Details

Time bar (total: 3.2s)

analyze591.0ms (18.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.8%)

Algorithm
intervals
Results
12.0ms256×body80valid
2.0ms54×body80invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify14.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
03013
13013

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) z)
0.0b
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)

rewrite20.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 associate-*r*_binary64 associate-*l*_binary64 flip-+_binary64
+-commutative_binary64 associate-*l/_binary64 sum-log_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 42
Calls

3 calls:

8.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
7.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
4.0ms
(+.f64 (*.f64 x y) z)

series33.0ms (1%)

Counts
3 → 9
Calls

3 calls:

18.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
10.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
6.0ms
(+.f64 (*.f64 x y) z)

simplify49.0ms (1.5%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04968719
14968719

prune45.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45651
Fresh000
Picked011
Done000
Total45752

Merged error: 0.0b

Counts
52 → 7
Compiler

Compiled 844 to 223 computations (73.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series63.0ms (2%)

Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
15.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 y)

simplify75.0ms (2.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04942588
14942588

prune61.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh145
Picked011
Done011
Total83992

Merged error: 0.0b

Counts
92 → 9
Compiler

Compiled 1728 to 536 computations (69% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (*.f64 (+.f64 (*.f64 x y) z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
0.4b
(*.f64 (+.f64 (*.f64 x y) z) (cbrt.f64 (*.f64 y y)))
0.6b
(cbrt.f64 y)
23.9b
(cbrt.f64 (*.f64 y y))

rewrite25.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
11×pow1_binary64 add-exp-log_binary64
10×associate-*r*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 cbrt-prod_binary64
add-cbrt-cube_binary64
associate-*l/_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
flip3-+_binary64 pow1/3_binary64 unswap-sqr_binary64 flip-+_binary64 *-commutative_binary64
Counts
4 → 65
Calls

4 calls:

12.0ms
(*.f64 (*.f64 (+.f64 (*.f64 x y) z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
8.0ms
(*.f64 (+.f64 (*.f64 x y) z) (cbrt.f64 (*.f64 y y)))
3.0ms
(cbrt.f64 (*.f64 y y))
1.0ms
(cbrt.f64 y)

series75.0ms (2.4%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(*.f64 (+.f64 (*.f64 x y) z) (cbrt.f64 (*.f64 y y)))
14.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 (*.f64 y y))
13.0ms
(*.f64 (*.f64 (+.f64 (*.f64 x y) z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))

simplify116.0ms (3.6%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
049141137
149141137

prune62.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh066
Picked101
Done022
Total761086

Merged error: 0b

Counts
86 → 10
Compiler

Compiled 1644 to 460 computations (72% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y y))) (sqrt.f64 (cbrt.f64 (*.f64 y y))))
0.6b
(cbrt.f64 y)
23.9b
(cbrt.f64 (*.f64 y y))
23.9b
(cbrt.f64 (*.f64 y y))

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod_binary64
29×add-sqr-sqrt_binary64
19×pow1_binary64
15×cbrt-prod_binary64
14×sqrt-pow1_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64
swap-sqr_binary64 pow1/3_binary64 unswap-sqr_binary64
pow1/2_binary64
associate-*r*_binary64 associate-*l*_binary64
pow-prod-up_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 add-log-exp_binary64 pow-sqr_binary64
cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 89
Calls

4 calls:

8.0ms
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y y))) (sqrt.f64 (cbrt.f64 (*.f64 y y))))
3.0ms
(cbrt.f64 (*.f64 y y))
3.0ms
(cbrt.f64 (*.f64 y y))
1.0ms
(cbrt.f64 y)

series59.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

16.0ms
(cbrt.f64 (*.f64 y y))
14.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 (*.f64 y y))
14.0ms
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y y))) (sqrt.f64 (cbrt.f64 (*.f64 y y))))

simplify83.0ms (2.6%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04866743
14866743

prune61.0ms (1.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh077
Picked011
Done022
Total10110111

Merged error: 0b

Counts
111 → 10
Compiler

Compiled 2195 to 750 computations (65.8% saved)

regimes341.0ms (10.7%)

Compiler

Compiled 1114 to 800 computations (28.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample1.3s (40.9%)

Algorithm
intervals
Results
225.0ms8000×body80valid
49.0ms1780×body80invalid
Compiler

Compiled 198 to 144 computations (27.3% saved)

Profiling

Loading profile data...