Details

Time bar (total: 3.1s)

sample35.0ms

Algorithm
intervals
Results
12.0ms67×body1280valid
7.0ms56×body640valid
5.0ms174×body80valid
2.0ms28×body320valid
1.0ms21×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1133
2153
3153

prune4.0ms

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: 41.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
6.2b
(- (exp x) 1.0)

rewrite12.0ms

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)

series54.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- (exp x) 1.0) x)
14.0ms
(- (exp x) 1.0)

simplify80.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0222329
1625311
22739309
35001309

prune99.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh000
Picked101
Done000
Total56359

Merged error: 0.0b

Counts
59 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b
(* 1/6 (pow x 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp sum-log
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp associate-+r+ flip3-+ pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 40
Calls
2 calls:
7.0ms
(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
5.0ms
(* 1/6 (pow x 2))

series47.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
24.0ms
(* 1/6 (pow x 2))

simplify37.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0201222
1825201
25001198

prune64.0ms

Filtered
46 candidates to 29 candidates (63.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh022
Picked011
Done000
Total46349

Merged error: 0.0b

Counts
49 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- (exp x) 1.0) (/ 1 x))
6.2b
(- (exp x) 1.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp add-log-exp
3×flip3-- flip-- unswap-sqr
2×frac-times div-exp associate-*l/ cbrt-unprod distribute-lft-out-- difference-of-squares
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 56
Calls
2 calls:
11.0ms
(* (- (exp x) 1.0) (/ 1 x))
5.0ms
(- (exp x) 1.0)

series58.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- (exp x) 1.0) (/ 1 x))
15.0ms
(- (exp x) 1.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0287345
11233304
25001287

prune81.0ms

Filtered
62 candidates to 43 candidates (69.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh101
Picked011
Done011
Total62365

Merged error: 0.0b

Counts
65 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.0b
(* (exp x) (exp x))
0.0b
(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) x) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
6.0b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
537×times-frac
528×add-sqr-sqrt
344×*-un-lft-identity
214×add-cube-cbrt
208×difference-of-squares
159×unpow-prod-down cube-prod
105×sqr-pow
79×associate-/l*
65×distribute-lft-out--
21×exp-prod
13×difference-cubes
12×pow1 add-cbrt-cube
9×add-exp-log
6×add-log-exp
5×div-inv
4×pow-pow pow-prod-down pow-sqr pow-prod-up
3×cbrt-undiv pow-unpow swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×div-sub associate-/r/
1×pow2 cube-mult pow-to-exp sub-neg flip3-- frac-2neg flip3-+ pow-plus diff-log unpow3 pow-exp prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ associate-/l/ rem-cube-cbrt unswap-sqr
Counts
4 → 431
Calls
4 calls:
3.0ms
(pow (exp x) 3)
7.0ms
(* (exp x) (exp x))
39.0ms
(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) x) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
12.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series226.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(pow (exp x) 3)
13.0ms
(* (exp x) (exp x))
145.0ms
(/ (/ (- (pow (exp x) 3) (pow 1.0 3)) x) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
44.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify113.0ms

Algorithm
egg-herbie
Counts
443 → 443
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013569932
150019617

prune843.0ms

Filtered
443 candidates to 249 candidates (56.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4412443
Fresh000
Picked101
Done112
Total4433446

Merged error: 0.0b

Counts
446 → 3

regimes20.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.2b

bsearch45.0ms

Steps
ItersRangePoint
10
-55383.34621353126
-7.537518413748392e-06
-0.0001748770617028313

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03625
13625

end0.0ms

sample1.0s

Algorithm
intervals
Results
444.0ms2210×body1280valid
210.0ms1602×body640valid
143.0ms5614×body80valid
72.0ms798×body320valid
25.0ms436×body160valid