Details

Time bar (total: 3.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms348×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
fma-def associate-*r* associate-*l*
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
+-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:
6.0ms
(+ 0.253 (* x 0.12))
20.0ms
(* x (+ 0.253 (* x 0.12)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ 0.253 (* x 0.12))
62.0ms
(* x (+ 0.253 (* x 0.12)))

simplify118.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0175184
1809150
24290148
35001148

prune100.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (fma 0.12 x 0.253))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
fma-udef
distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
7.0ms
(* x (fma 0.12 x 0.253))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* x (fma 0.12 x 0.253))

simplify50.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08289
134576
2170776
3500376

prune49.0ms

Pruning

6 alts after pruning (5 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)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series717.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt x) (cbrt x))
173.0ms
(cbrt x)
172.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune242.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt x) (fma 0.12 x 0.253))
0.3b
(* (cbrt (pow x 2)) (* (cbrt x) (fma 0.12 x 0.253)))
0.6b
(cbrt x)
22.4b
(cbrt (pow x 2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×add-sqr-sqrt associate-*l*
13×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log
add-cbrt-cube
unpow-prod-down fma-udef
distribute-rgt-in distribute-lft-in
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
pow1/3 *-commutative unpow2 unswap-sqr sqr-pow
Counts
4 → 89
Calls
4 calls:
12.0ms
(* (cbrt x) (fma 0.12 x 0.253))
26.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (fma 0.12 x 0.253)))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series975.0ms

Counts
4 → 12
Calls
4 calls:
539.0ms
(* (cbrt x) (fma 0.12 x 0.253))
79.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (fma 0.12 x 0.253)))
181.0ms
(cbrt x)
176.0ms
(cbrt (pow x 2))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0310526
11230477
25002455

prune255.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

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
083
183

end0.0ms

sample344.0ms

Algorithm
intervals
Results
200.0ms10602×body80valid