Details

Time bar (total: 11.9s)

sample67.0ms

Algorithm
intervals
Results
37.0ms781×body80nan
14.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.0b
(log (- (/ 1.0 x) 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
39×prod-diff
38×times-frac
13×fma-neg
6×log-prod
4×div-inv add-log-exp difference-of-squares
3×pow1 add-exp-log
2×expm1-log1p-u log-div flip3-- add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 88
Calls
2 calls:
14.0ms
(- (/ 1.0 x) 1.0)
10.0ms
(log (- (/ 1.0 x) 1.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (/ 1.0 x) 1.0)
59.0ms
(log (- (/ 1.0 x) 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0320832
11090531
25001477

prune139.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.0b
(log (- (/ 1.0 x) 1.0))
0.0b
(log (log (- (/ 1.0 x) 1.0)))
1.1b
(exp (log (log (- (/ 1.0 x) 1.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×*-un-lft-identity
49×add-cube-cbrt
39×prod-diff
38×times-frac
14×log-prod
13×fma-neg
9×pow1
6×add-exp-log add-log-exp
5×log-pow
4×expm1-log1p-u exp-prod exp-sum add-cbrt-cube log1p-expm1-u div-inv difference-of-squares
2×log-div flip3-- rem-log-exp flip-- distribute-lft-out--
1×sub-neg diff-log rem-exp-log
Counts
4 → 121
Calls
4 calls:
14.0ms
(- (/ 1.0 x) 1.0)
10.0ms
(log (- (/ 1.0 x) 1.0))
7.0ms
(log (log (- (/ 1.0 x) 1.0)))
2.0ms
(exp (log (log (- (/ 1.0 x) 1.0))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ 1.0 x) 1.0)
64.0ms
(log (- (/ 1.0 x) 1.0))
142.0ms
(log (log (- (/ 1.0 x) 1.0)))
63.0ms
(exp (log (log (- (/ 1.0 x) 1.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04541123
11611794
25001734

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (log (log (- (/ 1.0 x) 1.0))))
0.6b
(cbrt (log (log (- (/ 1.0 x) 1.0))))
0.7b
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
1.0b
(pow (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow1
7×pow-unpow add-log-exp
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×unpow-prod-down pow-pow log-pow
2×exp-prod exp-to-pow pow1/3
1×pow-to-exp pow-exp rem-exp-log sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (log (log (- (/ 1.0 x) 1.0))))
1.0ms
(cbrt (log (log (- (/ 1.0 x) 1.0))))
1.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
3.0ms
(pow (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))

series3.6s

Counts
4 → 12
Calls
4 calls:
516.0ms
(cbrt (log (log (- (/ 1.0 x) 1.0))))
542.0ms
(cbrt (log (log (- (/ 1.0 x) 1.0))))
881.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
1.6s
(pow (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05941658
126301505
250011495

prune313.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
0.7b
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
0.7b
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
1.0b
(pow (* (* (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))) (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))))) (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1
15×pow-pow
10×add-exp-log add-log-exp
9×pow1/3 pow-prod-up
7×pow-unpow
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-plus
5×pow-prod-down
4×cbrt-prod expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×exp-prod exp-to-pow pow-exp prod-exp pow-sqr rem-exp-log
2×pow2
1×pow-to-exp unpow-prod-down pow3 log-pow sqr-pow
Counts
4 → 73
Calls
4 calls:
1.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
2.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
1.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
16.0ms
(pow (* (* (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))) (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))))) (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))

series4.5s

Counts
4 → 12
Calls
4 calls:
877.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
994.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
905.0ms
(exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))
1.7s
(pow (* (* (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0))))))) (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))))) (cbrt (exp (* (cbrt (log (log (- (/ 1.0 x) 1.0)))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))))) (cbrt (log (log (- (/ 1.0 x) 1.0)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04772710
120172235
250022233

prune349.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s23922×body80nan
459.0ms8000×body80valid