Details

Time bar (total: 2.9s)

analyze6.0ms (0.2%)

Algorithm
1×search
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 20 to 16 computations (20% saved)

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify247.0ms (8.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0503929

prune3.0ms (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 38 to 30 computations (21.1% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite53.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_1123
26×associate-*l*_binary64_1042
22×add-exp-log_binary64_1139 times-frac_binary64_1107 add-cbrt-cube_binary64_1137
21×*-un-lft-identity_binary64_1101
20×add-cube-cbrt_binary64_1136
18×frac-times_binary64_1111
17×sqrt-prod_binary64_1117
16×sqrt-div_binary64_1118
15×pow1_binary64_1162
14×flip--_binary64_1076 flip3--_binary64_1105
12×associate-*r*_binary64_1041
10×cbrt-unprod_binary64_1134 prod-exp_binary64_1150 associate-*r/_binary64_1043
9×associate-*l/_binary64_1044
7×pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
3×*-commutative_binary64_1032 add-log-exp_binary64_1140
2×difference-of-squares_binary64_1070 sub-neg_binary64_1094 distribute-lft-in_binary64_1050 div-exp_binary64_1152 cbrt-undiv_binary64_1135 cancel-sign-sub-inv_binary64_1067 distribute-rgt-in_binary64_1051
1×div-inv_binary64_1098
Counts
3 → 114
Calls

3 calls:

20.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))

series198.0ms (7%)

Counts
3 → 9
Calls

3 calls:

86.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
79.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
33.0ms
(*.f64 3 (*.f64 v v))

simplify93.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051333367

prune261.0ms (9.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh000
Picked011
Done000
Total1222124
Error
0b
Counts
124 → 2
Compiler

Compiled 3437 to 2563 computations (25.4% saved)

localize30.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32))) (-.f64 1 (*.f64 v v)))
0.0b
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32)))
0.0b
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32))
0.2b
(*.f64 3 (*.f64 v v))

rewrite73.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
25×associate-*l*_binary64_1042
24×add-exp-log_binary64_1139
16×add-sqr-sqrt_binary64_1123
15×add-cbrt-cube_binary64_1137
13×*-un-lft-identity_binary64_1101 prod-exp_binary64_1150
12×add-cube-cbrt_binary64_1136 associate-*l/_binary64_1044
11×pow1_binary64_1162
10×cube-div_binary64_1130 sqrt-div_binary64_1118
8×flip--_binary64_1076 flip3--_binary64_1105 cbrt-div_binary64_1133
7×cbrt-unprod_binary64_1134 associate-*r*_binary64_1041
6×cube-prod_binary64_1129 unpow-prod-down_binary64_1180 sqrt-prod_binary64_1117
4×frac-times_binary64_1111 add-log-exp_binary64_1140 pow-prod-down_binary64_1172
3×*-commutative_binary64_1032
2×pow-exp_binary64_1169 difference-of-squares_binary64_1070 sub-neg_binary64_1094 distribute-lft-in_binary64_1050 associate-*r/_binary64_1043 unswap-sqr_binary64_1069 cancel-sign-sub-inv_binary64_1067 pow-to-exp_binary64_1170 distribute-rgt-in_binary64_1051 cbrt-prod_binary64_1132
1×cube-mult_binary64_1131 pow1/3_binary64_1183 unpow3_binary64_1167 sqr-pow_binary64_1073
Counts
4 → 100
Calls

4 calls:

23.0ms
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32))
17.0ms
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32)))
12.0ms
(*.f64 3 (*.f64 v v))
10.0ms
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32))) (-.f64 1 (*.f64 v v)))

series496.0ms (17.4%)

Counts
4 → 12
Calls

4 calls:

213.0ms
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32))) (-.f64 1 (*.f64 v v)))
171.0ms
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32)))
95.0ms
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3) (*.f64 (sqrt.f64 2) 1/32))
17.0ms
(*.f64 3 (*.f64 v v))

simplify114.0ms (4%)

Algorithm
1×egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049513321
149513321

prune247.0ms (8.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done011
Total1122114
Error
0b
Counts
114 → 2
Compiler

Compiled 3558 to 2713 computations (23.7% saved)

regimes34.0ms (1.2%)

Accuracy

Total 0.0b remaining (67.5%)

Threshold costs 0.0b (67.5%)

Compiler

Compiled 274 to 222 computations (19% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05429
15429

end0.0ms (0%)

sample966.0ms (33.9%)

Algorithm
1×intervals
Results
623.0ms8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 115 to 94 computations (18.3% saved)

Profiling

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