Details

Time bar (total: 5.2s)

sample91.0ms

Algorithm
intervals
Results
53.0ms129×body1280valid
16.0ms77×body640valid
5.0ms259×body80nan
3.0ms23×body320valid
2.0ms23×body160valid
0.0ms4×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.9b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
20.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
115.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify132.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.9b
(log (+ 1.0 eps))
6.0b
(log (- 1.0 eps))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log associate--l+
4×associate--r+
3×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 61
Calls
3 calls:
18.0ms
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
4.0ms
(log (+ 1.0 eps))
5.0ms
(log (- 1.0 eps))

series334.0ms

Counts
3 → 9
Calls
3 calls:
250.0ms
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
44.0ms
(log (+ 1.0 eps))
40.0ms
(log (- 1.0 eps))

simplify75.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0310433
1801413
23015395
35001395

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps))
0.0b
(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
0.1b
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b
(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
201×associate-*r*
173×add-sqr-sqrt
128×unpow-prod-down
108×add-cube-cbrt *-un-lft-identity
80×cube-prod
52×sqr-pow
50×add-exp-log
27×unswap-sqr
24×cube-mult unpow3
20×prod-exp
18×div-exp
14×add-cbrt-cube
12×pow-to-exp pow-exp
11×add-log-exp
8×pow1
6×associate-*l*
4×associate-*r/ sum-log cbrt-unprod
3×flip3-+ flip-+
2×cbrt-undiv +-commutative pow-prod-down frac-add *-commutative div-inv
1×associate-+r+
Counts
4 → 304
Calls
4 calls:
14.0ms
(+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps))
46.0ms
(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
31.0ms
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
58.0ms
(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

series453.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps))
88.0ms
(+ (* 2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
91.0ms
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
71.0ms
(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify49.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012441997
150021810

prune753.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02712
13812
25012
35412
45412

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s3413×body1280valid
541.0ms2513×body640valid
162.0ms7844×body80nan
156.0ms1244×body320valid
46.0ms611×body160valid
8.0ms219×body80valid