Details

Time bar (total: 2.9s)

sample35.0ms

Algorithm
intervals
Results
13.0ms64×body1280valid
7.0ms52×body640valid
4.0ms166×body80valid
2.0ms30×body320valid
1.0ms19×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1133
2153
3153

prune2.0ms

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: 39.5b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
5.7b
(- (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)

series59.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- (exp x) 1.0) x)
15.0ms
(- (exp x) 1.0)

simplify77.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0222329
1625311
22717309
35001309

prune102.0ms

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: 0b

Counts
59 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(* 1/6 (pow x 2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* 1/6 (pow x 2))

simplify77.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
010799
140487
2186787
3500286

prune41.0ms

Filtered
30 candidates to 18 candidates (60.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30030
Fresh022
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
0.0b
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b
(* (exp x) (exp x))
5.7b
(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
146×times-frac
125×*-un-lft-identity
85×add-sqr-sqrt
83×add-cube-cbrt
26×associate-/l*
22×difference-of-squares
21×distribute-lft-out
18×exp-prod
13×add-cbrt-cube
11×pow1 add-exp-log
10×associate-/r/
7×associate-/r*
6×div-inv add-log-exp
5×flip3-+ flip-+
4×cbrt-undiv div-exp pow-prod-down pow-sqr pow-prod-up
3×div-sub swap-sqr associate-*r* associate-*l* associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×pow2 sub-neg pow-plus diff-log prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 195
Calls
4 calls:
15.0ms
(/ (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
12.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
7.0ms
(* (exp x) (exp x))
9.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

series176.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)) x)
48.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
17.0ms
(* (exp x) (exp x))
26.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07232501
136072358
250022353

prune343.0ms

Filtered
207 candidates to 149 candidates (72.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2070207
Fresh011
Picked011
Done011
Total2073210

Merged error: 0b

Counts
210 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
0.0b
(pow (exp x) 3)
5.6b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
48×difference-of-squares
42×*-un-lft-identity
39×unpow-prod-down cube-prod
25×times-frac associate-/l* sqr-pow
15×distribute-lft-out--
10×add-cube-cbrt add-cbrt-cube
9×add-exp-log
8×add-log-exp
5×pow1
4×pow-pow
3×difference-cubes pow-unpow exp-prod
2×cbrt-undiv flip3-- flip3-+ div-exp associate-*l/ associate-/r/ flip-- flip-+ associate-/l/
1×+-commutative cube-mult pow-to-exp sub-neg frac-2neg diff-log unpow3 div-sub pow-exp prod-exp clear-num associate-/r* sum-log cbrt-unprod div-inv distribute-lft-out rem-cube-cbrt
Counts
4 → 142
Calls
4 calls:
3.0ms
(+ 1.0 (exp x))
29.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
4.0ms
(pow (exp x) 3)
12.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series213.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ 1.0 (exp x))
138.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
28.0ms
(pow (exp x) 3)
39.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify92.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05431574
125341469
250011425

prune290.0ms

Filtered
154 candidates to 88 candidates (57.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done022
Total1543157

Merged error: 0b

Counts
157 → 3

regimes19.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.8b

bsearch32.0ms

Steps
ItersRangePoint
9
-0.06461929534003709
-4.410039720853989e-10
-0.00012806970787568986

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample996.0ms

Algorithm
intervals
Results
421.0ms2185×body1280valid
207.0ms1654×body640valid
133.0ms5569×body80valid
69.0ms851×body320valid
23.0ms425×body160valid

Profiling

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