Details

Time bar (total: 1.8s)

sample38.0ms

Algorithm
intervals
Results
15.0ms111×body1280valid
7.0ms81×body640valid
3.0ms369×pre80true
2.0ms37×body320valid
1.0ms117×body80valid
1.0ms23×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize3.0ms

Local error

Found 1 expressions with local error:

6.0b
(- (exp x) 1.0)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
prod-diff
add-cube-cbrt
fma-neg add-log-exp
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)

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(- (exp x) 1.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0140205
1403130
22063120
3500390

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
0.0ms
(fma 1/6 (pow x 3) x)

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(fma 1/6 (pow x 3) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
17039
226239
3126739
4500239

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
7.0ms
(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
0.0ms
(fma (- 1.0) 1.0 (exp (+ x x)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
45.0ms
(fma (- 1.0) 1.0 (exp (+ x x)))

simplify86.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0185503
1539464
22500453
35002453

prune105.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes11.0ms

Accuracy

0% (0.3b 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
477.0ms3394×body1280valid
212.0ms2547×body640valid
97.0ms12047×pre80true
65.0ms1252×body320valid
47.0ms4240×body80valid
20.0ms614×body160valid