Details

Time bar (total: 4.2s)

sample15.0ms

Algorithm
intervals
Results
7.0ms353×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0194
1454
2823
31273
41683
52243
63593
76663
87633
97633

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- x) (fma 0.12 x 0.253) 1.0)

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 (- x) (fma 0.12 x 0.253) 1.0)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04266
110253
243353
3213253
4500153

prune35.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
6.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

series733.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
181.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
181.0ms
(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
189.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03551123
112421046
25001918

prune304.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))
0.2b
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
24×add-sqr-sqrt
17×add-cube-cbrt
16×pow1 *-un-lft-identity
12×associate-*l*
11×add-exp-log pow1/3
7×swap-sqr associate-*r* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 94
Calls
4 calls:
6.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
14.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))
1.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
3.0ms
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

series766.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
203.0ms
(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))
184.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
189.0ms
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05511740
119531611
250011402

prune397.0ms

Filtered
106 candidates to 81 candidates (76.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b
(* (sqrt (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))) (sqrt (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))))
0.2b
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
0.2b
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt sqrt-prod
21×cbrt-prod
19×pow1
14×add-cube-cbrt *-un-lft-identity sqrt-pow1
9×pow1/3 swap-sqr unswap-sqr
8×pow1/2
7×associate-*r* associate-*l*
6×add-exp-log pow-prod-up add-cbrt-cube
4×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
11.0ms
(* (sqrt (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))) (sqrt (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))))
3.0ms
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
3.0ms
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

series746.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
184.0ms
(* (sqrt (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))) (sqrt (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))))
195.0ms
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
185.0ms
(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04091854
115121668
250011517

prune387.0ms

Filtered
112 candidates to 72 candidates (64.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073

end0.0ms

sample332.0ms

Algorithm
intervals
Results
204.0ms10643×body80valid