Details

Time bar (total: 16.0s)

sample49.0ms

Algorithm
intervals
Results
20.0ms123×body160valid
8.0ms133×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
08236
131036
2105431
3485530
4500130

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.6b

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)
13.6b
(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)

rewrite22.0ms

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:
9.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
8.0ms
(/ 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)

series581.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
26.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
198.0ms
(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)
331.0ms
(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)

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03351396
113571221
250011163

prune487.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 (* 0.3275911 (fabs x))))
0.3b
(cbrt (+ 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 (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
13.6b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
2×flip3-+ pow1/3 flip-+ fma-udef
Counts
4 → 50
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 (* 0.3275911 (fabs x))))
3.0ms
(cbrt (+ 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 (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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 (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)

series910.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ 1.0 (* 0.3275911 (fabs x))))
120.0ms
(cbrt (+ 1.0 (* 0.3275911 (fabs x))))
261.0ms
(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
402.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)

simplify41.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
03021574
110691363
250021265

prune409.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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))
13.6b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
13.6b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
13.6b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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 (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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 (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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 (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)

series1.9s

Counts
4 → 12
Calls
4 calls:
736.0ms
(cbrt (fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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))
398.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
403.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
403.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)

simplify117.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
02083318
16942896
234842739
350032634

prune518.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.8b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (/ (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (/ (exp (pow (fabs x) 2)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (pow (/ (cbrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 3) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592))) 1.0))
13.6b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
13.6b
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
13.6b
(+ (/ (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (/ (exp (pow (fabs x) 2)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (pow (/ (cbrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 3) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592))) 1.0)

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
1138×times-frac
508×*-un-lft-identity
504×add-sqr-sqrt add-cube-cbrt
447×fma-def
117×distribute-lft-neg-in distribute-rgt-neg-in
48×div-inv
39×neg-mul-1
6×add-log-exp
4×pow1 add-exp-log cbrt-prod expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×cbrt-div flip3-+ div-sub flip-+ fma-udef distribute-lft-out
1×+-commutative neg-sub0 associate-+l- pow1/3 sum-log associate-/r/
Counts
4 → 498
Calls
4 calls:
168.0ms
(cbrt (+ (/ (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (/ (exp (pow (fabs x) 2)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (pow (/ (cbrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 3) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592))) 1.0))
0.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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 (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
270.0ms
(+ (/ (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (/ (exp (pow (fabs x) 2)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (pow (/ (cbrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 3) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592))) 1.0)

series2.3s

Counts
4 → 12
Calls
4 calls:
905.0ms
(cbrt (+ (/ (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (/ (exp (pow (fabs x) 2)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (pow (/ (cbrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 3) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592))) 1.0))
406.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
400.0ms
(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (cbrt 1.0) (cbrt (+ 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)
577.0ms
(+ (/ (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) (/ (exp (pow (fabs x) 2)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (pow (/ (cbrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 3) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592))) 1.0)

simplify65.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03153347
110752638
250012500

prune6.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 12.8b

regimes221.0ms

Accuracy

0% (0.1b remaining)

Error of 13.1b against oracle of 13.0b and baseline of 13.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064136
166136
269136
369136

end0.0ms

sample821.0ms

Algorithm
intervals
Results
446.0ms3914×body160valid
235.0ms4086×body80valid