Details

Time bar (total: 2.5s)

analyze309.0ms

Algorithm
search

sample29.0ms

Algorithm
intervals
Results
12.0ms67×body1280valid
6.0ms55×body640valid
2.0ms31×body320valid
2.0ms88×body80valid
1.0ms15×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.2b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) (- (exp x) 1.0))
5.1b
(- (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-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series198.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune75.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
12×add-exp-log
11×associate-*l*
10×add-cbrt-cube
9×times-frac
6×pow1 associate-*r* add-log-exp
5×unswap-sqr
4×unpow-prod-down prod-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/ associate-/r/ *-commutative cbrt-unprod unpow2 sqr-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg div-exp pow-prod-down pow-exp clear-num sum-log div-inv
Counts
4 → 91
Calls
4 calls:
8.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
9.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series19.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
5.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0429756
12075688
25002686

prune132.0ms

Filtered
72 candidates to 103 candidates (-43.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done000
Total1033106

Merged error: 0.0b

Counts
106 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/12 x) (/ 1 x))
0.3b
(* 1/12 x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
7.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series6.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* 1/12 x) (/ 1 x))
2.0ms
(* 1/12 x)

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0130119
1448109
22305108
35001108

prune35.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done011
Total35338

Merged error: 0.0b

Counts
38 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp x))
0.0b
(cbrt (exp x))
0.0b
(* (cbrt (exp x)) (cbrt (exp x)))
5.2b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod
18×*-un-lft-identity
14×add-cube-cbrt
11×pow1
8×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* sqrt-prod add-log-exp
4×add-cbrt-cube difference-of-squares unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up distribute-lft-out--
1×pow2 sub-neg flip3-- pow-plus diff-log prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 80
Calls
4 calls:
2.0ms
(cbrt (exp x))
2.0ms
(cbrt (exp x))
6.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
8.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series51.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (exp x))
14.0ms
(cbrt (exp x))
19.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
5.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0186523
1563482
22291458
35001432

prune96.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh000
Picked101
Done022
Total92395

Merged error: 0.0b

Counts
95 → 3

regimes54.0ms

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

analyze304.0ms

Algorithm
search

sample843.0ms

Algorithm
intervals
Results
390.0ms2212×body1280valid
183.0ms1646×body640valid
66.0ms2901×body80valid
64.0ms834×body320valid
22.0ms407×body160valid
0.0ms2×body1280invalid

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