Details

Time bar (total: 2.1s)

analyze268.0ms (12.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
32.8%67.1%0.1%9
43.7%43.7%12.6%10
46.8%40.6%12.6%11
52.7%34.7%12.6%12
58.5%22.6%18.9%13
60.5%20.7%18.9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms22×body80invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify12.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01310
11310

prune4.0ms (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 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y z) z))
0.2b
(*.f64 (*.f64 y z) z)

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
flip3-+_binary64 associate-*l*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 29
Calls

2 calls:

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

series32.0ms (1.5%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(*.f64 (*.f64 y z) z)
16.0ms
(+.f64 x (*.f64 (*.f64 y z) z))

simplify129.0ms (6%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
04871376
14871376

prune28.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh000
Picked011
Done000
Total31536

Merged error: 0.0b

Counts
36 → 5
Compiler

Compiled 419 to 127 computations (69.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite11.0ms (0.5%)

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 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series67.0ms (3.1%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(cbrt.f64 z)
18.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
14.0ms
(cbrt.f64 z)
14.0ms
(cbrt.f64 z)

simplify78.0ms (3.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04942588
14942588

prune52.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh033
Picked101
Done011
Total84690

Merged error: 0.0b

Counts
90 → 6
Compiler

Compiled 1493 to 492 computations (67% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (*.f64 z z)))
11.9b
(*.f64 y (*.f64 z z))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 prod-exp_binary64
flip3-+_binary64 associate-*r*_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 y (*.f64 z z))
4.0ms
(+.f64 x (*.f64 y (*.f64 z z)))

series22.0ms (1%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(+.f64 x (*.f64 y (*.f64 z z)))
7.0ms
(*.f64 y (*.f64 z z))

simplify47.0ms (2.2%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04997388
14997388

prune26.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh044
Picked011
Done011
Total36642

Merged error: 0.0b

Counts
42 → 6
Compiler

Compiled 444 to 150 computations (66.2% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 (*.f64 y z) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
0.3b
(*.f64 (*.f64 y z) (cbrt.f64 (*.f64 z z)))
0.6b
(cbrt.f64 z)
26.6b
(cbrt.f64 (*.f64 z z))

rewrite20.0ms (1%)

Algorithm
rewrite-expression-head
Rules
18×pow1_binary64 add-exp-log_binary64
11×add-cbrt-cube_binary64
10×associate-*r*_binary64
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
pow1/3_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 63
Calls

4 calls:

9.0ms
(*.f64 (*.f64 (*.f64 y z) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
6.0ms
(*.f64 (*.f64 y z) (cbrt.f64 (*.f64 z z)))
3.0ms
(cbrt.f64 (*.f64 z z))
1.0ms
(cbrt.f64 z)

series59.0ms (2.7%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (*.f64 y z) (cbrt.f64 (*.f64 z z)))
15.0ms
(cbrt.f64 z)
14.0ms
(cbrt.f64 (*.f64 z z))
10.0ms
(*.f64 (*.f64 (*.f64 y z) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))

simplify99.0ms (4.6%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04894664
14894664

prune39.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New73275
Fresh033
Picked011
Done022
Total73881

Merged error: 0.0b

Counts
81 → 8
Compiler

Compiled 1048 to 417 computations (60.2% saved)

regimes209.0ms (9.7%)

Compiler

Compiled 600 to 470 computations (21.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample880.0ms (40.9%)

Algorithm
intervals
Results
183.0ms8000×body80valid
15.0ms701×body80invalid
Compiler

Compiled 129 to 102 computations (20.9% saved)

Profiling

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