Details

Time bar (total: 2.9s)

sample31.0ms

Algorithm
intervals
Results
14.0ms96×body1280valid
4.0ms174×body80valid
3.0ms35×body640valid
1.0ms18×body320valid
1.0ms15×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* a x))
3.6b
(- (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)

series49.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(exp (* a x))
37.0ms
(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune68.0ms

Filtered
30 candidates to 20 candidates (66.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (* a x)) 1.0)
0.0b
(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b
(pow (exp (* a x)) 3)
3.6b
(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
23×*-un-lft-identity
16×difference-of-squares
15×unpow-prod-down cube-prod
9×add-cube-cbrt add-log-exp sqr-pow
7×pow1 add-cbrt-cube
5×add-exp-log distribute-lft-out--
4×associate-*r*
3×pow-unpow pow-pow associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×difference-cubes +-commutative distribute-rgt-in cube-mult pow-to-exp sub-neg exp-prod flip3-- exp-to-pow distribute-lft-in diff-log unpow3 pow-prod-down pow-exp prod-exp sum-log *-commutative flip-- cbrt-unprod rem-cube-cbrt unswap-sqr
Counts
4 → 94
Calls
4 calls:
3.0ms
(+ (exp (* a x)) 1.0)
14.0ms
(* (exp (* a x)) (+ (exp (* a x)) 1.0))
2.0ms
(pow (exp (* a x)) 3)
20.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

series128.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (exp (* a x)) 1.0)
33.0ms
(* (exp (* a x)) (+ (exp (* a x)) 1.0))
24.0ms
(pow (exp (* a x)) 3)
55.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0372776
11805723
25002719

prune240.0ms

Filtered
106 candidates to 62 candidates (58.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (* a x)) 1.0)
0.0b
(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.2b
(* (* a x) 3)
3.6b
(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-cbrt-cube
10×add-exp-log
9×add-log-exp
7×add-cube-cbrt associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×difference-cubes
2×flip3-+ associate-*r/ *-commutative flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in sub-neg unpow-prod-down exp-lft-cube exp-prod flip3-- exp-to-pow distribute-lft-in diff-log cube-prod sum-log flip-- distribute-lft-out-- unswap-sqr sqr-pow
Counts
4 → 73
Calls
4 calls:
5.0ms
(+ (exp (* a x)) 1.0)
14.0ms
(* (exp (* a x)) (+ (exp (* a x)) 1.0))
6.0ms
(* (* a x) 3)
7.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

series114.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (exp (* a x)) 1.0)
37.0ms
(* (exp (* a x)) (+ (exp (* a x)) 1.0))
18.0ms
(* (* a x) 3)
44.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0377576
11644515
25001514

prune225.0ms

Filtered
85 candidates to 55 candidates (64.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3)
0.1b
(cbrt (pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3))
0.2b
(* (* a x) 3)
3.6b
(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
28×cbrt-prod
27×unpow-prod-down cube-prod
21×*-un-lft-identity
20×difference-of-squares
15×difference-cubes
11×add-cube-cbrt add-log-exp
10×pow1 add-exp-log add-cbrt-cube
7×sqr-pow
5×exp-lft-cube exp-prod exp-to-pow distribute-lft-out--
4×cube-div
3×pow-unpow flip3-- associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod
2×cube-mult cbrt-div unpow3
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log associate-*l* pow-exp *-commutative rem-cbrt-cube rem-cube-cbrt
Counts
4 → 118
Calls
4 calls:
13.0ms
(pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3)
13.0ms
(cbrt (pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3))
9.0ms
(* (* a x) 3)
7.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

series170.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3)
44.0ms
(cbrt (pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3))
22.0ms
(* (* a x) 3)
44.0ms
(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify63.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04421223
120451153
250031147

prune271.0ms

Filtered
130 candidates to 63 candidates (48.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.3b

regimes262.0ms

Accuracy

96% (0.8b remaining)

Error of 9.2b against oracle of 8.4b and baseline of 29.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06255
16255

end0.0ms

sample920.0ms

Algorithm
intervals
Results
418.0ms2682×body1280valid
135.0ms1336×body640valid
109.0ms5531×body80valid
47.0ms727×body320valid
17.0ms391×body160valid