Details

Time bar (total: 12.9s)

analyze1.3s (10.2%)

Algorithm
1×search
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
0%74.9%25.1%8
6.2%68.6%25.1%9
7.8%67.1%25.1%10
10.1%64.7%25.1%11
14.8%47.6%37.6%12
15.8%36.8%47.4%13
16.6%35.1%48.3%14
Compiler

Compiled 18 to 17 computations (5.6% saved)

sample85.0ms (0.7%)

Algorithm
1×intervals
Results
24.0ms256×body128valid
16.0ms174×body128invalid
12.0ms129×body128nan
Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify467.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (300.0ms)

IterNodesCost
0486425
1486425

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1
Compiler

Compiled 32 to 30 computations (6.3% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b
(sqrt.f64 (exp.f64 t))
0.3b
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite59.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
18×add-exp-log_binary64_21940
14×associate-*r*_binary64_21842
13×add-sqr-sqrt_binary64_21924
10×*-un-lft-identity_binary64_21902 prod-exp_binary64_21951 add-cbrt-cube_binary64_21938 add-cube-cbrt_binary64_21937
7×sqrt-prod_binary64_21918
6×unpow-prod-down_binary64_21981 associate-*l/_binary64_21845 pow1_binary64_21963
4×cbrt-unprod_binary64_21935 associate-*l*_binary64_21843 sqrt-pow1_binary64_21920
3×exp-prod_binary64_21954 add-log-exp_binary64_21941
2×pow-exp_binary64_21970 flip--_binary64_21877 flip3--_binary64_21906 *-commutative_binary64_21833 pow-to-exp_binary64_21971
1×pow1/2_binary64_21982 pow-prod-down_binary64_21973 sqr-pow_binary64_21874 rem-sqrt-square_binary64_21915 unswap-sqr_binary64_21870
Counts
3 → 66
Calls

3 calls:

26.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
19.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
4.0ms
(sqrt.f64 (exp.f64 t))

series624.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

488.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
113.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
22.0ms
(sqrt.f64 (exp.f64 t))

simplify120.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049811443
149811443

prune170.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New69675
Fresh000
Picked011
Done000
Total69776

Merged error: 0.0b

Counts
76 → 7
Compiler

Compiled 1783 to 1041 computations (41.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b
(sqrt.f64 (exp.f64 t))
0.3b
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))
0.4b
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))

rewrite80.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
35×add-exp-log_binary64_21940
22×associate-*r*_binary64_21842 prod-exp_binary64_21951
20×add-cbrt-cube_binary64_21938
19×add-sqr-sqrt_binary64_21924
14×*-un-lft-identity_binary64_21902 add-cube-cbrt_binary64_21937
13×sqrt-prod_binary64_21918
12×associate-*l/_binary64_21845 pow1_binary64_21963
10×cbrt-unprod_binary64_21935
6×unpow-prod-down_binary64_21981
5×associate-*l*_binary64_21843
4×pow-prod-down_binary64_21973 sqrt-pow1_binary64_21920 add-log-exp_binary64_21941
3×pow-exp_binary64_21970 exp-prod_binary64_21954 flip--_binary64_21877 flip3--_binary64_21906 *-commutative_binary64_21833 pow-to-exp_binary64_21971
2×unswap-sqr_binary64_21870
1×pow1/2_binary64_21982 sqr-pow_binary64_21874 rem-sqrt-square_binary64_21915
Counts
4 → 96
Calls

4 calls:

26.0ms
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
21.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))
15.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))
4.0ms
(sqrt.f64 (exp.f64 t))

series723.0ms (5.6%)

Counts
4 → 12
Calls

4 calls:

493.0ms
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
117.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))
88.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))
24.0ms
(sqrt.f64 (exp.f64 t))

simplify150.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
049662102
149662102

prune231.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1053108
Fresh235
Picked011
Done011
Total1078115

Merged error: 0.0b

Counts
115 → 8
Compiler

Compiled 2587 to 1422 computations (45% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (exp.f64 t))
0.3b
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))
0.3b
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2)))

rewrite93.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
25×sqrt-prod_binary64_21918
24×associate-*r*_binary64_21842
21×pow1_binary64_21963
20×add-sqr-sqrt_binary64_21924 add-cbrt-cube_binary64_21938 add-exp-log_binary64_21940
15×*-un-lft-identity_binary64_21902 add-cube-cbrt_binary64_21937
12×associate-*l/_binary64_21845
10×cbrt-unprod_binary64_21935 pow-prod-down_binary64_21973 prod-exp_binary64_21951
5×associate-*l*_binary64_21843
4×sqrt-pow1_binary64_21920 add-log-exp_binary64_21941
3×exp-prod_binary64_21954 flip--_binary64_21877 flip3--_binary64_21906 *-commutative_binary64_21833
2×unswap-sqr_binary64_21870
1×pow1/2_binary64_21982 rem-sqrt-square_binary64_21915
Counts
4 → 95
Calls

4 calls:

32.0ms
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
24.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2)))
16.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))
4.0ms
(sqrt.f64 (exp.f64 t))

series386.0ms (3%)

Counts
4 → 12
Calls

4 calls:

151.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2)))
131.0ms
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
77.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))
27.0ms
(sqrt.f64 (exp.f64 t))

simplify130.0ms (1%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
050801820

prune269.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1043107
Fresh415
Picked011
Done022
Total1087115

Merged error: 0b

Counts
115 → 7
Compiler

Compiled 2891 to 1825 computations (36.9% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))
0.3b
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
0.3b
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite149.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
49×sqrt-prod_binary64_21918
39×associate-*r*_binary64_21842
34×pow1_binary64_21963 add-cbrt-cube_binary64_21938 add-exp-log_binary64_21940
22×add-sqr-sqrt_binary64_21924
20×cbrt-unprod_binary64_21935 pow-prod-down_binary64_21973 associate-*l/_binary64_21845 prod-exp_binary64_21951
18×*-un-lft-identity_binary64_21902 add-cube-cbrt_binary64_21937
6×associate-*l*_binary64_21843
4×flip--_binary64_21877 add-log-exp_binary64_21941 flip3--_binary64_21906 *-commutative_binary64_21833
2×unswap-sqr_binary64_21870
Counts
4 → 117
Calls

4 calls:

45.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
36.0ms
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
26.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
15.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))

series653.0ms (5.1%)

Counts
4 → 12
Calls

4 calls:

262.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
159.0ms
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
150.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
81.0ms
(*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z))

simplify201.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
049622672
149622672

prune361.0ms (2.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1290129
Fresh033
Picked011
Done033
Total1297136

Merged error: 0b

Counts
136 → 7
Compiler

Compiled 3857 to 2578 computations (33.2% saved)

regimes2.0s (15.3%)

Compiler

Compiled 10355 to 9278 computations (10.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03025
13025

end0.0ms (0%)

sample4.5s (34.9%)

Algorithm
1×intervals
Results
855.0ms8000×body128valid
648.0ms6159×body128invalid
486.0ms4716×body128nan
Compiler

Compiled 830 to 742 computations (10.6% saved)

Profiling

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