Details

Time bar (total: 5.6s)

analyze260.0ms (4.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample43.0ms (0.8%)

Algorithm
1×intervals
Results
12.0ms121×body256valid
9.0ms282×pre128true
8.0ms53×body512valid
4.0ms82×body128valid
1.0ms26×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify416.0ms (7.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (257.0ms)

IterNodesCost
0170724
1170724

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 53.1b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
26.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite42.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_1109
14×add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123
13×*-un-lft-identity_binary64_1088
9×pow1_binary64_1146
8×add-log-exp_binary64_1124
7×add-cube-cbrt_binary64_1120
6×times-frac_binary64_1094 associate-/l*_binary64_1035 difference-of-squares_binary64_1057
4×cbrt-unprod_binary64_1118 prod-exp_binary64_1134
3×associate-*r*_binary64_1030 flip3--_binary64_1092 sqrt-prod_binary64_1103 flip--_binary64_1063 pow-prod-down_binary64_1156 distribute-lft-out--_binary64_1042
2×sub-neg_binary64_1081 associate-/l/_binary64_1037 div-exp_binary64_1136 diff-log_binary64_1177 cbrt-undiv_binary64_1119
1×*-commutative_binary64_1021 clear-num_binary64_1087 frac-2neg_binary64_1099 associate-/r*_binary64_1034 div-sub_binary64_1093 associate-*l*_binary64_1031 div-inv_binary64_1085
Counts
4 → 73
Calls

4 calls:

15.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
6.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series452.0ms (8%)

Counts
4 → 12
Calls

4 calls:

226.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
134.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
63.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
29.0ms
(*.f64 (*.f64 3 a) c)

simplify56.0ms (1%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049251807
149251807

prune135.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New751085
Fresh000
Picked101
Done000
Total761086

Merged error: 2.5b

Counts
86 → 10
Compiler

Compiled 2191 to 1325 computations (39.5% saved)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune14.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 2.5b

Counts
10 → 10
Compiler

Compiled 277 to 194 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite29.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123
17×cbrt-unprod_binary64_1118 prod-exp_binary64_1134
16×div-exp_binary64_1136 cbrt-undiv_binary64_1119
10×add-sqr-sqrt_binary64_1109
8×*-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
7×associate-*r*_binary64_1030 times-frac_binary64_1094
5×pow1_binary64_1146
4×associate-/r*_binary64_1034
3×associate-*l*_binary64_1031 add-log-exp_binary64_1124 div-inv_binary64_1085
2×clear-num_binary64_1087 frac-2neg_binary64_1099 associate-/l*_binary64_1035 associate-*r/_binary64_1032
1×*-commutative_binary64_1021 unswap-sqr_binary64_1056 associate-/l/_binary64_1037 pow-prod-down_binary64_1156
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series122.0ms (2.2%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
38.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
35.0ms
(/.f64 (*.f64 a c) b)

simplify64.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05045877

prune90.0ms (1.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New78987
Fresh088
Picked101
Done011
Total791897

Merged error: 2.4b

Counts
97 → 18
Compiler

Compiled 1484 to 847 computations (42.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 a (sqrt.f64 b))
0.3b
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
0.4b
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
0.4b
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))

rewrite65.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
97×add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123
57×times-frac_binary64_1094
54×add-sqr-sqrt_binary64_1109
46×*-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
44×associate-*r*_binary64_1030
39×cbrt-unprod_binary64_1118 prod-exp_binary64_1134
31×sqrt-prod_binary64_1103 div-exp_binary64_1136 cbrt-undiv_binary64_1119
11×pow1_binary64_1146
7×associate-/r*_binary64_1034 associate-*r/_binary64_1032
4×associate-*l*_binary64_1031 pow-prod-down_binary64_1156 add-log-exp_binary64_1124 associate-/l*_binary64_1035 div-inv_binary64_1085
3×unswap-sqr_binary64_1056 associate-/l/_binary64_1037
2×*-commutative_binary64_1021 clear-num_binary64_1087 frac-2neg_binary64_1099 associate-*l/_binary64_1033 frac-times_binary64_1098
Counts
4 → 173
Calls

4 calls:

15.0ms
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
15.0ms
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))
10.0ms
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
4.0ms
(/.f64 a (sqrt.f64 b))

series358.0ms (6.4%)

Counts
4 → 12
Calls

4 calls:

114.0ms
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))
96.0ms
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
85.0ms
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
63.0ms
(/.f64 a (sqrt.f64 b))

simplify115.0ms (2%)

Algorithm
1×egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049403107
149403107

prune351.0ms (6.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1769185
Fresh31316
Picked101
Done011
Total18023203

Merged error: 2.4b

Counts
203 → 23
Compiler

Compiled 3621 to 1403 computations (61.3% saved)

regimes573.0ms (10.2%)

Compiler

Compiled 7006 to 5096 computations (27.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample2.4s (42.5%)

Algorithm
1×intervals
Results
377.0ms3738×body256valid
271.0ms8749×pre128true
211.0ms1437×body512valid
144.0ms2825×body128valid
38.0ms749×body128nan
Compiler

Compiled 1427 to 1041 computations (27% saved)

Profiling

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