Details

Time bar (total: 10.1s)

sample53.0ms

Algorithm
intervals
Results
23.0ms126×body160valid
7.0ms130×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
08236
131036
2105431
3485530
4500130

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 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)
13.8b
(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)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
4 → 82
Calls
4 calls:
12.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
9.0ms
(/ 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)

series627.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
28.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
209.0ms
(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
(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 (33.0ms)

IterNodesCost
03351396
113571221
250011163

prune488.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.6b
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
13.8b
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
10×add-exp-log
8×add-cbrt-cube
6×associate-/r* associate-/l*
5×pow1
4×expm1-log1p-u rem-log-exp log1p-expm1-u add-log-exp
3×prod-exp
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×pow-to-exp log-prod pow-exp log-pow fma-udef
Counts
4 → 83
Calls
4 calls:
8.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
5.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
16.0ms
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
0.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series1.3s

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
30.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
535.0ms
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
680.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify106.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
02371278
17821109
235181101
350021086

prune502.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.6b
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
13.8b
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
13.8b
(log (exp (fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log
6×pow1 add-cbrt-cube
5×log-prod rem-log-exp log-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×exp-prod prod-exp associate-/r* associate-/l*
2×fma-udef
1×cbrt-undiv pow-to-exp frac-2neg div-exp exp-sum pow-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
5.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
16.0ms
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
0.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
3.0ms
(log (exp (fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))

series2.1s

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
736.0ms
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
688.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
689.0ms
(log (exp (fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))

simplify114.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
02701925
18331654
236071636
350021621

prune480.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 13.8b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
13.8b
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
13.8b
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
13.8b
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log
5×pow1
4×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity rem-log-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×prod-exp fma-udef
1×pow-to-exp log-prod pow-exp log-pow
Counts
4 → 45
Calls
4 calls:
16.0ms
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
0.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
0.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
0.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series2.5s

Counts
4 → 12
Calls
4 calls:
525.0ms
(log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592)))
669.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
669.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)
669.0ms
(fma (/ (log (* (pow (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)) 1.061405429 -1.453152027) 1.421413741) -0.284496736)) (exp 0.254829592))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
01611932
14741678
219521617
350021581

prune398.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 13.0b

regimes142.0ms

Accuracy

0% (0.1b remaining)

Error of 13.1b against oracle of 13.1b and baseline of 13.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04393
14593
24593

end0.0ms

sample801.0ms

Algorithm
intervals
Results
430.0ms3924×body160valid
229.0ms4076×body80valid