Details

Time bar (total: 7.1s)

sample44.0ms

Algorithm
intervals
Results
14.0ms122×body160valid
8.0ms134×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
08236
131036
2105431
3485530
4500130

prune23.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.4b
(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
13.5b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
add-exp-log add-cbrt-cube
associate-/r* 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
4 → 82
Calls
4 calls:
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.0ms
(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
0.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series645.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
29.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
220.0ms
(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
362.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03351396
113571221
250011163

prune603.0ms

Filtered
94 candidates to 78 candidates (83.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- 1.0) (fma (fabs x) 0.3275911 1.0))
0.4b
(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
13.5b
(log (exp (fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))
13.5b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
add-exp-log add-cbrt-cube
pow1
expm1-log1p-u neg-mul-1 log-prod log-pow log1p-expm1-u add-log-exp
exp-prod associate-/r* fma-udef
cbrt-undiv neg-sub0 frac-2neg div-sub distribute-frac-neg div-exp rem-log-exp exp-sum clear-num div-inv
Counts
4 → 97
Calls
4 calls:
4.0ms
(/ (- 1.0) (fma (fabs x) 0.3275911 1.0))
0.0ms
(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
1.0ms
(log (exp (fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))
0.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series957.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (- 1.0) (fma (fabs x) 0.3275911 1.0))
215.0ms
(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
357.0ms
(log (exp (fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))
358.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04182259
114942000
250021921

prune570.0ms

Filtered
109 candidates to 86 candidates (78.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.4b
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
13.5b
(log (exp (+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)))
13.5b
(+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
fma-def
add-exp-log add-cbrt-cube add-log-exp
pow1 log-pow
expm1-log1p-u log-prod exp-prod log1p-expm1-u
associate-/r* associate-/l*
div-inv distribute-lft-out
cbrt-undiv +-commutative frac-2neg flip3-+ div-exp rem-log-exp exp-sum clear-num sum-log flip-+ fma-udef
Counts
4 → 79
Calls
4 calls:
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
61.0ms
(log (exp (+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)))
22.0ms
(+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)

series923.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
187.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
353.0ms
(log (exp (+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)))
356.0ms
(+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)

simplify51.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03751984
114061781
250011710

prune474.0ms

Filtered
91 candidates to 71 candidates (78.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 13.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.4b
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
1.2b
(exp (log (+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)))
13.5b
(+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
fma-def
add-exp-log add-cbrt-cube add-log-exp
pow1
expm1-log1p-u log-prod exp-prod exp-sum log1p-expm1-u
associate-/r* associate-/l*
log-div flip3-+ exp-diff flip-+ div-inv distribute-lft-out
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log log-pow fma-udef rem-exp-log
Counts
4 → 80
Calls
4 calls:
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
15.0ms
(exp (log (+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)))
19.0ms
(+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)

series931.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
188.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
363.0ms
(exp (log (+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)))
356.0ms
(+ (/ (* (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)) (exp (pow (fabs x) 2))) 1.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03842140
114201965
250021819

prune443.0ms

Filtered
92 candidates to 70 candidates (76.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.4b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 13.9b against oracle of 13.9b and baseline of 13.9b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02980
13380
24080
34480
44980
55280
66280
77480
88780
99480
109680
119680

end0.0ms

sample806.0ms

Algorithm
intervals
Results
454.0ms3942×body160valid
236.0ms4058×body80valid