Details

Time bar (total: 2.7s)

sample40.0ms

Algorithm
intervals
Results
15.0ms81×body1280valid
5.0ms41×body640valid
5.0ms193×body80valid
1.0ms18×body320valid
1.0ms14×body160valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.5b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* a x))
4.1b
(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
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)

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(exp (* a x))
7.0ms
(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0115135
1333127
21116125
35001125

prune50.0ms

Filtered
20 candidates to 30 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New25530
Fresh000
Picked101
Done000
Total26531

Merged error: 8.2b

Counts
31 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* a x))
0.0b
(exp (* a x))
4.1b
(- (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
sqr-pow
distribute-lft-out--
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
exp-prod exp-to-pow rem-exp-log
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))

series27.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (* a x))
4.0ms
(exp (* a x))
4.0ms
(exp (* a x))
16.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify105.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0207469
1647457
23082456
35001456

prune132.0ms

Filtered
47 candidates to 76 candidates (-61.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New71576
Fresh224
Picked101
Done000
Total74781

Merged error: 8.2b

Counts
81 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* a x))
0.0b
(exp (* a x))
4.1b
(- (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
sqr-pow
distribute-lft-out--
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
exp-prod exp-to-pow rem-exp-log
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))

series29.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (* a x))
4.0ms
(exp (* a x))
4.0ms
(exp (* a x))
17.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify106.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0207469
1647457
23082456
35001456

prune142.0ms

Filtered
47 candidates to 76 candidates (-61.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh066
Picked011
Done000
Total76783

Merged error: 8.2b

Counts
83 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* a x))
0.0b
(exp (* a x))
0.0b
(pow (exp (* a x)) 6)
4.1b
(+ (pow (exp (* a x)) 6) (neg (pow 1.0 6)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
12×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 unpow-prod-down
add-exp-log add-cbrt-cube
pow-unpow exp-prod exp-to-pow pow-pow distribute-lft-out
distribute-rgt-neg-in sum-log rem-exp-log
+-commutative neg-sub0 pow-to-exp associate-+r- flip3-+ unsub-neg neg-log pow-exp flip-+ sqr-pow
Counts
4 → 57
Calls
4 calls:
2.0ms
(exp (* a x))
2.0ms
(exp (* a x))
3.0ms
(pow (exp (* a x)) 6)
10.0ms
(+ (pow (exp (* a x)) 6) (neg (pow 1.0 6)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (* a x))
4.0ms
(exp (* a x))
12.0ms
(pow (exp (* a x)) 6)
20.0ms
(+ (pow (exp (* a x)) 6) (neg (pow 1.0 6)))

simplify161.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (157.0ms)

IterNodesCost
0216329
1856301
24362291
35002290

prune119.0ms

Filtered
44 candidates to 69 candidates (-56.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66369
Fresh325
Picked101
Done011
Total70676

Merged error: 8.2b

Counts
76 → 6

regimes299.0ms

Accuracy

93.3% (1.4b remaining)

Error of 9.5b against oracle of 8.0b and baseline of 29.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05132
15132

end0.0ms

sample1.2s

Algorithm
intervals
Results
483.0ms2724×body1280valid
164.0ms1350×body640valid
136.0ms5462×body80valid
57.0ms731×body320valid
23.0ms421×body160valid

Profiling

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