Details

Time bar (total: 2.4s)

analyze316.0ms (13%)

Algorithm
search
egg-herbie
Rules
167×unsub-neg_binary64
143×distribute-rgt-in_binary64
113×sub-neg_binary64
108×cancel-sign-sub-inv_binary64
96×associate--r+_binary64
71×neg-mul-1_binary64
66×distribute-lft-in_binary64
63×associate-+l-_binary64
58×associate-*r*_binary64
54×distribute-neg-out_binary64
52×neg-sub0_binary64
48×distribute-lft-neg-out_binary64
45×distribute-rgt-neg-out_binary64
43×distribute-rgt-neg-in_binary64
42×distribute-lft-neg-in_binary64
40×associate-+r+_binary64 +-commutative_binary64
37×*-commutative_binary64
35×associate-*l*_binary64
30×associate--l+_binary64
28×associate-+l+_binary64
24×sub0-neg_binary64
23×distribute-neg-in_binary64
22×associate--l-_binary64
21×associate--r-_binary64
20×distribute-rgt-out--_binary64
18×mul0-rgt_binary64
16×mul0-lft_binary64
15×remove-double-neg_binary64
13×associate-+r-_binary64
11×distribute-rgt-out_binary64
*-rgt-identity_binary64
*-lft-identity_binary64 +-rgt-identity_binary64 distribute-lft1-in_binary64
+-lft-identity_binary64 distribute-lft-out--_binary64
1-exp_binary64 distribute-lft-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 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 mul-1-neg_binary64 /-rgt-identity_binary64 --rgt-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 distribute-rgt1-in_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
01640
13140
26540
311340
418440
540240
662240
780140
887540
983840
1077940
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms20×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify20.0ms (0.8%)

Algorithm
egg-herbie
Rules
71×cancel-sign-sub-inv_binary64
55×distribute-rgt-in_binary64
45×sub-neg_binary64
43×unsub-neg_binary64
33×distribute-lft-in_binary64 associate--r+_binary64
23×associate-*l*_binary64
22×neg-mul-1_binary64 distribute-lft-neg-out_binary64
21×associate-*r*_binary64 *-commutative_binary64
20×associate-+l-_binary64
19×distribute-neg-in_binary64 distribute-rgt-neg-in_binary64
17×neg-sub0_binary64 distribute-rgt-neg-out_binary64
15×associate--l+_binary64 +-commutative_binary64
14×sub0-neg_binary64
13×associate-+l+_binary64
12×associate-+r+_binary64
10×mul0-rgt_binary64 mul0-lft_binary64
distribute-lft-neg-in_binary64 associate--r-_binary64 associate-+r-_binary64
+-lft-identity_binary64 distribute-rgt-out--_binary64
remove-double-neg_binary64
*-lft-identity_binary64
*-rgt-identity_binary64 --rgt-identity_binary64
+-rgt-identity_binary64 distribute-rgt-out_binary64
1-exp_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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 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 mul-1-neg_binary64 /-rgt-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 distribute-neg-out_binary64 distribute-lft-out_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
0710
11110
22210
34110
46510
510410
615910
726410
833010
934410
1034410
1130110

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite60.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64 cancel-sign-sub-inv_binary64
10×*-un-lft-identity_binary64
add-cube-cbrt_binary64 distribute-rgt-in_binary64 associate-+r+_binary64 distribute-lft-in_binary64
associate-*r*_binary64
add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sub-neg_binary64
associate-*l*_binary64
associate-*r/_binary64
sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 flip3--_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
2 → 49
Calls

2 calls:

7.0ms
(*.f64 y (-.f64 z x))
6.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 655 to 182 computations (72.2% saved)

series77.0ms (3.2%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

41.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
23.0ms
(*.f64 y (-.f64 z x))
Compiler

Compiled 466 to 358 computations (23.2% saved)

simplify89.0ms (3.7%)

Algorithm
egg-herbie
Rules
518×neg-mul-1_binary64
445×distribute-rgt-in_binary64
433×distribute-lft-in_binary64
283×distribute-rgt-neg-out_binary64
262×exp-prod_binary64
260×unsub-neg_binary64
254×distribute-lft-neg-out_binary64
196×*-commutative_binary64
156×times-frac_binary64
150×associate--r+_binary64
145×cancel-sign-sub-inv_binary64
130×distribute-rgt-neg-in_binary64
122×distribute-neg-in_binary64
114×associate--l+_binary64
102×sub-neg_binary64
100×exp-sum_binary64
88×neg-sub0_binary64
86×distribute-lft-neg-in_binary64 associate-*l*_binary64
74×distribute-rgt-out_binary64
73×associate-*r*_binary64
70×exp-diff_binary64
65×sqr-pow_binary64 associate-+l+_binary64
54×cube-prod_binary64
53×associate-+r+_binary64
51×distribute-rgt-out--_binary64
50×swap-sqr_binary64
48×div-sub_binary64
39×+-commutative_binary64
37×*-lft-identity_binary64
34×log-prod_binary64 *-rgt-identity_binary64
24×remove-double-neg_binary64
20×sqr-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 unswap-sqr_binary64
18×associate-+l-_binary64
16×associate--r-_binary64
15×associate-+r-_binary64
12×+-rgt-identity_binary64
11×cube-neg_binary64 distribute-neg-out_binary64 distribute-lft-out_binary64
10×unpow3_binary64 difference-of-squares_binary64 associate-/l*_binary64 associate--l-_binary64
exp-neg_binary64
sub0-neg_binary64
cube-unmult_binary64 distribute-lft-out--_binary64
mul-1-neg_binary64 pow-sqr_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 distribute-rgt1-in_binary64
cube-mult_binary64 distribute-lft1-in_binary64 associate-*r/_binary64
cancel-sign-sub_binary64 associate-*l/_binary64
pow-plus_binary64
div-exp_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 --rgt-identity_binary64 distribute-frac-neg_binary64 count-2_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 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 /-rgt-identity_binary64 +-lft-identity_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
82 → 54
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101785
1243764
2775764
32409764
44355764
55323764

prune19.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50454
Fresh000
Picked101
Done000
Total51455
Error
0b
Counts
55 → 4
Compiler

Compiled 321 to 122 computations (62% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 z y) x)
0.0b
(+.f64 (+.f64 (*.f64 z y) x) (*.f64 (neg.f64 x) y))

rewrite32.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64
sum-log_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 +-commutative_binary64
distribute-lft-neg-out_binary64 unsub-neg_binary64 associate-+l+_binary64
Counts
2 → 25
Calls

2 calls:

9.0ms
(+.f64 (+.f64 (*.f64 z y) x) (*.f64 (neg.f64 x) y))
4.0ms
(+.f64 (*.f64 z y) x)
Compiler

Compiled 465 to 93 computations (80% saved)

series62.0ms (2.6%)

Error
0b
Counts
2 → 36
Calls

2 calls:

31.0ms
(+.f64 (+.f64 (*.f64 z y) x) (*.f64 (neg.f64 x) y))
23.0ms
(+.f64 (*.f64 z y) x)
Compiler

Compiled 520 to 404 computations (22.3% saved)

simplify86.0ms (3.6%)

Algorithm
egg-herbie
Rules
710×neg-mul-1_binary64
479×distribute-rgt-neg-out_binary64
408×associate-*l*_binary64
396×distribute-lft-neg-out_binary64
375×associate-*r*_binary64
371×unsub-neg_binary64
329×distribute-rgt-in_binary64
296×distribute-lft-in_binary64
250×times-frac_binary64
151×distribute-neg-in_binary64
142×sub-neg_binary64
139×distribute-neg-out_binary64
117×neg-sub0_binary64
115×cancel-sign-sub-inv_binary64
112×exp-prod_binary64
107×cancel-sign-sub_binary64
98×*-commutative_binary64
85×associate-+l+_binary64
75×exp-sum_binary64
64×distribute-rgt-neg-in_binary64
63×sqr-pow_binary64
60×associate-+r+_binary64
56×exp-diff_binary64 cube-prod_binary64
54×unswap-sqr_binary64
50×distribute-lft-neg-in_binary64
44×+-commutative_binary64
36×distribute-rgt-out_binary64
30×associate-+l-_binary64
29×swap-sqr_binary64
26×associate-+r-_binary64
24×distribute-rgt-out--_binary64
22×div-sub_binary64 *-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-out_binary64
18×remove-double-neg_binary64
17×sqr-neg_binary64
15×associate--l+_binary64
13×unpow3_binary64 +-rgt-identity_binary64
11×cube-neg_binary64 sub0-neg_binary64 difference-of-squares_binary64 associate--r+_binary64
10×cube-unmult_binary64 associate--r-_binary64
mul-1-neg_binary64
cube-mult_binary64
exp-neg_binary64 pow-sqr_binary64
distribute-lft-out--_binary64 associate--l-_binary64
prod-exp_binary64
log-prod_binary64 --rgt-identity_binary64
associate-*l/_binary64 associate-*r/_binary64
div-exp_binary64 *-lft-identity_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 associate-/l*_binary64
pow-plus_binary64 1-exp_binary64 exp-1-e_binary64 distribute-lft1-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 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 /-rgt-identity_binary64 +-lft-identity_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 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64
Counts
61 → 48
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067684
1211597
2661576
32713576
44294576
55494576

prune17.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh123
Picked011
Done000
Total48452
Error
0b
Counts
52 → 4
Compiler

Compiled 347 to 100 computations (71.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite58.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1283 to 302 computations (76.5% saved)

series75.0ms (3.1%)

Error
0b
Counts
4 → 12
Calls

4 calls:

20.0ms
(cbrt.f64 y)
18.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
15.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 y)
Compiler

Compiled 532 to 379 computations (28.8% saved)

simplify101.0ms (4.1%)

Algorithm
egg-herbie
Rules
586×log-prod_binary64
416×sqr-pow_binary64
335×associate-*l*_binary64
309×*-commutative_binary64
277×distribute-rgt-neg-in_binary64
257×distribute-lft-neg-in_binary64
227×associate-*r*_binary64
188×exp-prod_binary64
161×log-pow_binary64
149×cube-prod_binary64
128×pow-sqr_binary64
124×unswap-sqr_binary64
111×swap-sqr_binary64
104×associate-/l*_binary64
81×cancel-sign-sub-inv_binary64
75×associate-+l+_binary64
69×associate-+r+_binary64
61×distribute-rgt-in_binary64
60×distribute-lft-out_binary64
57×distribute-lft-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
48×distribute-rgt-out_binary64
45×+-commutative_binary64
43×pow-plus_binary64 rem-sqrt-square_binary64
41×times-frac_binary64 sub-neg_binary64
37×associate-/r/_binary64
35×associate-*r/_binary64
32×unpow3_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64
29×count-2_binary64
27×cube-mult_binary64
24×associate-/r*_binary64
17×log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
11×distribute-rgt-neg-out_binary64
10×unpow1/2_binary64
distribute-lft-neg-out_binary64 distribute-lft1-in_binary64
unpow2_binary64 associate-*l/_binary64
unpow1_binary64
unpow1/3_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_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-rec_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 /-rgt-identity_binary64 remove-double-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 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
85 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056718
197666
2308646
31135632
42034548
53257548
64939548
74873548

prune18.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done011
Total50454
Error
0b
Counts
54 → 4
Compiler

Compiled 474 to 180 computations (62% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)) (*.f64 (neg.f64 x) y))
0.3b
(*.f64 (*.f64 y z) (*.f64 y z))
1.3b
(-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x))
23.9b
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y z) x))

rewrite106.0ms (4.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×pow1_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
17×pow-prod-down_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
12×times-frac_binary64
add-log-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64
difference-of-squares_binary64
associate-/l*_binary64 pow-prod-up_binary64 pow-sqr_binary64
flip3--_binary64 flip--_binary64 associate-/r*_binary64
div-sub_binary64 associate-/l/_binary64 associate-/r/_binary64 pow-plus_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64 pow2_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 distribute-lft-neg-out_binary64 unsub-neg_binary64 flip-+_binary64 associate-+l-_binary64 +-commutative_binary64
Counts
4 → 96
Calls

4 calls:

14.0ms
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)) (*.f64 (neg.f64 x) y))
12.0ms
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
7.0ms
(-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x))
6.0ms
(*.f64 (*.f64 y z) (*.f64 y z))
Compiler

Compiled 2910 to 379 computations (87% saved)

series238.0ms (9.8%)

Error
0b
Counts
4 → 60
Calls

4 calls:

102.0ms
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)) (*.f64 (neg.f64 x) y))
55.0ms
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y z) x))
51.0ms
(-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x))
20.0ms
(*.f64 (*.f64 y z) (*.f64 y z))
Compiler

Compiled 1412 to 1058 computations (25.1% saved)

simplify139.0ms (5.7%)

Algorithm
egg-herbie
Rules
401×distribute-rgt-in_binary64
362×distribute-lft-in_binary64
235×times-frac_binary64
162×associate-*l*_binary64
157×associate-/l/_binary64
133×cancel-sign-sub-inv_binary64
132×div-sub_binary64 associate-*r*_binary64
129×unswap-sqr_binary64
111×distribute-rgt-neg-out_binary64
109×exp-prod_binary64
104×distribute-lft-neg-out_binary64
94×distribute-rgt-neg-in_binary64
85×distribute-lft-neg-in_binary64
79×associate-/l*_binary64
70×sub-neg_binary64
68×*-commutative_binary64
64×exp-sum_binary64
59×sqr-pow_binary64
56×swap-sqr_binary64
54×neg-sub0_binary64
47×log-prod_binary64 neg-mul-1_binary64
44×distribute-rgt-out_binary64
39×cube-prod_binary64
35×+-commutative_binary64
34×distribute-neg-frac_binary64
31×unpow3_binary64
30×log-div_binary64 exp-diff_binary64
28×unsub-neg_binary64
26×distribute-lft-out_binary64
19×distribute-frac-neg_binary64 associate-/r*_binary64
18×cube-mult_binary64
17×associate-*l/_binary64
15×pow-plus_binary64 difference-of-squares_binary64 associate-/r/_binary64
14×cube-div_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64
13×associate-*r/_binary64
cube-unmult_binary64 pow-sqr_binary64
log-pow_binary64 remove-double-neg_binary64 distribute-neg-out_binary64 associate-+l+_binary64
exp-neg_binary64 /-rgt-identity_binary64 associate-+r+_binary64
log-rec_binary64 *-rgt-identity_binary64
cube-neg_binary64 mul-1-neg_binary64 associate-+r-_binary64
unpow2_binary64 *-inverses_binary64
unpow1/2_binary64 unpow1_binary64 sqr-neg_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l+_binary64 associate-+l-_binary64
cancel-sign-sub_binary64 count-2_binary64 associate--r+_binary64
div-exp_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 *-lft-identity_binary64 difference-of-sqr--1_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 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 sub0-neg_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
Counts
156 → 119
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01632956
14452251
215442236
347052035
449892035
549482035

prune48.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done022
Total1194123
Error
0b
Counts
123 → 4
Compiler

Compiled 1604 to 444 computations (72.3% saved)

regimes232.0ms (9.6%)

Accuracy

Total 0.0b remaining (45.5%)

Threshold costs 0.0b (45.5%)

Compiler

Compiled 2139 to 1561 computations (27% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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
0710
11110
21610
31810
41910
51910

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample572.0ms (23.6%)

Algorithm
intervals
Results
188.0ms8000×body128valid
15.0ms503×body128invalid
Compiler

Compiled 69 to 62 computations (10.1% saved)

Profiling

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