Details

Time bar (total: 4.1s)

analyze318.0ms (7.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample51.0ms (1.2%)

Algorithm
intervals
Results
12.0ms34×body640valid
11.0ms164×body80valid
9.0ms14×body1280valid
7.0ms34×body320valid
1.0ms10×body160valid
0.0msbody80nan
Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify41.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
065820
165820

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.7b

Counts
2 → 1
Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b
(*.f64 z (log.f64 (-.f64 1 y)))
0.3b
(*.f64 x (log.f64 y))
4.6b
(log.f64 (-.f64 1 y))

rewrite29.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64 log-prod_binary64
13×add-cube-cbrt_binary64
11×pow1_binary64
add-log-exp_binary64 add-exp-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
associate-*r*_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64
associate-*l*_binary64
distribute-lft-out--_binary64
log-pow_binary64
pow-prod-down_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 log-div_binary64 flip--_binary64 *-commutative_binary64
sub-neg_binary64 rem-log-exp_binary64 associate--l+_binary64 sum-log_binary64
Counts
4 → 88
Calls

4 calls:

8.0ms
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms
(*.f64 z (log.f64 (-.f64 1 y)))
7.0ms
(log.f64 (-.f64 1 y))
5.0ms
(*.f64 x (log.f64 y))

series39.0ms (1%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
9.0ms
(*.f64 z (log.f64 (-.f64 1 y)))
7.0ms
(*.f64 x (log.f64 y))
3.0ms
(log.f64 (-.f64 1 y))

simplify88.0ms (2.2%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049261518
149261518

prune95.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New937100
Fresh000
Picked101
Done000
Total947101

Merged error: 0.0b

Counts
101 → 7
Compiler

Compiled 2012 to 1090 computations (45.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
0.0b
(*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
0.3b
(*.f64 x (log.f64 y))
0.4b
(*.f64 y -1/3)

rewrite35.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
16×pow1_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
10×associate-*l*_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 log-prod_binary64 prod-exp_binary64
add-log-exp_binary64 associate-*r/_binary64 unswap-sqr_binary64 associate--l+_binary64 *-commutative_binary64
sub-neg_binary64
flip3-+_binary64 flip3--_binary64 log-pow_binary64 flip--_binary64 flip-+_binary64
Counts
4 → 92
Calls

4 calls:

13.0ms
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
10.0ms
(*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
5.0ms
(*.f64 x (log.f64 y))
4.0ms
(*.f64 y -1/3)

series39.0ms (1%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
8.0ms
(*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
7.0ms
(*.f64 x (log.f64 y))
2.0ms
(*.f64 y -1/3)

simplify76.0ms (1.9%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049501436
149501436

prune98.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh246
Picked011
Done000
Total1038111

Merged error: 0.0b

Counts
111 → 8
Compiler

Compiled 2759 to 1434 computations (48% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite12.0ms (0.3%)

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 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series65.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

18.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)

simplify76.0ms (1.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04942588
14942588

prune79.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh066
Picked011
Done011
Total84993

Merged error: 0.0b

Counts
93 → 9
Compiler

Compiled 2697 to 1218 computations (54.8% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 (cbrt.f64 x))

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 50
Calls

4 calls:

2.0ms
(cbrt.f64 (cbrt.f64 x))
2.0ms
(cbrt.f64 (cbrt.f64 x))
2.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series118.0ms (2.9%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(cbrt.f64 (cbrt.f64 x))
37.0ms
(cbrt.f64 (cbrt.f64 x))
22.0ms
(cbrt.f64 x)
22.0ms
(cbrt.f64 x)

simplify80.0ms (2%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05120466

prune54.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New60262
Fresh066
Picked101
Done022
Total611071

Merged error: 0.0b

Counts
71 → 10
Compiler

Compiled 2322 to 1043 computations (55.1% saved)

regimes238.0ms (5.8%)

Compiler

Compiled 1052 to 788 computations (25.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04130
14130

end0.0ms (0%)

sample2.4s (58.1%)

Algorithm
intervals
Results
362.0ms5502×body80valid
307.0ms867×body640valid
295.0ms445×body1280valid
166.0ms763×body320valid
58.0ms423×body160valid
18.0ms270×body80nan
1.0ms24×body80invalid
Compiler

Compiled 326 to 246 computations (24.5% saved)

Profiling

Loading profile data...