Details

Time bar (total: 3.2s)

sample38.0ms

Algorithm
intervals
Results
15.0ms87×body1280valid
4.0ms40×body640valid
4.0ms163×body80valid
2.0ms24×body320valid
1.0ms13×body160valid

simplify58.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.5b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.3b
(- (exp (* a x)) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp (* a x)) 1.0)

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(- (exp (* a x)) 1.0)

simplify38.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0103100
130092
2105590
3500190

prune59.0ms

Filtered
17 candidates to 12 candidates (29.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New11617
Fresh000
Picked101
Done000
Total12618

Merged error: 7.2b

Counts
18 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(log (exp (- (exp (* a x)) 1.0)))
3.3b
(- (exp (* a x)) 1.0)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity
6×log-pow
5×log-prod exp-prod
4×add-cube-cbrt add-log-exp
3×pow1
2×add-exp-log sub-neg exp-sum add-cbrt-cube distribute-lft-out-- difference-of-squares
1×log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
2 → 34
Calls
2 calls:
4.0ms
(log (exp (- (exp (* a x)) 1.0)))
4.0ms
(- (exp (* a x)) 1.0)

series14.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0142220
1385199
21199196
35001196

prune83.0ms

Filtered
40 candidates to 26 candidates (35.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh055
Picked011
Done000
Total40646

Merged error: 7.2b

Counts
46 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- (exp (* a x)) 1.0))
3.3b
(- (exp (* a x)) 1.0)
3.3b
(- (exp (* a x)) 1.0)
3.3b
(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
5×cbrt-prod add-cube-cbrt
4×pow1 add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (- (exp (* a x)) 1.0))
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)

series47.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (- (exp (* a x)) 1.0))
7.0ms
(- (exp (* a x)) 1.0)
9.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)

simplify65.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0172466
1517418
22052400
35002398

prune211.0ms

Filtered
69 candidates to 50 candidates (27.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh044
Picked101
Done011
Total69675

Merged error: 7.2b

Counts
75 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.0b
(+ (exp (* a x)) 1.0)
0.0b
(pow (exp (* a x)) 3)
3.2b
(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
157×add-sqr-sqrt
89×*-un-lft-identity
80×difference-of-squares
75×times-frac
63×unpow-prod-down cube-prod
41×sqr-pow
37×add-cube-cbrt
25×associate-/l* distribute-lft-out--
9×add-log-exp
7×add-cbrt-cube
6×add-exp-log
5×pow1 difference-cubes
3×pow-unpow pow-pow associate-/r*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative cube-mult pow-to-exp sub-neg exp-prod exp-to-pow frac-2neg diff-log unpow3 div-sub div-exp pow-exp clear-num sum-log div-inv distribute-lft-out rem-cube-cbrt
Counts
4 → 191
Calls
4 calls:
21.0ms
(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
3.0ms
(+ (exp (* a x)) 1.0)
3.0ms
(pow (exp (* a x)) 3)
13.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

series69.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
5.0ms
(+ (exp (* a x)) 1.0)
9.0ms
(pow (exp (* a x)) 3)
15.0ms
(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify100.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06293662
125683579
250013500

prune713.0ms

Filtered
203 candidates to 106 candidates (47.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1994203
Fresh224
Picked101
Done011
Total2027209

Merged error: 7.2b

Counts
209 → 7

regimes439.0ms

Accuracy

94.9% (1.1b remaining)

Error of 8.9b against oracle of 7.8b and baseline of 29.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample1.1s

Algorithm
intervals
Results
450.0ms2706×body1280valid
144.0ms1314×body640valid
120.0ms5528×body80valid
52.0ms721×body320valid
20.0ms417×body160valid

Profiling

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