Details

Time bar (total: 6.2s)

analyze1.4s (22.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14
Compiler

Compiled 18 to 18 computations (0% saved)

sample36.0ms (0.6%)

Algorithm
intervals
Results
12.0ms256×body80valid
4.0ms85×body80invalid
Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify63.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
078925
178925

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.0b

Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.2b
(*.f64 (*.f64 y 9) z)
6.8b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite29.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
23×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
12×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64 associate-*r*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64 *-commutative_binary64
sum-log_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 associate-+l+_binary64 associate-+l-_binary64 +-commutative_binary64 flip-+_binary64
Counts
4 → 71
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
5.0ms
(*.f64 (*.f64 y 9) z)
5.0ms
(*.f64 (*.f64 a 27) b)

series52.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
4.0ms
(*.f64 (*.f64 y 9) z)
4.0ms
(*.f64 (*.f64 a 27) b)

simplify84.0ms (1.4%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050821151

prune111.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New721183
Fresh000
Picked101
Done000
Total731184

Merged error: 0.1b

Counts
84 → 11
Compiler

Compiled 1978 to 1341 computations (32.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 y (*.f64 9 z))
0.2b
(*.f64 (*.f64 a 27) b)
6.8b
(*.f64 (*.f64 y (*.f64 9 z)) t)

rewrite27.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
23×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
12×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64
*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64
*-commutative_binary64
sum-log_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 associate-+l+_binary64 associate-+l-_binary64 +-commutative_binary64 flip-+_binary64
Counts
4 → 71
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 y (*.f64 9 z)) t)
5.0ms
(*.f64 y (*.f64 9 z))
5.0ms
(*.f64 (*.f64 a 27) b)

series53.0ms (0.9%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 y (*.f64 9 z)) t)
4.0ms
(*.f64 (*.f64 a 27) b)
4.0ms
(*.f64 y (*.f64 9 z))

simplify83.0ms (1.3%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
050311152

prune91.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New81283
Fresh3710
Picked011
Done000
Total841094

Merged error: 0.0b

Counts
94 → 10
Compiler

Compiled 1923 to 1294 computations (32.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
6.8b
(*.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 9 z) (cbrt.f64 y))) t)

rewrite23.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
33×pow1_binary64 add-exp-log_binary64
23×add-cbrt-cube_binary64
22×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64
associate-*r*_binary64 pow1/3_binary64
associate-*l*_binary64 *-commutative_binary64
Counts
4 → 66
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 9 z) (cbrt.f64 y))) t)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series54.0ms (0.9%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 y)
11.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 9 z) (cbrt.f64 y))) t)

simplify82.0ms (1.3%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04905668
14905668

prune86.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh088
Picked101
Done011
Total781088

Merged error: 0.0b

Counts
88 → 10
Compiler

Compiled 2062 to 1255 computations (39.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
2.4b
(*.f64 (*.f64 (cbrt.f64 y) (*.f64 9 z)) t)
3.1b
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 9 z)) t))

rewrite28.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
45×pow1_binary64 add-exp-log_binary64
31×add-cbrt-cube_binary64
30×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
cbrt-prod_binary64
add-log-exp_binary64 associate-*r*_binary64
pow1/3_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 77
Calls

4 calls:

14.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 9 z)) t))
8.0ms
(*.f64 (*.f64 (cbrt.f64 y) (*.f64 9 z)) t)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series71.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(*.f64 (*.f64 (cbrt.f64 y) (*.f64 9 z)) t)
19.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 y)
11.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 9 z)) t))

simplify90.0ms (1.5%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04902901
14902901

prune69.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh088
Picked011
Done011
Total881199

Merged error: 0.0b

Counts
99 → 11
Compiler

Compiled 2149 to 1232 computations (42.7% saved)

regimes1.4s (22%)

Compiler

Compiled 3818 to 3638 computations (4.7% saved)

bsearch1.0ms (0%)

Compiler

Compiled 5 to 9 computations (-80% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
016299
116299

end0.0ms (0%)

sample2.2s (35.8%)

Algorithm
intervals
Results
377.0ms8000×body80valid
147.0ms3041×body80invalid
Compiler

Compiled 373 to 333 computations (10.7% saved)

Profiling

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