Details

Time bar (total: 3.4s)

sample38.0ms

Algorithm
intervals
Results
13.0ms78×body1280valid
4.0ms186×body80valid
4.0ms38×body640valid
3.0ms35×body320valid
1.0ms18×body160valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.1b
(exp (* a x))
5.3b
(- (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:
2.0ms
(exp (* a x))
4.0ms
(- (exp (* a x)) 1.0)

series50.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(exp (* a x))
33.0ms
(- (exp (* a x)) 1.0)

simplify38.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune98.0ms

Filtered
30 candidates to 20 candidates (66.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New25530
Fresh000
Picked101
Done000
Total26531

Merged error: 9.8b

Counts
31 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (* a x))
0.1b
(exp (* a x))
0.1b
(exp (* a x))
5.2b
(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×difference-of-squares
14×*-un-lft-identity
12×unpow-prod-down cube-prod add-log-exp
8×sqr-pow
5×distribute-lft-out--
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×exp-prod exp-to-pow rem-exp-log
1×difference-cubes sub-neg flip3-- diff-log flip--
Counts
4 → 64
Calls
4 calls:
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
11.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

series89.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (* a x))
12.0ms
(exp (* a x))
12.0ms
(exp (* a x))
54.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify102.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0207469
1647457
23082456
35001456

prune253.0ms

Filtered
76 candidates to 47 candidates (61.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New73376
Fresh224
Picked101
Done000
Total76581

Merged error: 9.8b

Counts
81 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (* a x))
0.1b
(exp (* a x))
0.1b
(exp (* a x))
5.2b
(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
15×difference-of-squares
12×sqrt-prod add-log-exp
8×unpow-prod-down sqr-pow
6×*-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×exp-prod exp-to-pow cube-prod rem-exp-log
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 58
Calls
4 calls:
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
11.0ms
(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

series179.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (* a x))
12.0ms
(exp (* a x))
12.0ms
(exp (* a x))
144.0ms
(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0179470
1502456
21609455
35001454

prune287.0ms

Filtered
70 candidates to 44 candidates (62.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New67370
Fresh044
Picked101
Done000
Total68775

Merged error: 9.8b

Counts
75 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (* a x))
0.1b
(exp (* a x))
0.1b
(exp (* a x))
5.2b
(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
15×difference-of-squares
12×sqrt-prod add-log-exp
8×unpow-prod-down sqr-pow
6×*-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×exp-prod exp-to-pow cube-prod rem-exp-log
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 58
Calls
4 calls:
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
11.0ms
(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

series180.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (* a x))
12.0ms
(exp (* a x))
12.0ms
(exp (* a x))
145.0ms
(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

simplify56.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0179470
1502456
21609455
35001454

prune265.0ms

Filtered
70 candidates to 44 candidates (62.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh066
Picked011
Done000
Total70777

Merged error: 9.8b

Counts
77 → 7

regimes381.0ms

Accuracy

94.7% (1.2b remaining)

Error of 9.3b against oracle of 8.2b and baseline of 30.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04835
14835

end0.0ms

sample1.1s

Algorithm
intervals
Results
474.0ms2776×body1280valid
142.0ms1297×body640valid
124.0ms5529×body80valid
59.0ms788×body320valid
22.0ms402×body160valid

Profiling

Loading profile data...