Details

Time bar (total: 2.2s)

analyze254.0ms (11.4%)

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
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms15×body80invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify26.0ms (1.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
024210
124210

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.4b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 1 (*.f64 y z))
2.2b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64 associate-*r*_binary64 associate-*l*_binary64
flip3--_binary64 associate-*r/_binary64 flip--_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
3.0ms
(-.f64 1 (*.f64 y z))

series15.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

10.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
4.0ms
(-.f64 1 (*.f64 y z))

simplify80.0ms (3.6%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04890459
14890459

prune46.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New31839
Fresh000
Picked101
Done000
Total32840

Merged error: 2.2b

Counts
40 → 8
Compiler

Compiled 586 to 330 computations (43.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))
5.2b
(*.f64 x (neg.f64 (*.f64 y z)))

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
associate-*r*_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
distribute-rgt-neg-out_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 unswap-sqr_binary64 distribute-rgt-neg-in_binary64 prod-exp_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 34
Calls

2 calls:

5.0ms
(*.f64 x (neg.f64 (*.f64 y z)))
3.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))

series16.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

10.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))
7.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

simplify73.0ms (3.3%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04917451
14917451

prune32.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh437
Picked011
Done000
Total43548

Merged error: 0.0b

Counts
48 → 5
Compiler

Compiled 533 to 172 computations (67.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x (neg.f64 y)) z))
4.2b
(*.f64 (*.f64 x (neg.f64 y)) z)

rewrite11.0ms (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
distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
flip3-+_binary64 associate-*l*_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

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

series17.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

10.0ms
(+.f64 x (*.f64 (*.f64 x (neg.f64 y)) z))
7.0ms
(*.f64 (*.f64 x (neg.f64 y)) z)

simplify94.0ms (4.2%)

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04934419
14934419

prune32.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New35237
Fresh033
Picked011
Done011
Total35742

Merged error: 0.0b

Counts
42 → 7
Compiler

Compiled 502 to 172 computations (65.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.2b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (cbrt.f64 (-.f64 1 (*.f64 y z)))))
2.4b
(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.4b
(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.4b
(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite35.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
60×cbrt-div_binary64
34×associate-*r/_binary64
30×flip3--_binary64 flip--_binary64
28×frac-times_binary64
14×associate-*l/_binary64
13×pow1_binary64 add-exp-log_binary64
add-cbrt-cube_binary64 cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64
pow1/3_binary64 associate-*l*_binary64
associate-*r*_binary64 *-commutative_binary64
Counts
4 → 86
Calls

4 calls:

20.0ms
(*.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (cbrt.f64 (-.f64 1 (*.f64 y z)))))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))

series121.0ms (5.4%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
35.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
34.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
12.0ms
(*.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 (-.f64 1 (*.f64 y z)))) (cbrt.f64 (-.f64 1 (*.f64 y z)))))

simplify66.0ms (2.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
052032243

prune85.0ms (3.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done022
Total987105

Merged error: 0.0b

Counts
105 → 7
Compiler

Compiled 3142 to 1666 computations (47% saved)

regimes298.0ms (13.4%)

Compiler

Compiled 682 to 534 computations (21.7% saved)

bsearch1.0ms (0.1%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08840
18840

end0.0ms (0%)

sample864.0ms (38.7%)

Algorithm
intervals
Results
193.0ms8000×body80valid
14.0ms598×body80invalid
Compiler

Compiled 142 to 106 computations (25.4% saved)

Profiling

Loading profile data...