Details

Time bar (total: 7.3s)

analyze1.8s (24.2%)

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
12.5%87.4%0.1%8
31.2%68.6%0.1%9
31.2%68.6%0.1%10
31.2%68.6%0.1%11
40.6%59.3%0.1%12
40.6%59.3%0.1%13
40.6%59.3%0.1%14
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample113.0ms (1.6%)

Algorithm
intervals
Results
54.0ms60×body1024valid
25.0ms152×body128valid
18.0ms32×body512valid
4.0ms11×body256valid
1.0msbody2048valid
Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify316.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (227.0ms)

IterNodesCost
0160450
1160450

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 60 to 36 computations (40% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (neg.f64 eh) (tan.f64 t))
2.9b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.9b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.8b
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite29.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
14×add-sqr-sqrt_binary64_782
12×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795
10×associate-*l*_binary64_701
associate-/r*_binary64_704 pow1_binary64_821 times-frac_binary64_766
cbrt-undiv_binary64_794 add-log-exp_binary64_799 distribute-lft-neg-out_binary64_719 div-exp_binary64_811
prod-exp_binary64_809 distribute-lft-neg-in_binary64_717 distribute-frac-neg_binary64_723 associate-*r*_binary64_700 tan-quot_binary64_919 associate-*r/_binary64_702 distribute-rgt-neg-in_binary64_718 cbrt-unprod_binary64_793
frac-2neg_binary64_771 associate-/l/_binary64_707 div-inv_binary64_757 associate-/l*_binary64_705 clear-num_binary64_759
neg-mul-1_binary64_756 unswap-sqr_binary64_728 cos-atan_binary64_939 pow-prod-down_binary64_831 atan-neg_binary64_944 *-commutative_binary64_691 cos-neg_binary64_891
Counts
4 → 82
Calls

4 calls:

6.0ms
(*.f64 (neg.f64 eh) (tan.f64 t))
6.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series361.0ms (5%)

Counts
4 → 12
Calls

4 calls:

125.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
113.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
64.0ms
(*.f64 (neg.f64 eh) (tan.f64 t))
59.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify55.0ms (0.8%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050041195

prune100.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh000
Picked011
Done000
Total93295

Merged error: 0.1b

Counts
95 → 2
Compiler

Compiled 3209 to 595 computations (81.5% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
2.9b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.9b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.8b
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite26.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
12×cbrt-prod_binary64_791
11×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
associate-/r*_binary64_704 times-frac_binary64_766
cbrt-undiv_binary64_794 add-log-exp_binary64_799 div-exp_binary64_811 pow1_binary64_821
distribute-frac-neg_binary64_723 distribute-lft-neg-out_binary64_719 cube-prod_binary64_788 unpow-prod-down_binary64_839
frac-2neg_binary64_771 prod-exp_binary64_809 associate-/l/_binary64_707 cos-atan_binary64_939 div-inv_binary64_757 associate-/l*_binary64_705 tan-quot_binary64_919 associate-*r/_binary64_702 cbrt-unprod_binary64_793 clear-num_binary64_759
pow1/3_binary64_842 cube-mult_binary64_790 rem-cbrt-cube_binary64_784 unpow3_binary64_826 cbrt-div_binary64_792 cube-div_binary64_789 sqr-pow_binary64_732 atan-neg_binary64_944 cos-neg_binary64_891
Counts
4 → 77
Calls

4 calls:

6.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms
(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
2.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series343.0ms (4.7%)

Counts
4 → 12
Calls

4 calls:

118.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
111.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
60.0ms
(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
54.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify57.0ms (0.8%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
053991484

prune111.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done011
Total89291

Merged error: 0.1b

Counts
91 → 2
Compiler

Compiled 3294 to 743 computations (77.4% saved)

regimes109.0ms (1.5%)

Compiler

Compiled 1099 to 738 computations (32.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09253
19253

end0.0ms (0%)

sample3.8s (52.7%)

Algorithm
intervals
Results
1.8s2031×body1024valid
727.0ms4481×body128valid
596.0ms1020×body512valid
176.0ms463×body256valid
8.0msbody2048valid
Compiler

Compiled 258 to 176 computations (31.8% saved)

Profiling

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