Details

Time bar (total: 2.3s)

analyze271.0ms (11.7%)

Algorithm
1×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
31.2%68.6%0.1%7
40.6%59.3%0.1%8
43.7%56.2%0.1%9
56.6%43.3%0.1%10
61%37.3%1.7%11
62.1%34.8%3.1%12
68.6%25.6%5.8%13
70.6%22.1%7.4%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
1.0ms47×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify114.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
035710
135710

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
22×*-un-lft-identity_binary64_78
20×add-sqr-sqrt_binary64_100
15×times-frac_binary64_84
12×add-cube-cbrt_binary64_113
5×associate-/l*_binary64_23
4×add-cbrt-cube_binary64_114 add-log-exp_binary64_117 distribute-lft-out--_binary64_30 add-exp-log_binary64_116 difference-of-squares_binary64_47
3×associate-/r*_binary64_22
2×div-sub_binary64_83 associate-/l/_binary64_25 pow1_binary64_139
1×+-commutative_binary64_8 associate-+r-_binary64_12 cbrt-undiv_binary64_112 div-exp_binary64_129 flip-+_binary64_52 flip3--_binary64_82 frac-2neg_binary64_89 div-inv_binary64_75 flip--_binary64_53 clear-num_binary64_77 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 51
Calls

4 calls:

10.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms
(/.f64 (-.f64 y x) z)
0.0ms
(/.f64 (-.f64 y x) z)
0.0ms
(+.f64 x (/.f64 (-.f64 y x) z))

series266.0ms (11.5%)

Counts
2 → 33
Calls

2 calls:

154.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
112.0ms
(/.f64 (-.f64 y x) z)
Compiler

Compiled 389 to 332 computations (14.7% saved)

simplify63.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05014953

prune51.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh000
Picked011
Done000
Total83285
Error
0.0b
Counts
85 → 2
Compiler

Compiled 890 to 198 computations (77.8% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (-.f64 y x) (/.f64 1 z))
0.0b
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
0.0b
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
0.2b
(*.f64 (-.f64 y x) (/.f64 1 z))

rewrite19.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_100
13×associate-*r*_binary64_18 *-un-lft-identity_binary64_78
11×times-frac_binary64_84 add-exp-log_binary64_116
10×add-cube-cbrt_binary64_113
7×add-cbrt-cube_binary64_114
5×associate-*l*_binary64_19
4×add-log-exp_binary64_117 prod-exp_binary64_127 pow1_binary64_139
3×unswap-sqr_binary64_46
2×cbrt-unprod_binary64_111 div-exp_binary64_129 flip3--_binary64_82 frac-times_binary64_88 flip--_binary64_53 associate-*l/_binary64_21
1×+-commutative_binary64_8 *-commutative_binary64_9 cbrt-undiv_binary64_112 flip-+_binary64_52 distribute-lft-out--_binary64_30 un-div-inv_binary64_76 1-exp_binary64_122 div-inv_binary64_75 rec-exp_binary64_128 pow-prod-down_binary64_149 difference-of-squares_binary64_47 associate-*r/_binary64_20 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 53
Calls

4 calls:

11.0ms
(*.f64 (-.f64 y x) (/.f64 1 z))
4.0ms
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
0.0ms
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
0.0ms
(*.f64 (-.f64 y x) (/.f64 1 z))

series267.0ms (11.5%)

Counts
2 → 33
Calls

2 calls:

152.0ms
(+.f64 x (*.f64 (-.f64 y x) (/.f64 1 z)))
115.0ms
(*.f64 (-.f64 y x) (/.f64 1 z))
Compiler

Compiled 389 to 332 computations (14.7% saved)

simplify66.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05457886

prune44.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288
Error
0.0b
Counts
88 → 2
Compiler

Compiled 912 to 261 computations (71.4% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04982
14982

regimes71.0ms (3.1%)

Compiler

Compiled 260 to 294 computations (-13.1% saved)

bsearch0.0ms (0%)

regimes84.0ms (3.6%)

Compiler

Compiled 72 to 120 computations (-66.7% saved)

bsearch25.0ms (1.1%)

Steps
ItersRangePoint
6
0.00022679545432366925
0.003242900189516532
0.003184879307326393
9
-6.857169537437057e+27
-7.74330651404958e+19
-7.933072930762098e+19
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes34.0ms (1.5%)

Compiler

Compiled 42 to 90 computations (-114.3% saved)

bsearch0.0ms (0%)

regimes97.0ms (4.2%)

Compiler

Compiled 27 to 75 computations (-177.8% saved)

bsearch23.0ms (1%)

Steps
ItersRangePoint
6
1.018627913146597e+63
1.2541862895593953e+64
1.0422010520902255e+63
9
-6.857169537437057e+27
-7.74330651404958e+19
-1.2107934098437505e+20
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (1.2%)

Compiler

Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes24.0ms (1.1%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes24.0ms (1%)

Accuracy

Total 0.0b remaining (58.9%)

Threshold costs 0.0b (58.9%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch4.0ms (0.2%)

Compiler

Compiled 51 to 45 computations (11.8% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04166
14166

end0.0ms (0%)

sample680.0ms (29.3%)

Algorithm
1×intervals
Results
197.0ms8000×body128valid
35.0ms1431×body128invalid
Compiler

Compiled 115 to 122 computations (-6.1% saved)

Pareto

0.46836164930047364

Profiling

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