Details

Time bar (total: 2.7s)

analyze277.0ms (10.4%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0484328
1484328
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample19.0ms (0.7%)

Algorithm
1×intervals
Results
14.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify184.0ms (6.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (179.0ms)

IterNodesCost
0484328
1484328

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 56 to 44 computations (21.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite51.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
25×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
22×associate-*r/_binary64_1043
18×flip--_binary64_1076 flip3--_binary64_1105 sqrt-div_binary64_1118
17×add-sqr-sqrt_binary64_1123
16×pow1_binary64_1162
12×*-un-lft-identity_binary64_1101 frac-times_binary64_1111
11×add-cube-cbrt_binary64_1136
10×cbrt-unprod_binary64_1134 prod-exp_binary64_1150 associate-*r*_binary64_1041
9×associate-*l*_binary64_1042
8×associate-/r/_binary64_1047
7×pow-prod-down_binary64_1172
6×associate-*l/_binary64_1044
4×add-log-exp_binary64_1140 sqrt-prod_binary64_1117
3×*-commutative_binary64_1032 associate-/l*_binary64_1046 times-frac_binary64_1107 div-exp_binary64_1152 cbrt-undiv_binary64_1135 unswap-sqr_binary64_1069
2×difference-of-squares_binary64_1070
1×frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-/r*_binary64_1045
Counts
4 → 108
Calls

4 calls:

11.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
10.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
9.0ms
(*.f64 (*.f64 v v) 6)

series217.0ms (8.2%)

Counts
4 → 12
Calls

4 calls:

95.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
55.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
49.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
17.0ms
(*.f64 (*.f64 v v) 6)

simplify64.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050013300

prune178.0ms (6.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh101
Picked101
Done000
Total1202122
Error
0b
Counts
122 → 2
Compiler

Compiled 3403 to 2297 computations (32.5% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 4/3 PI.f64)

rewrite46.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
40×times-frac_binary64_1107
36×add-sqr-sqrt_binary64_1123
31×*-un-lft-identity_binary64_1101
30×add-cube-cbrt_binary64_1136
25×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
16×associate-/l*_binary64_1046
12×flip--_binary64_1076 flip3--_binary64_1105 sqrt-div_binary64_1118
11×pow1_binary64_1162
9×associate-*r*_binary64_1041
8×frac-times_binary64_1111 associate-/r/_binary64_1047
7×div-exp_binary64_1152 cbrt-undiv_binary64_1135
6×cbrt-unprod_binary64_1134 prod-exp_binary64_1150 associate-*l*_binary64_1042
4×add-log-exp_binary64_1140 sqrt-prod_binary64_1117 associate-*r/_binary64_1043 div-inv_binary64_1098 pow-prod-down_binary64_1172 associate-*l/_binary64_1044 associate-/r*_binary64_1045
3×unswap-sqr_binary64_1069
2×*-commutative_binary64_1032 difference-of-squares_binary64_1070 frac-2neg_binary64_1112 clear-num_binary64_1100
1×associate-/l/_binary64_1048
Counts
4 → 132
Calls

4 calls:

15.0ms
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)
3.0ms
(/.f64 4/3 PI.f64)

series165.0ms (6.2%)

Counts
4 → 10
Calls

4 calls:

93.0ms
(/.f64 (/.f64 4/3 PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
54.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
17.0ms
(*.f64 (*.f64 v v) 6)
0.0ms
(/.f64 4/3 PI.f64)

simplify87.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049533504
149533504

prune194.0ms (7.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh011
Picked011
Done000
Total1422144
Error
0b
Counts
144 → 2
Compiler

Compiled 3735 to 2472 computations (33.8% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 PI.f64 (-.f64 1 (*.f64 v v)))
0.0b
(/.f64 4/3 (*.f64 (*.f64 PI.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite30.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
19×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
12×add-sqr-sqrt_binary64_1123
10×pow1_binary64_1162 associate-*r/_binary64_1043
9×*-un-lft-identity_binary64_1101
8×add-cube-cbrt_binary64_1136 associate-/r/_binary64_1047 associate-*r*_binary64_1041
7×cbrt-unprod_binary64_1134 prod-exp_binary64_1150 flip--_binary64_1076 flip3--_binary64_1105
6×sqrt-div_binary64_1118
4×frac-times_binary64_1111 pow-prod-down_binary64_1172 associate-*l*_binary64_1042
3×add-log-exp_binary64_1140 associate-/l*_binary64_1046 times-frac_binary64_1107 div-exp_binary64_1152 cbrt-undiv_binary64_1135
2×*-commutative_binary64_1032 difference-of-squares_binary64_1070 sub-neg_binary64_1094 distribute-lft-in_binary64_1050 unswap-sqr_binary64_1069 cancel-sign-sub-inv_binary64_1067 associate-*l/_binary64_1044 distribute-rgt-in_binary64_1051
1×frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-/r*_binary64_1045
Counts
3 → 76
Calls

3 calls:

11.0ms
(/.f64 4/3 (*.f64 (*.f64 PI.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
6.0ms
(*.f64 PI.f64 (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 (*.f64 v v) 6)

series155.0ms (5.8%)

Counts
3 → 9
Calls

3 calls:

94.0ms
(/.f64 4/3 (*.f64 (*.f64 PI.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
42.0ms
(*.f64 PI.f64 (-.f64 1 (*.f64 v v)))
19.0ms
(*.f64 (*.f64 v v) 6)

simplify70.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049341779
149341779

prune107.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done011
Total85287
Error
0b
Counts
87 → 2
Compiler

Compiled 2134 to 1403 computations (34.3% saved)

regimes54.0ms (2%)

Accuracy

Total 0.0b remaining (85.4%)

Threshold costs 0.0b (85.4%)

Compiler

Compiled 460 to 362 computations (21.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05328
15328

end0.0ms (0%)

sample713.0ms (26.8%)

Algorithm
1×intervals
Results
442.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 133 to 106 computations (20.3% saved)

Profiling

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