Details

Time bar (total: 2.3s)

sample36.0ms

Algorithm
intervals
Results
15.0ms78×body1280valid
6.0ms50×body640valid
4.0ms171×body80valid
2.0ms32×body320valid
1.0ms13×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0156
1156

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.3b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
3.9b
(- (exp x) 1.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l* distribute-lft-out-- difference-of-squares
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
6.0ms
(/ (- (exp x) 1.0) x)
4.0ms
(- (exp x) 1.0)

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (- (exp x) 1.0) x)
2.0ms
(- (exp x) 1.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04957536
14957536

prune82.0ms

Filtered
42 candidates to 58 candidates (-38.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New52658
Fresh000
Picked101
Done000
Total53659

Merged error: 0.1b

Counts
59 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1/2 (* x 1/6))
0.0b
(+ 1 (* x (+ 1/2 (* x 1/6))))
0.0b
(* x (+ 1/2 (* x 1/6)))
0.3b
(* x 1/6)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
6×associate-*r* associate-*l*
3×flip3-+ flip-+
2×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
2.0ms
(+ 1/2 (* x 1/6))
3.0ms
(+ 1 (* x (+ 1/2 (* x 1/6))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
3.0ms
(* x 1/6)

series15.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1/2 (* x 1/6))
3.0ms
(+ 1 (* x (+ 1/2 (* x 1/6))))
6.0ms
(* x (+ 1/2 (* x 1/6)))
2.0ms
(* x 1/6)

simplify50.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05346582

prune83.0ms

Filtered
53 candidates to 76 candidates (-43.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done000
Total76682

Merged error: 0.1b

Counts
82 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cbrt (pow (- (exp x) 1.0) 3)) x)
0.0b
(pow (- (exp x) 1.0) 3)
0.1b
(cbrt (pow (- (exp x) 1.0) 3))
3.9b
(- (exp x) 1.0)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
72×add-sqr-sqrt *-un-lft-identity
57×times-frac
46×add-cube-cbrt
30×unpow-prod-down cube-prod
19×associate-/l*
13×distribute-lft-out-- difference-of-squares
7×add-exp-log
6×cube-div cube-mult unpow3 add-cbrt-cube add-log-exp sqr-pow
5×pow1
4×cbrt-div flip3-- flip--
3×pow-unpow associate-/r*
2×associate-/l/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 163
Calls
4 calls:
10.0ms
(/ (cbrt (pow (- (exp x) 1.0) 3)) x)
5.0ms
(pow (- (exp x) 1.0) 3)
5.0ms
(cbrt (pow (- (exp x) 1.0) 3))
4.0ms
(- (exp x) 1.0)

series16.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (cbrt (pow (- (exp x) 1.0) 3)) x)
6.0ms
(pow (- (exp x) 1.0) 3)
2.0ms
(cbrt (pow (- (exp x) 1.0) 3))
2.0ms
(- (exp x) 1.0)

simplify61.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
053891805

prune145.0ms

Filtered
89 candidates to 175 candidates (-96.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1741175
Fresh134
Picked011
Done011
Total1756181

Merged error: 0.1b

Counts
181 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 2)
0.0b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (* x (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0)))))
0.0b
(pow (exp x) 3)
3.8b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
48×difference-of-squares
43×*-un-lft-identity
42×unpow-prod-down
39×cube-prod
26×sqr-pow
25×times-frac associate-/l*
15×distribute-lft-out--
13×add-cube-cbrt
10×add-cbrt-cube
9×add-exp-log
8×pow-pow
6×pow1 pow-unpow exp-prod add-log-exp
3×difference-cubes
2×cbrt-undiv pow-to-exp flip3-- associate-*r/ div-exp pow-exp associate-/r/ flip-- associate-/l/
1×cube-mult sub-neg frac-2neg flip3-+ diff-log unpow3 div-sub prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv unpow2 rem-cube-cbrt
Counts
4 → 151
Calls
4 calls:
3.0ms
(pow (exp x) 2)
19.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (* x (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0)))))
3.0ms
(pow (exp x) 3)
13.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (exp x) 2)
28.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (* x (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0)))))
4.0ms
(pow (exp x) 3)
6.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify63.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
051472592

prune407.0ms

Filtered
91 candidates to 163 candidates (-79.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1612163
Fresh033
Picked101
Done112
Total1636169

Merged error: 0.1b

Counts
169 → 6

regimes47.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.8b

bsearch15.0ms

Steps
ItersRangePoint
9
-0.00018277710226217338
-1.6134268669450407e-10
-0.00016599485325579491

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04657
14657

end0.0ms

sample1.1s

Algorithm
intervals
Results
451.0ms2264×body1280valid
221.0ms1685×body640valid
123.0ms5419×body80valid
73.0ms865×body320valid
23.0ms433×body160valid

Profiling

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