Details

Time bar (total: 3.5s)

analyze340.0ms

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
6.1%20.4%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.2%16.6%74.3%14

sample46.0ms

Algorithm
intervals
Results
14.0ms195×body80valid
8.0ms21×body640valid
4.0ms5×body1280valid
4.0ms17×body320valid
3.0ms18×body160valid
1.0ms15×body80nan
0.0ms4×body80invalid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (124.0ms)

IterNodesCost
0521017

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
0.1b
(*.f64 (-.f64 x 1.0) (log.f64 y))
4.8b
(log.f64 (-.f64 1.0 y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
11×log-prod_binary64
8×add-log-exp_binary64 add-cube-cbrt_binary64
7×pow1_binary64
6×add-exp-log_binary64
5×add-cbrt-cube_binary64 associate-*l*_binary64
4×associate-*r*_binary64
3×flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
2×diff-log_binary64 log-pow_binary64 log-div_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 sub-neg_binary64 cbrt-unprod_binary64 rem-log-exp_binary64 unswap-sqr_binary64 prod-exp_binary64 associate--l+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 60
Calls
3 calls:
12.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
7.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
6.0ms
(log.f64 (-.f64 1.0 y))

series45.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
8.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
4.0ms
(log.f64 (-.f64 1.0 y))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04961842
14961842

prune121.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New581169
Fresh000
Picked101
Done000
Total591170

Merged error: 0.0b

Counts
70 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))
0.0b
(*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))
0.0b
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))) t)
0.1b
(*.f64 (-.f64 x 1.0) (log.f64 y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64
26×add-exp-log_binary64 add-cbrt-cube_binary64
23×*-un-lft-identity_binary64
15×associate-*r*_binary64
14×add-cube-cbrt_binary64
13×associate-*l*_binary64
12×pow1_binary64 log-prod_binary64
11×cbrt-unprod_binary64 prod-exp_binary64
9×add-log-exp_binary64
8×flip3--_binary64 flip--_binary64
7×distribute-lft-in_binary64 distribute-rgt-in_binary64 associate--l+_binary64
5×distribute-lft-out--_binary64
4×cbrt-undiv_binary64 unswap-sqr_binary64 difference-of-squares_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
3×pow-prod-down_binary64 sub-neg_binary64 associate-*r/_binary64 *-commutative_binary64
2×diff-log_binary64 log-pow_binary64 times-frac_binary64
1×div-inv_binary64 sum-log_binary64
Counts
4 → 113
Calls
4 calls:
9.0ms
(*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))
14.0ms
(*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))
14.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))) t)
8.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))
12.0ms
(*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))
53.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))) t)
8.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))

simplify65.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049692319
149692319

prune185.0ms

Filtered
81 candidates to 125 candidates (-54.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh01010
Picked011
Done000
Total12511136

Merged error: 0.0b

Counts
136 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y))) (log.f64 (+.f64 1.0 y))))) t)
0.1b
(*.f64 (-.f64 x 1.0) (log.f64 y))
2.5b
(log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y)))
4.6b
(log.f64 (+.f64 1.0 y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
14×log-prod_binary64
10×add-cube-cbrt_binary64
9×add-log-exp_binary64 pow1_binary64
8×add-exp-log_binary64
6×add-cbrt-cube_binary64
5×associate-*l*_binary64
4×associate-*r*_binary64 log-div_binary64
3×flip3--_binary64 log-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 flip--_binary64
2×diff-log_binary64 rem-log-exp_binary64 distribute-lft-out--_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 associate--l+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 74
Calls
4 calls:
16.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y))) (log.f64 (+.f64 1.0 y))))) t)
8.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
4.0ms
(log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y)))
3.0ms
(log.f64 (+.f64 1.0 y))

series73.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(-.f64 (+.f64 (*.f64 (-.f64 x 1.0) (log.f64 y)) (*.f64 (-.f64 z 1.0) (-.f64 (log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y))) (log.f64 (+.f64 1.0 y))))) t)
9.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
7.0ms
(log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y)))
3.0ms
(log.f64 (+.f64 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051481238

prune137.0ms

Filtered
64 candidates to 86 candidates (-34.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh189
Picked101
Done011
Total861197

Merged error: 0.0b

Counts
97 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y))) 3))
0.1b
(*.f64 (-.f64 x 1.0) (log.f64 y))
2.5b
(log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y)))
4.6b
(log.f64 (+.f64 1.0 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
14×log-prod_binary64 cbrt-prod_binary64
13×add-cube-cbrt_binary64
11×pow1_binary64
8×add-exp-log_binary64
6×add-cbrt-cube_binary64
5×log-pow_binary64 associate-*l*_binary64
4×add-log-exp_binary64 associate-*r*_binary64 unpow-prod-down_binary64 cube-prod_binary64 log-div_binary64
3×distribute-lft-in_binary64 distribute-rgt-in_binary64
2×flip3--_binary64 rem-log-exp_binary64 difference-of-squares_binary64 flip--_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 rem-cbrt-cube_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 pow1/3_binary64 sqr-pow_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 flip-+_binary64 unpow3_binary64 *-commutative_binary64 cube-mult_binary64
Counts
4 → 82
Calls
4 calls:
3.0ms
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y))) 3))
7.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
5.0ms
(log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y)))
3.0ms
(log.f64 (+.f64 1.0 y))

series26.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y))) 3))
8.0ms
(*.f64 (-.f64 x 1.0) (log.f64 y))
7.0ms
(log.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 y y)))
3.0ms
(log.f64 (+.f64 1.0 y))

simplify71.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049391018
149391018

prune100.0ms

Filtered
62 candidates to 94 candidates (-51.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh099
Picked011
Done011
Total9411105

Merged error: 0.0b

Counts
105 → 11

regimes489.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010629
110629

end0.0ms

sample1.3s

Algorithm
intervals
Results
413.0ms5887×body80valid
288.0ms783×body640valid
165.0ms236×body1280valid
156.0ms679×body320valid
59.0ms415×body160valid
18.0ms248×body80nan
2.0ms31×body80invalid

Profiling

Loading profile data...