg_binary64
29×distribute-lft-neg-out_binary64
27×swap-sqr_binary64
26×cube-prod_binary64
25×sqr-pow_binary64
24×cube-div_binary64
17×mul-1-neg_binary64
16×unpow3_binary64 exp-neg_binary64
14×associate-+r-_binary64
13×distribute-neg-in_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
11×*-rgt-identity_binary64
10×/-rgt-identity_binary64
*-lft-identity_binary64 +-rgt-identity_binary64 associate-+l-_binary64
associate-+r+_binary64
sqr-neg_binary64 associate-+l+_binary64
cube-unmult_binary64
log-rec_binary64 cube-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 distribute-rgt-out_binary64
unpow1/3_binary64 cube-mult_binary64 distribute-lft-out--_binary64 associate--l-_binary64 associate--r+_binary64
pow-sqr_binary64 distribute-neg-out_binary64 associate--r-_binary64
1-exp_binary64 --rgt-identity_binary64 div0_binary64 *-inverses_binary64 unswap-sqr_binary64 distribute-rgt-out--_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 pow-base-0_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_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-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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-lft-out_binary64 count-2_binary64
Counts
113 → 66
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01471884
13571768
29451768
327421768
448261767
550001767

prune56.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh279
Picked011
Done011
Total671077
Error
0.0b
Counts
77 → 10
Compiler

Compiled 800 to 406 computations (49.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (-.f64 y (/.f64 t y)) -1/3)
3.6b
(*.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z))

rewrite121.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64 associate-*r*_binary64
13×prod-exp_binary64 *-un-lft-identity_binary64
11×add-cube-cbrt_binary64
10×times-frac_binary64
pow1_binary64
associate-*l/_binary64
cbrt-unprod_binary64 associate-*l*_binary64
pow-prod-down_binary64 div-exp_binary64
flip3--_binary64 flip--_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-times_binary64 *-commutative_binary64 difference-of-squares_binary64
un-div-inv_binary64 associate-*r/_binary64 div-inv_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64
Counts
2 → 65
Calls

2 calls:

17.0ms
(*.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z))
10.0ms
(*.f64 (-.f64 y (/.f64 t y)) -1/3)
Compiler

Compiled 1428 to 754 computations (47.2% saved)

series92.0ms (1.4%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

52.0ms
(*.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z))
28.0ms
(*.f64 (-.f64 y (/.f64 t y)) -1/3)
Compiler

Compiled 753 to 674 computations (10.5% saved)

simplify85.0ms (1.3%)

Algorithm
egg-herbie
Rules
387×div-sub_binary64
343×*-commutative_binary64
305×associate-/l*_binary64
254×associate-*r/_binary64
250×distribute-rgt-in_binary64
245×distribute-lft-in_binary64
215×associate-*l/_binary64
160×times-frac_binary64
157×associate-*l*_binary64
147×neg-sub0_binary64
143×neg-mul-1_binary64
117×associate-*r*_binary64
91×associate-/r*_binary64
90×sub-neg_binary64
62×exp-prod_binary64
59×distribute-lft-neg-out_binary64
58×distribute-rgt-neg-out_binary64
54×associate-/l/_binary64
47×associate-/r/_binary64
40×unsub-neg_binary64
39×exp-sum_binary64
38×associate-+r+_binary64
36×cube-prod_binary64
33×associate-+l+_binary64
32×log-prod_binary64
31×+-commutative_binary64
30×log-div_binary64
29×cube-div_binary64 distribute-neg-frac_binary64
28×associate-+r-_binary64
27×*-rgt-identity_binary64 *-lft-identity_binary64
26×sqr-pow_binary64
25×associate-+l-_binary64
23×distribute-rgt-neg-in_binary64
19×exp-diff_binary64 distribute-lft-neg-in_binary64
17×swap-sqr_binary64 cancel-sign-sub-inv_binary64
11×unpow3_binary64
cube-mult_binary64 sqr-neg_binary64
exp-neg_binary64 distribute-frac-neg_binary64 associate--r+_binary64
cube-unmult_binary64
cube-neg_binary64 /-rgt-identity_binary64
distribute-rgt-out_binary64
+-rgt-identity_binary64
log-rec_binary64 mul-1-neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
unpow1/2_binary64 distribute-neg-in_binary64 associate--l+_binary64
1-exp_binary64 exp-1-e_binary64 sub0-neg_binary64 +-lft-identity_binary64 pow-sqr_binary64 distribute-rgt-out--_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 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-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 remove-double-neg_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 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 associate--l-_binary64
Counts
92 → 76
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01411456
13491252
211851252
335531252
449801252

prune65.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New73376
Fresh347
Picked101
Done022
Total77986
Error
0.0b
Counts
86 → 9
Compiler

Compiled 1020 to 547 computations (46.4% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y)))
3.4b
(/.f64 z (-.f64 (/.f64 t y) y))

rewrite226.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
178×times-frac_binary64
158×add-sqr-sqrt_binary64
110×*-un-lft-identity_binary64
78×add-cube-cbrt_binary64
32×difference-of-squares_binary64
30×associate-/r*_binary64
16×distribute-lft-out--_binary64
11×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64 associate-/l*_binary64
flip3--_binary64 flip--_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 155
Calls

2 calls:

13.0ms
(/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y)))
9.0ms
(/.f64 z (-.f64 (/.f64 t y) y))
Compiler

Compiled 3654 to 1336 computations (63.4% saved)

series122.0ms (1.9%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

53.0ms
(/.f64 1/3 (/.f64 z (-.f64 (/.f64 t y) y)))
52.0ms
(/.f64 z (-.f64 (/.f64 t y) y))
Compiler

Compiled 1090 to 917 computations (15.9% saved)

simplify183.0ms (2.9%)

Algorithm
egg-herbie
Rules
552×associate-/r/_binary64
436×associate-/l*_binary64
407×associate-/l/_binary64
363×times-frac_binary64
293×distribute-rgt-in_binary64
281×distribute-lft-in_binary64
151×associate-*l/_binary64
144×*-commutative_binary64
125×neg-sub0_binary64
121×neg-mul-1_binary64
100×div-sub_binary64
77×associate-*r/_binary64
59×*-rgt-identity_binary64
44×associate-/r*_binary64
43×sub-neg_binary64
39×cancel-sign-sub-inv_binary64
37×exp-prod_binary64
36×distribute-rgt-neg-in_binary64 associate-*r*_binary64
35×distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64
32×distribute-rgt-neg-out_binary64
30×distribute-neg-frac_binary64
26×associate-*l*_binary64
25×cube-prod_binary64
22×+-commutative_binary64
20×sqr-pow_binary64
19×log-prod_binary64 distribute-neg-in_binary64
17×exp-sum_binary64
11×log-div_binary64 cube-div_binary64 *-lft-identity_binary64
unpow3_binary64 unsub-neg_binary64 unswap-sqr_binary64
cube-mult_binary64 /-rgt-identity_binary64 distribute-rgt-out--_binary64
swap-sqr_binary64 distribute-rgt-out_binary64
exp-diff_binary64 cube-unmult_binary64 remove-double-div_binary64 associate--r+_binary64 associate-+l+_binary64
mul-1-neg_binary64 associate-+r+_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
remove-double-neg_binary64 div0_binary64 distribute-lft-out_binary64 associate--r-_binary64
log-rec_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 cube-neg_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 *-inverses_binary64 distribute-rgt1-in_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 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 e-exp-1_binary64 exp-1-e_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 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64 associate--l+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
188 → 130
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02854633
16274481
221284431
345374430
450244430

prune123.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1264130
Fresh336
Picked011
Done112
Total1309139
Error
0.0b
Counts
139 → 9
Compiler

Compiled 2130 to 828 computations (61.1% saved)

regimes1.8s (28.3%)

Accuracy

Total 0.8b remaining (96.9%)

Threshold costs 0.8b (96.9%)

Compiler

Compiled 14870 to 12122 computations (18.5% saved)

bsearch5.0ms (0.1%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
distribute-neg-frac_binary64
unpow1_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 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 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-inv_binary64 cancel-sign-sub_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
035114
149114
260114
368114
474114
576114
675114

end2.0ms (0%)

Compiler

Compiled 77 to 52 computations (32.5% saved)

sample1.4s (22.5%)

Algorithm
intervals
Results
372.0ms8000×body128valid
146.0ms3078×body128invalid
Compiler

Compiled 276 to 236 computations (14.5% saved)

Profiling

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