Details

Time bar (total: 2.3s)

sample35.0ms

Algorithm
intervals
Results
16.0ms87×body1280valid
4.0ms43×body640valid
3.0ms176×body80valid
2.0ms27×body320valid
1.0ms16×body160valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* a x))
3.8b
(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
1×sub-neg exp-prod flip3-- exp-to-pow diff-log flip-- rem-exp-log distribute-lft-out-- difference-of-squares
Counts
2 → 24
Calls
2 calls:
1.0ms
(exp (* a x))
4.0ms
(- (exp (* a x)) 1.0)

series47.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(exp (* a x))
35.0ms
(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune70.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 9.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (* a x))
3.8b
(log (exp (- (exp (* a x)) 1.0)))
3.8b
(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity
7×add-log-exp
6×exp-prod log-pow
5×add-cube-cbrt log-prod
4×pow1
3×add-exp-log add-cbrt-cube
2×sub-neg exp-sum distribute-lft-out-- difference-of-squares
1×log-div flip3-- exp-to-pow exp-diff diff-log rem-log-exp flip-- rem-exp-log
Counts
3 → 44
Calls
3 calls:
1.0ms
(exp (* a x))
10.0ms
(log (exp (- (exp (* a x)) 1.0)))
4.0ms
(- (exp (* a x)) 1.0)

series86.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(exp (* a x))
39.0ms
(log (exp (- (exp (* a x)) 1.0)))
35.0ms
(- (exp (* a x)) 1.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0151255
1414234
21256231
35001231

prune109.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* a x))
0.0b
(pow (exp (* a x)) 3)
3.8b
(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
17×*-un-lft-identity
16×difference-of-squares
15×unpow-prod-down cube-prod
11×add-log-exp
9×sqr-pow
7×add-cube-cbrt
5×pow1 add-cbrt-cube distribute-lft-out--
4×add-exp-log
3×pow-unpow exp-prod exp-to-pow pow-pow
2×rem-exp-log
1×difference-cubes cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp flip-- rem-cube-cbrt
Counts
4 → 79
Calls
4 calls:
1.0ms
(exp (* a x))
1.0ms
(exp (* a x))
2.0ms
(pow (exp (* a x)) 3)
18.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

series107.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (* a x))
18.0ms
(exp (* a x))
24.0ms
(pow (exp (* a x)) 3)
53.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0256538
1977520
25001497

prune195.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 9.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* (* a x) 3))
0.2b
(* (* a x) 3)
3.8b
(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-log-exp
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity
5×add-cube-cbrt
4×difference-of-squares
3×difference-cubes exp-prod exp-to-pow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×exp-lft-cube rem-exp-log
1×sub-neg unpow-prod-down flip3-- diff-log cube-prod associate-*l* *-commutative flip-- distribute-lft-out-- sqr-pow
Counts
4 → 59
Calls
4 calls:
1.0ms
(exp (* a x))
2.0ms
(exp (* (* a x) 3))
7.0ms
(* (* a x) 3)
8.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

series100.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (* a x))
22.0ms
(exp (* (* a x) 3))
19.0ms
(* (* a x) 3)
46.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0267373
11107335
25002331

prune165.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 9.1b

regimes141.0ms

Accuracy

94.3% (1.2b remaining)

Error of 9.4b against oracle of 8.3b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05539
15539

end0.0ms

sample901.0ms

Algorithm
intervals
Results
414.0ms2689×body1280valid
130.0ms1271×body640valid
104.0ms5525×body80valid
52.0ms760×body320valid
19.0ms433×body160valid