Details

Time bar (total: 3.0s)

sample10.0ms

Algorithm
intervals
Results
4.0ms322×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ 1.0 (* x x))

simplify95.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09986
132071
295271
3449771
4500271

prune38.0ms

Filtered
24 candidates to 16 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (/ 1.0 x) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0311449
11180415
25001406

prune113.0ms

Filtered
73 candidates to 50 candidates (68.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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×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:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series746.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt x) (cbrt x))
179.0ms
(cbrt x)
184.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune211.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cbrt 1.0) (cbrt x))
0.3b
(/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (pow x 2)))
0.6b
(cbrt x)
21.4b
(cbrt (pow x 2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
47×times-frac
41×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
11×add-exp-log
9×unpow-prod-down
7×associate-/l*
5×add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-undiv div-exp unpow2 sqr-pow
2×frac-2neg pow1/3 clear-num div-inv
1×prod-exp cbrt-unprod
Counts
4 → 124
Calls
4 calls:
8.0ms
(/ (cbrt 1.0) (cbrt x))
7.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (pow x 2)))
0.0ms
(cbrt x)
1.0ms
(cbrt (pow x 2))

series822.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(/ (cbrt 1.0) (cbrt x))
240.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (pow x 2)))
183.0ms
(cbrt x)
182.0ms
(cbrt (pow x 2))

simplify41.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0331881
11253833
25001783

prune364.0ms

Filtered
136 candidates to 99 candidates (72.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042

end0.0ms

sample255.0ms

Algorithm
intervals
Results
146.0ms10668×body80valid