Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
7.0ms348×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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×fma-def associate-*r* associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
2.0ms
(+ 0.253 (* x 0.12))
7.0ms
(* x (+ 0.253 (* x 0.12)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ 0.253 (* x 0.12))
65.0ms
(* x (+ 0.253 (* x 0.12)))

simplify113.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0175184
1809150
24290148
35001148

prune97.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04266
110253
243353
3213253
4500153

prune39.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series747.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
180.0ms
(cbrt x)
183.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune233.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
12.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series546.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
125.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
129.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
127.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04901194
119271109
25001965

prune296.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073

end0.0ms

sample322.0ms

Algorithm
intervals
Results
204.0ms10658×body80valid