Details

Time bar (total: 2.1s)

sample35.0ms

Algorithm
intervals
Results
14.0ms74×body1280valid
6.0ms49×body640valid
4.0ms190×body80valid
2.0ms23×body320valid
1.0ms14×body160valid

simplify8.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.7b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
3.4b
(- (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)

series7.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (- (exp x) 1.0) x)
2.0ms
(- (exp x) 1.0)

simplify77.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0222329
1625311
22717309
35001309

prune79.0ms

Filtered
58 candidates to 43 candidates (25.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh000
Picked101
Done000
Total56359

Merged error: 0.1b

Counts
59 → 3

localize9.0ms

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))

rewrite13.0ms

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))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
3.0ms
(* 1/6 (pow x 2))

simplify38.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0201222
1825201
25001198

prune67.0ms

Filtered
46 candidates to 29 candidates (37.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh022
Picked101
Done000
Total45449

Merged error: 0.1b

Counts
49 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/6 (pow x 2))
10.2b
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
10.2b
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
10.2b
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log cbrt-prod
8×associate-*r*
6×cbrt-div add-cbrt-cube
4×pow1 unpow-prod-down add-log-exp unswap-sqr
3×flip3-+ pow1/3 associate-*l* prod-exp flip-+
2×unpow2 sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
4 → 66
Calls
4 calls:
5.0ms
(* 1/6 (pow x 2))
6.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
6.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
6.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 1/6 (pow x 2))
7.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
10.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
7.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0242731
1941684
25001673

prune267.0ms

Filtered
78 candidates to 60 candidates (23.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh033
Picked101
Done000
Total78482

Merged error: 0.1b

Counts
82 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (+ 1/6 (* x 1/36)))
0.4b
(* x 1/36)
10.2b
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
10.2b
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log add-cbrt-cube
6×cbrt-prod associate-*r* associate-*l*
4×cbrt-div add-log-exp
3×flip3-+ flip-+
2×pow1/3 associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 66
Calls
4 calls:
5.0ms
(* x (+ 1/6 (* x 1/36)))
3.0ms
(* x 1/36)
6.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
6.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))

series22.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (+ 1/6 (* x 1/36)))
2.0ms
(* x 1/36)
7.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))
7.0ms
(cbrt (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0318582
11468536
25001532

prune200.0ms

Filtered
78 candidates to 57 candidates (26.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh033
Picked101
Done000
Total78482

Merged error: 0.1b

Counts
82 → 4

regimes80.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06356
16556
26556

end0.0ms

sample1.0s

Algorithm
intervals
Results
429.0ms2277×body1280valid
201.0ms1673×body640valid
118.0ms5469×body80valid
68.0ms831×body320valid
20.0ms389×body160valid

Profiling

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