Details

Time bar (total: 6.7s)

sample103.0ms

Algorithm
intervals
Results
48.0ms96×body1280valid
24.0ms87×body640valid
9.0ms242×body80nan
9.0ms49×body320valid
2.0ms17×body160valid
0.0ms7×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: 58.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.8b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

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:
10.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
127.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify134.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune162.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
8×add-sqr-sqrt
4×difference-of-squares
2×pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg unpow-prod-down flip3-- flip3-+ flip-- flip-+ associate--r+ unpow2 sqr-pow
Counts
2 → 32
Calls
2 calls:
38.0ms
(+ (/ (pow eps 2) (pow 1.0 2)) eps)
95.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series169.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (/ (pow eps 2) (pow 1.0 2)) eps)
102.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify98.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0169300
1586281
22737278
35001278

prune92.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.6b
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.6b
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.6b
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
231.0ms
(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
30.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
28.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
31.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series430.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
100.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
101.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
102.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03781564
113941485
250011304

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 6)
0.6b
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.6b
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
29.3b
(pow (pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 6) 1/3)

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
25×unpow-prod-down
21×*-un-lft-identity
16×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt
7×add-exp-log
6×pow-unpow
5×pow1 pow-exp
4×cbrt-div add-cbrt-cube distribute-lft-out add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
2×flip3-+ flip-+
1×unpow1/3
Counts
4 → 78
Calls
4 calls:
60.0ms
(pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 6)
29.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
29.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
121.0ms
(pow (pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 6) 1/3)

series557.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 6)
102.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
103.0ms
(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
199.0ms
(pow (pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) 6) 1/3)

simplify59.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05121103
119731038
25001970

prune272.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3470×body1280valid
705.0ms2464×body640valid
309.0ms8027×body80nan
220.0ms1264×body320valid
65.0ms610×body160valid
9.0ms192×body80valid