Details

Time bar (total: 3.0s)

sample39.0ms

Algorithm
intervals
Results
15.0ms109×body1280valid
7.0ms80×body640valid
4.0ms398×pre80true
2.0ms41×body320valid
2.0ms145×body80valid
1.0ms23×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

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: 59.6b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.3b
(- (exp x) 1.0)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
5.0ms
(- (exp x) 1.0)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(- (exp x) 1.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0140205
1403130
22063120
3500390

prune54.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New29231
Fresh000
Picked011
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify34.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04574
115265
294865
3500165

prune38.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316

Merged error: 0.0b

Counts
16 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
0.0b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
0.0b
(pow (exp x) 3)
6.1b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
233×add-sqr-sqrt
163×*-un-lft-identity
144×prod-diff
138×unpow-prod-down cube-prod
113×add-cube-cbrt
80×difference-of-squares
75×times-frac
66×sqr-pow
26×cube-mult unpow3
25×associate-/l* distribute-lft-out--
12×fma-neg
7×add-cbrt-cube
6×add-exp-log add-log-exp
5×pow1 difference-cubes
4×expm1-log1p-u pow-pow log1p-expm1-u
3×pow-unpow exp-prod associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv pow-to-exp sub-neg frac-2neg diff-log div-sub div-exp pow-exp clear-num fma-udef div-inv rem-cube-cbrt
Counts
4 → 350
Calls
4 calls:
1.0ms
(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
25.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
4.0ms
(pow (exp x) 3)
16.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series185.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
89.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
28.0ms
(pow (exp x) 3)
36.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify146.0ms

Algorithm
egg-herbie
Counts
362 → 362
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07954646
129523884
250023789

prune424.0ms

Filtered
362 candidates to 123 candidates (34.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3602362
Fresh000
Picked101
Done112
Total3623365

Merged error: 0.0b

Counts
365 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (exp (+ x x)))
0.0b
(+ (exp x) 1.0)
0.0b
(/ (- (* (exp x) (exp (+ x x))) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
6.4b
(- (* (exp x) (exp (+ x x))) (pow 1.0 3))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
28×add-sqr-sqrt
22×add-cube-cbrt
17×exp-prod
12×times-frac prod-diff
8×exp-sum add-cbrt-cube add-log-exp
7×pow1
6×add-exp-log cube-unmult pow-prod-up
5×difference-cubes
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u distribute-lft-out associate-/l*
3×unpow-prod-down fma-def cube-prod associate-*l* associate-/r*
2×distribute-rgt-out flip3-- flip-- associate-/l/ unswap-sqr
1×cbrt-undiv +-commutative cube-mult sub-neg frac-2neg distribute-lft1-in flip3-+ count-2 fma-neg diff-log unpow3 div-sub div-exp distribute-rgt1-in prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv sqr-pow
Counts
4 → 113
Calls
4 calls:
11.0ms
(* (exp x) (exp (+ x x)))
4.0ms
(+ (exp x) 1.0)
17.0ms
(/ (- (* (exp x) (exp (+ x x))) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
14.0ms
(- (* (exp x) (exp (+ x x))) (pow 1.0 3))

series153.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (exp x) (exp (+ x x)))
7.0ms
(+ (exp x) 1.0)
89.0ms
(/ (- (* (exp x) (exp (+ x x))) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
37.0ms
(- (* (exp x) (exp (+ x x))) (pow 1.0 3))

simplify88.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05481226
125861032
250021029

prune291.0ms

Filtered
125 candidates to 90 candidates (72.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done011
Total1253128

Merged error: 0.0b

Counts
128 → 3

regimes17.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094

end0.0ms

sample1.1s

Algorithm
intervals
Results
488.0ms3418×body1280valid
208.0ms2426×body640valid
98.0ms12000×pre80true
66.0ms1288×body320valid
48.0ms4188×body80valid
22.0ms680×body160valid