Details

Time bar (total: 6.2s)

analyze876.0ms (14%)

Algorithm
1×search
2×egg-herbie
Rules
997×div-sub_binary64
387×cancel-sign-sub-inv_binary64
358×times-frac_binary64
329×distribute-rgt-in_binary64 associate-/l*_binary64
280×distribute-rgt-neg-in_binary64
263×neg-mul-1_binary64
253×distribute-neg-frac_binary64
246×distribute-lft-neg-in_binary64
218×sub-neg_binary64
201×neg-sub0_binary64
184×associate-/r/_binary64
105×associate-/l/_binary64
91×associate-*r*_binary64
89×distribute-frac-neg_binary64
78×*-commutative_binary64
70×associate-/r*_binary64
54×unsub-neg_binary64
45×distribute-neg-in_binary64
43×+-commutative_binary64
41×div0_binary64 associate-*l*_binary64
27×distribute-lft-in_binary64
22×associate-*l/_binary64
19×sub0-neg_binary64
18×*-rgt-identity_binary64 distribute-lft-neg-out_binary64
15×mul0-rgt_binary64 mul0-lft_binary64
13×associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64
11×distribute-rgt-out--_binary64
8×/-rgt-identity_binary64 +-rgt-identity_binary64
4×*-inverses_binary64
1×1-exp_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 *-lft-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_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-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047175
1123175
2319175
3840154
42432133
54384133
64873133
75065133
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
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample26.0ms (0.4%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify64.0ms (1%)

Algorithm
1×egg-herbie
Rules
504×associate-*l/_binary64
495×div-sub_binary64
454×cancel-sign-sub-inv_binary64
429×sub-neg_binary64
348×associate-*l*_binary64
337×neg-mul-1_binary64
323×distribute-neg-frac_binary64
293×distribute-lft-neg-in_binary64
282×distribute-rgt-neg-in_binary64
278×distribute-rgt-in_binary64
271×neg-sub0_binary64
226×distribute-lft-in_binary64
146×unsub-neg_binary64
145×associate-/l*_binary64
92×*-commutative_binary64
68×associate-/r/_binary64
65×distribute-rgt-neg-out_binary64
63×distribute-frac-neg_binary64
59×times-frac_binary64
58×swap-sqr_binary64
56×associate-/r*_binary64
53×distribute-lft-neg-out_binary64
51×associate-+r-_binary64
41×associate-*r*_binary64
35×associate-*r/_binary64
34×cube-prod_binary64
32×*-rgt-identity_binary64
30×distribute-neg-in_binary64
29×associate--r-_binary64
28×associate-/l/_binary64 +-commutative_binary64
25×distribute-lft-out--_binary64
24×div0_binary64
20×associate--r+_binary64
19×*-lft-identity_binary64
17×cube-div_binary64
16×sub0-neg_binary64 associate-+l-_binary64
12×mul0-lft_binary64
11×mul0-rgt_binary64
8×associate-+r+_binary64
7×+-lft-identity_binary64 associate--l-_binary64
6×/-rgt-identity_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 associate-+l+_binary64
4×distribute-rgt-out--_binary64
3×sqr-neg_binary64 *-inverses_binary64 distribute-lft-out_binary64
2×cube-unmult_binary64 remove-double-neg_binary64 associate--l+_binary64
1×unpow3_binary64 1-exp_binary64 cube-neg_binary64 lft-mult-inverse_binary64 remove-double-div_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 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-mult_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 mul-1-neg_binary64 +-inverses_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 count-2_binary64
Counts
1 → 1
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01425
12925
26825
316722
446019
599919
6228019
7426819
8505919

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.8b
Counts
2 → 2
Compiler

Compiled 43 to 36 computations (16.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
0.0b
(-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))
5.4b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
6.8b
(/.f64 (*.f64 y t) (*.f64 2 z))

rewrite174.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0.2b
Rules
45×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
33×times-frac_binary64
26×cancel-sign-sub-inv_binary64
24×add-cube-cbrt_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
10×difference-of-squares_binary64
9×distribute-lft-out--_binary64
8×add-log-exp_binary64
6×associate-/r*_binary64
5×div-exp_binary64 cbrt-undiv_binary64
4×pow1_binary64 prod-exp_binary64 cbrt-unprod_binary64 div-inv_binary64 associate-/l*_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64
2×frac-2neg_binary64 clear-num_binary64 diff-log_binary64 sub-neg_binary64
Counts
4 → 111
Calls

4 calls:

12.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
6.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
6.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
5.0ms
(-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))
Compiler

Compiled 2582 to 1313 computations (49.1% saved)

series210.0ms (3.4%)

Error
0.2b
Counts
4 → 72
Calls

4 calls:

75.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
51.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
43.0ms
(-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))
28.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
Compiler

Compiled 1686 to 1483 computations (12% saved)

simplify145.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
485×associate-/l/_binary64
257×distribute-rgt-neg-in_binary64
238×distribute-neg-frac_binary64
232×cancel-sign-sub-inv_binary64
228×distribute-lft-neg-in_binary64
191×times-frac_binary64
188×distribute-rgt-in_binary64
170×distribute-lft-in_binary64
147×associate-/l*_binary64
127×associate-*l/_binary64
125×*-commutative_binary64
114×neg-sub0_binary64
113×associate-*r/_binary64
107×sub-neg_binary64
104×neg-mul-1_binary64
102×log-prod_binary64
93×associate-*l*_binary64
89×distribute-lft-neg-out_binary64 associate-/r*_binary64
80×associate-*r*_binary64
76×div-sub_binary64
72×distribute-rgt-neg-out_binary64
62×log-div_binary64
58×exp-prod_binary64
36×unswap-sqr_binary64 +-commutative_binary64
34×sqr-pow_binary64
27×distribute-frac-neg_binary64
26×distribute-rgt-out_binary64
24×cube-div_binary64
23×associate-/r/_binary64
20×distribute-neg-in_binary64
18×cube-prod_binary64
17×*-rgt-identity_binary64
15×unsub-neg_binary64
13×swap-sqr_binary64
12×unpow3_binary64
9×exp-diff_binary64 associate--r+_binary64
8×cube-mult_binary64 div0_binary64 difference-of-squares_binary64 distribute-neg-out_binary64 associate-+l+_binary64
6×log-pow_binary64 exp-sqrt_binary64 exp-sum_binary64 /-rgt-identity_binary64 associate-+r+_binary64
5×associate--l+_binary64 associate-+r-_binary64
4×cube-unmult_binary64 *-lft-identity_binary64 +-rgt-identity_binary64 distribute-lft-out_binary64
3×rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64
2×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 div-exp_binary64 mul-1-neg_binary64 remove-double-neg_binary64 pow-sqr_binary64 distribute-rgt-out--_binary64
1×log-rec_binary64 pow-plus_binary64 1-exp_binary64 *-inverses_binary64 cancel-sign-sub_binary64 associate--r-_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
183 → 140
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02233717
16293632
222773436
348253436
449753436

prune70.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1364140
Fresh101
Picked101
Done000
Total1384142
Error
0.0b
Counts
142 → 4
Compiler

Compiled 1705 to 782 computations (54.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 z (/.f64 y (*.f64 2 (/.f64 z t))))
0.0b
(*.f64 2 (/.f64 z t))
4.7b
(/.f64 y (*.f64 2 (/.f64 z t)))
5.4b
(/.f64 y (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))

rewrite153.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
26×add-cube-cbrt_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
8×cancel-sign-sub-inv_binary64
6×pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-/l*_binary64 associate-/r*_binary64
5×difference-of-squares_binary64 distribute-lft-out--_binary64
4×div-inv_binary64 associate-/r/_binary64 prod-exp_binary64 cbrt-unprod_binary64
3×associate-*r/_binary64 associate-*l*_binary64
2×frac-2neg_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64 unswap-sqr_binary64
1×pow-prod-down_binary64 *-commutative_binary64 diff-log_binary64 sub-neg_binary64
Counts
4 → 114
Calls

4 calls:

8.0ms
(/.f64 y (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))
7.0ms
(*.f64 2 (/.f64 z t))
6.0ms
(-.f64 z (/.f64 y (*.f64 2 (/.f64 z t))))
6.0ms
(/.f64 y (*.f64 2 (/.f64 z t)))
Compiler

Compiled 2340 to 1164 computations (50.3% saved)

series141.0ms (2.3%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

50.0ms
(/.f64 y (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))
39.0ms
(-.f64 z (/.f64 y (*.f64 2 (/.f64 z t))))
27.0ms
(/.f64 y (*.f64 2 (/.f64 z t)))
17.0ms
(*.f64 2 (/.f64 z t))
Compiler

Compiled 1302 to 1115 computations (14.4% saved)

simplify163.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
847×times-frac_binary64
693×associate-/l*_binary64
413×associate-/r/_binary64
385×associate-/l/_binary64
120×distribute-rgt-neg-in_binary64
116×distribute-neg-frac_binary64
107×cancel-sign-sub-inv_binary64
104×distribute-lft-neg-in_binary64
89×associate-*r/_binary64
86×associate-*l/_binary64
80×*-commutative_binary64
77×associate-/r*_binary64
54×distribute-rgt-in_binary64
53×sub-neg_binary64
50×neg-mul-1_binary64 neg-sub0_binary64
48×distribute-lft-in_binary64
38×associate-*l*_binary64 associate-*r*_binary64
35×exp-prod_binary64
28×sqr-pow_binary64
25×distribute-lft-neg-out_binary64
23×div-sub_binary64
20×unswap-sqr_binary64
19×distribute-rgt-neg-out_binary64 +-commutative_binary64
18×*-rgt-identity_binary64
14×log-div_binary64
13×cube-div_binary64 distribute-rgt-out_binary64
11×distribute-neg-in_binary64
9×log-prod_binary64 cube-prod_binary64
8×/-rgt-identity_binary64
6×unpow3_binary64 exp-diff_binary64 swap-sqr_binary64 distribute-frac-neg_binary64 associate--r+_binary64
5×unsub-neg_binary64
4×cube-unmult_binary64 cube-mult_binary64 difference-of-squares_binary64
3×exp-sum_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 associate--r-_binary64 associate-+r-_binary64 associate-+l+_binary64
2×log-pow_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-sqrt_binary64 *-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 div0_binary64 distribute-rgt-out--_binary64 associate-+l-_binary64 associate-+r+_binary64
1×pow-plus_binary64 exp-lft-sqr_binary64 div-exp_binary64 prod-exp_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 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-cbrt_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-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 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64 associate--l+_binary64
Counts
165 → 120
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02052670
14912525
214812524
350202524

prune146.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh123
Picked011
Done000
Total1204124
Error
0b
Counts
124 → 4
Compiler

Compiled 1462 to 683 computations (53.3% saved)

localize43.0ms (0.7%)

Local error

Found 4 expressions with local error:

5.2b
(*.f64 (/.f64 y z) t)
10.0b
(cbrt.f64 (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))
10.0b
(cbrt.f64 (+.f64 z (*.f64 (*.f64 (/.f64 y z) t) -1/2)))
10.0b
(cbrt.f64 (+.f64 z (*.f64 (*.f64 (/.f64 y z) t) -1/2)))

rewrite264.0ms (4.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
22×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
13×associate-*l*_binary64
11×cbrt-prod_binary64
10×times-frac_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow1_binary64 cbrt-div_binary64
4×add-log-exp_binary64
3×pow1/3_binary64 associate-*r*_binary64
2×flip3-+_binary64 flip-+_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
1×flip3--_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*l/_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

13.0ms
(cbrt.f64 (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))
13.0ms
(*.f64 (/.f64 y z) t)
6.0ms
(cbrt.f64 (+.f64 z (*.f64 (*.f64 (/.f64 y z) t) -1/2)))
5.0ms
(cbrt.f64 (+.f64 z (*.f64 (*.f64 (/.f64 y z) t) -1/2)))
Compiler

Compiled 3242 to 1587 computations (51% saved)

series661.0ms (10.6%)

Error
0b
Counts
4 → 60
Calls

4 calls:

163.0ms
(cbrt.f64 (-.f64 z (/.f64 y (*.f64 2 (/.f64 z t)))))
162.0ms
(cbrt.f64 (+.f64 z (*.f64 (*.f64 (/.f64 y z) t) -1/2)))
161.0ms
(cbrt.f64 (+.f64 z (*.f64 (*.f64 (/.f64 y z) t) -1/2)))
68.0ms
(*.f64 (/.f64 y z) t)
Compiler

Compiled 7071 to 4965 computations (29.8% saved)

simplify244.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
672×times-frac_binary64
503×associate-/l*_binary64
382×associate-/r*_binary64
203×distribute-rgt-neg-in_binary64
191×distribute-lft-neg-in_binary64
174×cancel-sign-sub-inv_binary64
170×associate-/r/_binary64
113×distribute-neg-frac_binary64
104×associate-*r*_binary64
96×associate-*l*_binary64
91×*-commutative_binary64
88×associate-*r/_binary64
84×associate-*l/_binary64
73×sub-neg_binary64
66×log-div_binary64
65×log-prod_binary64
62×distribute-rgt-in_binary64
61×sqr-pow_binary64
59×associate-/l/_binary64
56×neg-mul-1_binary64 neg-sub0_binary64
53×distribute-lft-in_binary64
33×exp-sum_binary64
32×+-commutative_binary64
27×cube-prod_binary64
24×unswap-sqr_binary64
22×swap-sqr_binary64 distribute-lft-neg-out_binary64
21×exp-prod_binary64
18×distribute-rgt-out_binary64
16×cube-div_binary64
12×unpow3_binary64
11×unsub-neg_binary64
10×cube-mult_binary64
9×distribute-rgt-neg-out_binary64
8×log-rec_binary64 unpow1/3_binary64 div-sub_binary64 distribute-rgt-out--_binary64
7×pow-sqr_binary64
6×exp-diff_binary64 *-lft-identity_binary64 associate-+l+_binary64
5×*-rgt-identity_binary64 difference-of-squares_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64
4×cube-unmult_binary64 associate-+r+_binary64
3×distribute-lft-out_binary64 associate-+r-_binary64
2×log-pow_binary64 rem-3cbrt-lft_binary64 remove-double-neg_binary64 cancel-sign-sub_binary64 associate--l+_binary64 associate-+l-_binary64
1×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 /-rgt-identity_binary64 +-inverses_binary64 distribute-frac-neg_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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--l-_binary64 associate--r+_binary64
Counts
133 → 118
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02062963
15312879
216592816
349682816
449742816

prune263.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done011
Total1184122
Error
0b
Counts
122 → 4
Compiler

Compiled 4249 to 2131 computations (49.8% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2))
0.8b
(/.f64 1 (/.f64 (+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2)) y))
5.3b
(/.f64 (+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2)) y)
6.8b
(/.f64 (*.f64 t y) z)

rewrite269.0ms (4.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
87×times-frac_binary64
56×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
22×add-exp-log_binary64
19×associate-/r*_binary64
16×add-cbrt-cube_binary64
10×div-exp_binary64
7×div-inv_binary64 associate-/l*_binary64
6×add-log-exp_binary64 cbrt-undiv_binary64
5×pow1_binary64
3×frac-2neg_binary64 clear-num_binary64
2×flip3-+_binary64 associate-/l/_binary64 flip-+_binary64 1-exp_binary64 rec-exp_binary64
1×prod-exp_binary64 cbrt-unprod_binary64 inv-pow_binary64 pow-flip_binary64 associate-/r/_binary64 sum-log_binary64 +-commutative_binary64
Counts
4 → 137
Calls

4 calls:

13.0ms
(/.f64 1 (/.f64 (+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2)) y))
10.0ms
(/.f64 (+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2)) y)
9.0ms
(/.f64 (*.f64 t y) z)
7.0ms
(+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2))
Compiler

Compiled 3722 to 1889 computations (49.2% saved)

series181.0ms (2.9%)

Error
0b
Counts
4 → 63
Calls

4 calls:

52.0ms
(/.f64 (+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2)) y)
49.0ms
(/.f64 1 (/.f64 (+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2)) y))
43.0ms
(+.f64 z (*.f64 (/.f64 (*.f64 t y) z) -1/2))
26.0ms
(/.f64 (*.f64 t y) z)
Compiler

Compiled 1578 to 1392 computations (11.8% saved)

simplify195.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
639×div-sub_binary64
458×associate-/r/_binary64
455×associate-/r*_binary64
454×associate-/l/_binary64
374×*-commutative_binary64
161×cube-prod_binary64
149×sub-neg_binary64
130×neg-mul-1_binary64
126×neg-sub0_binary64
124×associate-*l/_binary64
112×associate-/l*_binary64
103×associate-*r/_binary64
102×cube-div_binary64
100×distribute-rgt-in_binary64
97×unsub-neg_binary64
87×times-frac_binary64
86×distribute-lft-in_binary64
81×*-rgt-identity_binary64 associate-*r*_binary64
77×exp-prod_binary64
76×distribute-rgt-neg-in_binary64
73×associate-*l*_binary64
70×sqr-pow_binary64
64×distribute-neg-frac_binary64
62×log-div_binary64
60×distribute-lft-neg-in_binary64
57×log-prod_binary64
55×cancel-sign-sub-inv_binary64
48×unpow3_binary64
44×cube-mult_binary64
43×associate-+r+_binary64
41×/-rgt-identity_binary64
34×*-lft-identity_binary64
33×associate-+r-_binary64 +-commutative_binary64
31×distribute-lft-neg-out_binary64
28×associate-+l-_binary64
27×exp-diff_binary64
25×unswap-sqr_binary64
24×associate-+l+_binary64
20×distribute-rgt-neg-out_binary64
18×exp-sum_binary64
15×cube-neg_binary64
14×+-rgt-identity_binary64 swap-sqr_binary64
13×sub0-neg_binary64
11×log-rec_binary64 remove-double-neg_binary64 associate--l-_binary64
9×div0_binary64 distribute-rgt-out_binary64 associate--r-_binary64
8×associate--r+_binary64
7×cube-unmult_binary64 distribute-frac-neg_binary64 distribute-neg-in_binary64
6×log-pow_binary64 unpow1/2_binary64 associate--l+_binary64
5×sqr-neg_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
4×pow-plus_binary64 remove-double-div_binary64 pow-sqr_binary64
3×rem-sqrt-square_binary64 --rgt-identity_binary64 +-lft-identity_binary64
2×unpow2_binary64 unpow1_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
1×prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 difference-of-squares_binary64 count-2_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 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 div-exp_binary64 rec-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 mul-1-neg_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-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
200 → 116
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02074541
15034174
217144156
339474156
446304156
556704156

prune70.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done022
Total1164120
Error
0b
Counts
120 → 4
Compiler

Compiled 1442 to 697 computations (51.7% saved)

regimes473.0ms (7.6%)

Accuracy

Total 0.1b remaining (92%)

Threshold costs 0.1b (92%)

Compiler

Compiled 6249 to 5056 computations (19.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×sub-neg_binary64 +-commutative_binary64
5×*-commutative_binary64
4×neg-mul-1_binary64 neg-sub0_binary64
2×cancel-sign-sub-inv_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
1×1-exp_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 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 distribute-lft-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
12419
23619
34419
45019
55319
65419
75119

end1.0ms (0%)

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.4s (21.8%)

Algorithm
1×intervals
Results
630.0ms8000×body128valid
Compiler

Compiled 118 to 114 computations (3.4% saved)

Profiling

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