Details

Time bar (total: 3.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms333×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1414
2694
3904
41054
51474
62264
73684
84154
94154

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+ associate--r+
1×+-commutative sub-neg flip3-- diff-log pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 47
Calls
3 calls:
5.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
5.0ms
(+ 0.253 (* x 0.12))
14.0ms
(* x (+ 0.253 (* x 0.12)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
31.0ms
(+ 0.253 (* x 0.12))
59.0ms
(* x (+ 0.253 (* x 0.12)))

simplify36.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226274
1991253
25002253

prune100.0ms

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)

rewrite14.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series689.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt x) (cbrt x))
165.0ms
(cbrt x)
168.0ms
(cbrt x)
169.0ms
(cbrt x)

simplify85.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune196.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
0.3b
(* (cbrt x) (+ 0.253 (* x 0.12)))
0.6b
(cbrt x)
16.2b
(cbrt (pow x 2))

rewrite56.0ms

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
7×add-cbrt-cube
6×unpow-prod-down associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unpow2 unswap-sqr sqr-pow
Counts
4 → 85
Calls
4 calls:
31.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
19.0ms
(* (cbrt x) (+ 0.253 (* x 0.12)))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series739.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
319.0ms
(* (cbrt x) (+ 0.253 (* x 0.12)))
176.0ms
(cbrt x)
167.0ms
(cbrt (pow x 2))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0376590
11693524
25001508

prune257.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
16.2b
(cbrt (pow x 2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×unpow-prod-down
1×unpow2 sqr-pow
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (pow x 2))

series753.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
173.0ms
(cbrt x)
231.0ms
(cbrt (cbrt x))
170.0ms
(cbrt (pow x 2))

simplify43.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0127222
1319204
21156189
35002189

prune222.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes72.0ms

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
0114
1114

end0.0ms

sample329.0ms

Algorithm
intervals
Results
183.0ms10603×body80valid