Details

Time bar (total: 5.4s)

analyze8.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample27.0ms (0.5%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify237.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
061713
161713

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 31 to 27 computations (12.9% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 x (+.f64 12 (*.f64 x -9)))

rewrite65.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_16127
pow1_binary64_16166 add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141 add-cube-cbrt_binary64_16140 *-un-lft-identity_binary64_16105 associate-*l*_binary64_16046 associate-*r*_binary64_16045
associate-*r/_binary64_16047
pow-prod-down_binary64_16176 prod-exp_binary64_16154 add-log-exp_binary64_16144 cbrt-unprod_binary64_16138 unswap-sqr_binary64_16073 distribute-rgt-in_binary64_16055 distribute-lft-in_binary64_16054 flip3-+_binary64_16108 flip-+_binary64_16079 *-commutative_binary64_16036
Counts
1 → 22
Calls

1 calls:

11.0ms
(*.f64 x (+.f64 12 (*.f64 x -9)))
Compiler

Compiled 362 to 285 computations (21.3% saved)

series98.0ms (1.8%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

84.0ms
(*.f64 x (+.f64 12 (*.f64 x -9)))
Compiler

Compiled 137 to 123 computations (10.2% saved)

simplify126.0ms (2.3%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
05313328

prune55.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh011
Picked011
Done000
Total24630
Error
0b
Counts
30 → 6
Compiler

Compiled 453 to 355 computations (21.6% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 12 x) (*.f64 (*.f64 x x) -9))
0.2b
(*.f64 (*.f64 x x) -9)

rewrite73.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_16166 add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
add-log-exp_binary64_16144 add-sqr-sqrt_binary64_16127
pow-prod-down_binary64_16176 prod-exp_binary64_16154 add-cube-cbrt_binary64_16140 cbrt-unprod_binary64_16138 *-un-lft-identity_binary64_16105 associate-*r*_binary64_16045
unswap-sqr_binary64_16073 associate-*l*_binary64_16046 *-commutative_binary64_16036 sum-log_binary64_16196 flip3-+_binary64_16108 flip-+_binary64_16079 +-commutative_binary64_16035
Counts
2 → 30
Calls

2 calls:

11.0ms
(+.f64 (*.f64 12 x) (*.f64 (*.f64 x x) -9))
11.0ms
(*.f64 (*.f64 x x) -9)
Compiler

Compiled 549 to 366 computations (33.3% saved)

series147.0ms (2.7%)

Error
0b
Counts
2 → 9
Calls

2 calls:

96.0ms
(+.f64 (*.f64 12 x) (*.f64 (*.f64 x x) -9))
40.0ms
(*.f64 (*.f64 x x) -9)
Compiler

Compiled 236 to 210 computations (11% saved)

simplify132.0ms (2.5%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
05028405

prune66.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh134
Picked011
Done011
Total39645
Error
0b
Counts
45 → 6
Compiler

Compiled 593 to 433 computations (27% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.2b
(*.f64 (*.f64 x 3) x)

rewrite153.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×pow1_binary64_16166 add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
add-sqr-sqrt_binary64_16127 *-un-lft-identity_binary64_16105
associate-*r*_binary64_16045
add-cube-cbrt_binary64_16140
add-log-exp_binary64_16144
pow-prod-down_binary64_16176 prod-exp_binary64_16154 cbrt-unprod_binary64_16138 associate-*l*_binary64_16046
*-commutative_binary64_16036 associate-*r/_binary64_16047
unswap-sqr_binary64_16073 distribute-rgt-in_binary64_16055 distribute-lft-in_binary64_16054 flip3-+_binary64_16108 flip-+_binary64_16079 distribute-lft-out_binary64_16056 diff-log_binary64_16197 flip3--_binary64_16109 sub-neg_binary64_16098 flip--_binary64_16080 cancel-sign-sub-inv_binary64_16071
Counts
3 → 53
Calls

3 calls:

20.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
10.0ms
(*.f64 (*.f64 x 3) x)
9.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
Compiler

Compiled 1168 to 902 computations (22.8% saved)

series306.0ms (5.7%)

Error
0b
Counts
3 → 18
Calls

3 calls:

144.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
89.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
49.0ms
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 451 to 405 computations (10.2% saved)

simplify106.0ms (2%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05022905

prune124.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New70171
Fresh213
Picked011
Done022
Total72577
Error
0b
Counts
77 → 5
Compiler

Compiled 1139 to 899 computations (21.1% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 -4 (*.f64 3 x))
0.1b
(*.f64 x (+.f64 -4 (*.f64 3 x)))
0.1b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (+.f64 (*.f64 x (+.f64 -4 (*.f64 3 x))) 1) (cbrt.f64 3)))
0.1b
(*.f64 (+.f64 (*.f64 x (+.f64 -4 (*.f64 3 x))) 1) (cbrt.f64 3))

rewrite290.0ms (5.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×pow1_binary64_16166 add-exp-log_binary64_16143
15×add-sqr-sqrt_binary64_16127
13×add-cbrt-cube_binary64_16141
10×pow-prod-down_binary64_16176 prod-exp_binary64_16154 cbrt-unprod_binary64_16138 associate-*r*_binary64_16045
add-cube-cbrt_binary64_16140 *-un-lft-identity_binary64_16105
associate-*l*_binary64_16046
add-log-exp_binary64_16144
cbrt-prod_binary64_16136 flip3-+_binary64_16108 associate-*l/_binary64_16048 flip-+_binary64_16079 associate-*r/_binary64_16047
unswap-sqr_binary64_16073 *-commutative_binary64_16036
distribute-rgt-in_binary64_16055 distribute-lft-in_binary64_16054 sum-log_binary64_16196 +-commutative_binary64_16035
Counts
4 → 81
Calls

4 calls:

28.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (+.f64 (*.f64 x (+.f64 -4 (*.f64 3 x))) 1) (cbrt.f64 3)))
20.0ms
(*.f64 (+.f64 (*.f64 x (+.f64 -4 (*.f64 3 x))) 1) (cbrt.f64 3))
11.0ms
(*.f64 x (+.f64 -4 (*.f64 3 x)))
5.0ms
(+.f64 -4 (*.f64 3 x))
Compiler

Compiled 2265 to 1990 computations (12.1% saved)

series660.0ms (12.3%)

Error
0b
Counts
4 → 30
Calls

4 calls:

273.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (+.f64 (*.f64 x (+.f64 -4 (*.f64 3 x))) 1) (cbrt.f64 3)))
182.0ms
(*.f64 (+.f64 (*.f64 x (+.f64 -4 (*.f64 3 x))) 1) (cbrt.f64 3))
94.0ms
(*.f64 x (+.f64 -4 (*.f64 3 x)))
55.0ms
(+.f64 -4 (*.f64 3 x))
Compiler

Compiled 1294 to 1221 computations (5.6% saved)

simplify150.0ms (2.8%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049761616
149761616

prune235.0ms (4.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done033
Total1115116
Error
0b
Counts
116 → 5
Compiler

Compiled 2202 to 1910 computations (13.3% saved)

regimes416.0ms (7.8%)

Accuracy

Total 0.1b remaining (97.5%)

Threshold costs 0.1b (97.5%)

Compiler

Compiled 2038 to 1739 computations (14.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
016316
116316

end0.0ms (0%)

sample1.8s (33.8%)

Algorithm
intervals
Results
471.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 483 to 413 computations (14.5% saved)

Profiling

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