Details

Time bar (total: 1.8s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample22.0ms (1.2%)

Algorithm
intervals
Results
11.0ms256×body128valid
5.0ms256×pre128true
Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify299.0ms (16.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
0510122

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.0b

Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

62.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite9.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
associate--r+_binary64_1047
cancel-sign-sub-inv_binary64_1077
distribute-lft-in_binary64_1060 distribute-rgt-in_binary64_1061
*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 add-cube-cbrt_binary64_1146 add-log-exp_binary64_1150 sub-neg_binary64_1104
add-cbrt-cube_binary64_1147 flip3--_binary64_1115 diff-log_binary64_1203 pow1_binary64_1172 flip--_binary64_1086 add-exp-log_binary64_1149
Counts
1 → 20
Calls

1 calls:

7.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

series116.0ms (6.4%)

Counts
1 → 3
Calls

1 calls:

116.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

simplify53.0ms (2.9%)

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04935542
14935542

prune29.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New22123
Fresh000
Picked101
Done000
Total23124

Merged error: 52.0b

Counts
24 → 1
Compiler

Compiled 550 to 362 computations (34.2% saved)

localize12.0ms (0.7%)

Local error

Found 1 expressions with local error:

23.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite9.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
cancel-sign-sub-inv_binary64_1077
unpow-prod-down_binary64_1190 *-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 add-cube-cbrt_binary64_1146 add-log-exp_binary64_1150
add-cbrt-cube_binary64_1147 flip3--_binary64_1115 diff-log_binary64_1203 pow1_binary64_1172 sqr-pow_binary64_1083 sub-neg_binary64_1104 flip--_binary64_1086 add-exp-log_binary64_1149
Counts
1 → 18
Calls

1 calls:

8.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series81.0ms (4.5%)

Counts
1 → 3
Calls

1 calls:

81.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify68.0ms (3.8%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05082280

prune26.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New20121
Fresh000
Picked011
Done000
Total20222

Merged error: 52.0b

Counts
22 → 2
Compiler

Compiled 468 to 350 computations (25.2% saved)

localize15.0ms (0.9%)

Local error

Found 2 expressions with local error:

1.0b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite20.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_1142
*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 cancel-sign-sub-inv_binary64_1077 add-cube-cbrt_binary64_1146
unpow-prod-down_binary64_1190
add-log-exp_binary64_1150
cube-prod_binary64_1139
cube-div_binary64_1140 add-cbrt-cube_binary64_1147 flip3--_binary64_1115 pow1_binary64_1172 sqr-pow_binary64_1083 cbrt-div_binary64_1143 flip--_binary64_1086 add-exp-log_binary64_1149
cube-mult_binary64_1141 pow1/3_binary64_1193 diff-log_binary64_1203 rem-cbrt-cube_binary64_1135 unpow3_binary64_1177 sub-neg_binary64_1104
Counts
2 → 41
Calls

2 calls:

8.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
8.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series163.0ms (9%)

Counts
2 → 6
Calls

2 calls:

87.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
75.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify47.0ms (2.6%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05004844

prune60.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done011
Total47249

Merged error: 52.0b

Counts
49 → 2
Compiler

Compiled 1105 to 839 computations (24.1% saved)

regimes25.0ms (1.4%)

Compiler

Compiled 160 to 152 computations (5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06127
16127

end0.0ms (0%)

sample736.0ms (40.7%)

Algorithm
intervals
Results
359.0ms8000×body128valid
158.0ms8000×pre128true
Compiler

Compiled 75 to 65 computations (13.3% saved)

Profiling

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