Details

Time bar (total: 3.8s)

analyze106.0ms (2.8%)

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%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample23.0ms (0.6%)

Algorithm
1×intervals
Results
16.0ms256×body80valid
0.0ms1×body80nan

simplify41.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0522228

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.6b

Counts
2 → 1

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3.0 (*.f64 v v))
0.3b
(*.f64 PI.f64 t)
0.5b
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))

rewrite41.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
30×add-exp-log_binary64 add-cbrt-cube_binary64
18×associate-*r/_binary64
16×pow1_binary64
13×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×flip3--_binary64 associate-*r*_binary64 associate-/r/_binary64 flip--_binary64 sqrt-div_binary64
7×pow-prod-down_binary64 associate-*l*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 frac-times_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64 associate-*l/_binary64
1×associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 sqrt-prod_binary64
Counts
4 → 94
Calls

4 calls:

17.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))
10.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
6.0ms
(*.f64 3.0 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)

series89.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

53.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))
29.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
4.0ms
(*.f64 3.0 (*.f64 v v))
3.0ms
(*.f64 PI.f64 t)

simplify79.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050171908

prune211.0ms (5.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.3b

Counts
107 → 9

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5.0 (*.f64 v v))
0.3b
(*.f64 PI.f64 t)
0.5b
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 3.0 v) v))))) (-.f64 1.0 (*.f64 v v))))
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 3.0 v) v)))))

rewrite41.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
30×add-exp-log_binary64 add-cbrt-cube_binary64
18×associate-*r/_binary64
16×pow1_binary64
13×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×flip3--_binary64 associate-*r*_binary64 associate-/r/_binary64 flip--_binary64 sqrt-div_binary64
7×pow-prod-down_binary64 associate-*l*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 frac-times_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64 associate-*l/_binary64
1×associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 sqrt-prod_binary64
Counts
4 → 94
Calls

4 calls:

17.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 3.0 v) v))))) (-.f64 1.0 (*.f64 v v))))
10.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 3.0 v) v)))))
6.0ms
(*.f64 5.0 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)

series88.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 3.0 v) v))))) (-.f64 1.0 (*.f64 v v))))
26.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 3.0 v) v)))))
4.0ms
(*.f64 5.0 (*.f64 v v))
3.0ms
(*.f64 PI.f64 t)

simplify64.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050181908

prune190.0ms (5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done000
Total1069115

Merged error: 0.3b

Counts
115 → 9

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3.0 (*.f64 v v))
0.4b
(*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))
0.4b
(*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
0.5b
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))

rewrite49.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
30×associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
16×pow1_binary64
13×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-div_binary64
9×flip3--_binary64 associate-*l*_binary64 flip--_binary64
8×associate-/r/_binary64
7×pow-prod-down_binary64
6×associate-*r*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 frac-times_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64 associate-*l/_binary64
1×associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 sqrt-prod_binary64
Counts
4 → 96
Calls

4 calls:

21.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))
11.0ms
(*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))
8.0ms
(*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
6.0ms
(*.f64 3.0 (*.f64 v v))

series108.0ms (2.9%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))
26.0ms
(*.f64 PI.f64 (*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))
23.0ms
(*.f64 t (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
4.0ms
(*.f64 3.0 (*.f64 v v))

simplify64.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050002144

prune212.0ms (5.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh077
Picked101
Done011
Total10611117

Merged error: 0.3b

Counts
117 → 11

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))))
0.3b
(*.f64 (*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))
0.3b
(*.f64 PI.f64 t)
0.5b
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))

rewrite96.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
368×associate-*r/_binary64
228×cbrt-div_binary64 sqrt-div_binary64
168×frac-times_binary64
142×flip3--_binary64 flip--_binary64
84×associate-*l/_binary64
80×associate-/r/_binary64
69×add-exp-log_binary64
47×add-cbrt-cube_binary64
41×cbrt-unprod_binary64 prod-exp_binary64
36×pow1_binary64
22×pow-prod-down_binary64
12×add-sqr-sqrt_binary64
11×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×cbrt-undiv_binary64 div-exp_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64 cbrt-prod_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×associate-/l/_binary64
1×associate-/r*_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 sqrt-prod_binary64
Counts
4 → 219
Calls

4 calls:

33.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))
18.0ms
(*.f64 (*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))
13.0ms
(*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))))
4.0ms
(*.f64 PI.f64 t)

series149.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

60.0ms
(*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))))
59.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))) (-.f64 1.0 (*.f64 v v))))
27.0ms
(*.f64 (*.f64 (*.f64 PI.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))))
3.0ms
(*.f64 PI.f64 t)

simplify76.0ms (2%)

Algorithm
1×egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
057209994

prune1.0s (27.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2274231
Fresh549
Picked101
Done011
Total2339242

Merged error: 0.2b

Counts
242 → 9

regimes294.0ms (7.8%)

Accuracy

Total 0.3b remaining (70.1%)

Threshold costs 0.3b (70.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09128
19128

end0.0ms (0%)

sample633.0ms (16.7%)

Algorithm
1×intervals
Results
499.0ms8000×body80valid
1.0ms9×body80nan

Profiling

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