Details

Time bar (total: 1.9s)

analyze446.0ms (23.1%)

Algorithm
search
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
31.2%68.6%0.1%9
46.8%44.5%8.7%10
51.5%39%9.5%11
57.3%32.6%10.1%12
63.8%21.6%14.7%13
66.2%18.7%15.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample22.0ms (1.2%)

Algorithm
intervals
Results
6.0ms256×body128valid
4.0ms22×body128invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify157.0ms (8.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
+-commutative_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 1-exp_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 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-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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-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 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_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
067
187
2167
3167

prune3.0ms (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 5 to 5 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite33.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64
associate-*l/_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 *-commutative_binary64
Counts
1 → 21
Calls

1 calls:

8.0ms
(*.f64 (+.f64 x y) z)
Compiler

Compiled 235 to 73 computations (68.9% saved)

series144.0ms (7.5%)

Error
0b
Counts
1 → 15
Calls

1 calls:

136.0ms
(*.f64 (+.f64 x y) z)
Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify143.0ms (7.4%)

Algorithm
egg-herbie
Rules
398×distribute-rgt-out_binary64
387×associate-+l+_binary64
325×associate-+r+_binary64
260×unswap-sqr_binary64
209×+-commutative_binary64
204×*-commutative_binary64
169×sqr-pow_binary64
163×cancel-sign-sub-inv_binary64
162×associate-*l*_binary64
148×distribute-rgt-in_binary64 distribute-lft-in_binary64
119×distribute-lft-out--_binary64
118×associate-*r*_binary64
116×associate-*l/_binary64
113×distribute-rgt-neg-in_binary64 distribute-rgt-out--_binary64
97×pow-sqr_binary64
96×associate-*r/_binary64
86×sub-neg_binary64 distribute-lft-neg-in_binary64
75×associate-/l/_binary64
74×associate-/l*_binary64
69×distribute-lft-out_binary64
61×exp-prod_binary64
60×distribute-neg-frac_binary64
58×distribute-lft-neg-out_binary64
51×unsub-neg_binary64
50×*-rgt-identity_binary64
49×distribute-rgt-neg-out_binary64
47×*-lft-identity_binary64
44×times-frac_binary64
43×neg-mul-1_binary64
42×neg-sub0_binary64
37×log-prod_binary64
35×associate-/r/_binary64
34×cube-prod_binary64 distribute-neg-in_binary64
27×cube-div_binary64
26×distribute-rgt1-in_binary64
25×log-div_binary64
24×exp-sum_binary64
23×associate-+l-_binary64
22×swap-sqr_binary64
20×pow-plus_binary64 associate-/r*_binary64 associate--r+_binary64
16×exp-sqrt_binary64 sub0-neg_binary64
14×log-pow_binary64 exp-to-pow_binary64
13×+-rgt-identity_binary64 count-2_binary64
12×cube-unmult_binary64 distribute-neg-out_binary64
10×associate-+r-_binary64
+-lft-identity_binary64 distribute-lft1-in_binary64
exp-lft-sqr_binary64
log-rec_binary64 unpow3_binary64 pow-base-1_binary64 /-rgt-identity_binary64
cube-mult_binary64 div-sub_binary64 remove-double-neg_binary64 difference-of-squares_binary64
prod-exp_binary64 exp-diff_binary64 rem-log-exp_binary64 --rgt-identity_binary64 *-inverses_binary64 remove-double-div_binary64 cancel-sign-sub_binary64
exp-lft-cube_binary64 1-exp_binary64 exp-1-e_binary64 div0_binary64 +-inverses_binary64 rgt-mult-inverse_binary64 associate--r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-exp-log_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 mul0-rgt_binary64 mul0-lft_binary64 lft-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-frac-neg_binary64 associate--l-_binary64 associate--l+_binary64
Counts
36 → 51
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045361
1110295
2339295
3823295
41119295
52127295
63133295

prune29.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New50151
Fresh000
Picked011
Done000
Total50252
Error
0b
Counts
52 → 2
Compiler

Compiled 483 to 96 computations (80.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.7%)

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 distribute-lft-out_binary64 +-commutative_binary64
Counts
1 → 12
Calls

1 calls:

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

Compiled 183 to 43 computations (76.5% saved)

series149.0ms (7.7%)

Error
0b
Counts
1 → 15
Calls

1 calls:

143.0ms
(+.f64 (*.f64 z y) (*.f64 z x))
Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify121.0ms (6.3%)

Algorithm
egg-herbie
Rules
547×distribute-rgt-out_binary64
356×distribute-rgt-out--_binary64
342×distribute-rgt-in_binary64
307×distribute-lft-in_binary64
264×associate-*l*_binary64
250×unswap-sqr_binary64
234×sub-neg_binary64
222×cancel-sign-sub-inv_binary64
180×distribute-rgt-neg-in_binary64
179×distribute-lft-out_binary64 associate-*r*_binary64
175×+-commutative_binary64
155×*-commutative_binary64
142×distribute-lft-neg-in_binary64
134×unsub-neg_binary64
109×sqr-pow_binary64
108×distribute-lft-out--_binary64
103×distribute-lft-neg-out_binary64
94×associate-+l+_binary64 associate-+r+_binary64
82×distribute-rgt-neg-out_binary64
74×pow-sqr_binary64
73×associate-+l-_binary64
71×distribute-neg-in_binary64
69×neg-mul-1_binary64
64×associate-/l/_binary64
58×neg-sub0_binary64 cancel-sign-sub_binary64
56×associate-+r-_binary64
55×associate--r+_binary64
33×sub0-neg_binary64
31×exp-prod_binary64 distribute-rgt1-in_binary64
30×count-2_binary64
29×distribute-neg-out_binary64
25×+-rgt-identity_binary64
18×exp-sum_binary64
17×swap-sqr_binary64
16×remove-double-neg_binary64 associate--l+_binary64
14×associate-/l*_binary64
13×associate-*r/_binary64
12×mul0-rgt_binary64 mul0-lft_binary64 associate--r-_binary64
10×times-frac_binary64
unpow3_binary64 cube-unmult_binary64 +-lft-identity_binary64
cube-prod_binary64 --rgt-identity_binary64
difference-of-squares_binary64
cube-mult_binary64 /-rgt-identity_binary64
pow-plus_binary64
exp-diff_binary64 associate-*l/_binary64 associate--l-_binary64
log-prod_binary64 associate-/r/_binary64
prod-exp_binary64 exp-neg_binary64 1-exp_binary64 cube-neg_binary64 sqr-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 *-inverses_binary64 +-inverses_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 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-1-e_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 div-sub_binary64 mul-1-neg_binary64 div0_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 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-/r*_binary64
Counts
27 → 49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033257
1109239
2389236
31050233
42493233
53620233

prune40.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done011
Total49251
Error
0b
Counts
51 → 2
Compiler

Compiled 860 to 205 computations (76.2% saved)

regimes78.0ms (4%)

Accuracy

Total 0.0b remaining (71.7%)

Threshold costs 0.0b (71.7%)

Compiler

Compiled 227 to 256 computations (-12.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64 +-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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
067
187
Proof
(* f64 (+ f64 h0 h1) h2)

end0.0ms (0%)

sample539.0ms (27.9%)

Algorithm
intervals
Results
167.0ms8000×body128valid
11.0ms569×body128invalid
Compiler

Compiled 52 to 58 computations (-11.5% saved)

Profiling

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