Details

Time bar (total: 2.0s)

sample30.0ms

Algorithm
intervals
Results
12.0ms73×body1280valid
5.0ms51×body640valid
3.0ms177×body80valid
1.0ms21×body320valid
1.0ms15×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1133
2153
3153

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
3.8b
(- (exp x) 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
15×times-frac
9×prod-diff
5×associate-/l* distribute-lft-out-- difference-of-squares
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg associate-/r*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 68
Calls
2 calls:
12.0ms
(/ (- (exp x) 1.0) x)
5.0ms
(- (exp x) 1.0)

series61.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- (exp x) 1.0) x)
21.0ms
(- (exp x) 1.0)

simplify37.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0282468
1919380
25001377

prune140.0ms

Filtered
74 candidates to 52 candidates (70.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 1/6 (pow x 2) (fma 1/2 x 1))

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:
0.0ms
(fma 1/6 (pow x 2) (fma 1/2 x 1))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(fma 1/6 (pow x 2) (fma 1/2 x 1))

simplify27.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03659
110452
253552
3500252

prune33.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 1.0)
0.0b
(/ (/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0)) x)
0.0b
(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
3.8b
(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
99×*-un-lft-identity
65×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
17×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×associate-/r/
7×associate-/r*
6×flip3-+ flip-+ div-inv add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×fma-def
2×frac-2neg clear-num
1×+-commutative sum-log fma-udef associate-/l/
Counts
4 → 154
Calls
4 calls:
4.0ms
(+ (exp x) 1.0)
15.0ms
(/ (/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0)) x)
7.0ms
(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
0.0ms
(fma (- 1.0) 1.0 (exp (+ x x)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (exp x) 1.0)
99.0ms
(/ (/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0)) x)
65.0ms
(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
42.0ms
(fma (- 1.0) 1.0 (exp (+ x x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05312009
119171909
250011904

prune393.0ms

Filtered
166 candidates to 127 candidates (76.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.2b

bsearch33.0ms

Steps
ItersRangePoint
10
-204248214.92732975
-1.534026600097144e-05
-0.00015335972017511905

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311
12311

end0.0ms

sample867.0ms

Algorithm
intervals
Results
378.0ms2242×body1280valid
179.0ms1706×body640valid
101.0ms5383×body80valid
57.0ms802×body320valid
18.0ms416×body160valid