Details

Time bar (total: 4.2s)

sample24.0ms

Algorithm
intervals
Results
13.0ms342×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1414
2694
3904
41054
51474
62264
73684
84154
94154

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ 0.253 (* x 0.12))
9.0ms
(* x (+ 0.253 (* x 0.12)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ 0.253 (* x 0.12))
93.0ms
(* x (+ 0.253 (* x 0.12)))

simplify120.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0166173
1767154
24026154
35002154

prune64.0ms

Filtered
39 candidates to 27 candidates (69.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31839
Fresh000
Picked011
Done000
Total31940

Merged error: 0.0b

Counts
40 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

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

series714.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt x) (cbrt x))
179.0ms
(cbrt x)
173.0ms
(cbrt x)
170.0ms
(cbrt x)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune200.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh167
Picked101
Done011
Total86894

Merged error: 0.0b

Counts
94 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt x) (+ 0.253 (* x 0.12)))
0.3b
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
0.5b
(cbrt x)
19.7b
(cbrt (pow x 2))

rewrite20.0ms

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:
5.0ms
(* (cbrt x) (+ 0.253 (* x 0.12)))
9.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series789.0ms

Counts
4 → 12
Calls
4 calls:
365.0ms
(* (cbrt x) (+ 0.253 (* x 0.12)))
81.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
169.0ms
(cbrt x)
174.0ms
(cbrt (pow x 2))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0376590
11693524
25001508

prune211.0ms

Filtered
97 candidates to 71 candidates (73.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh066
Picked101
Done011
Total978105

Merged error: 0b

Counts
105 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))))
0.5b
(cbrt x)
19.7b
(cbrt (pow x 2))
19.7b
(cbrt (pow x 2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
106×sqrt-prod
99×cbrt-prod
77×add-sqr-sqrt
36×unswap-sqr
30×unpow-prod-down
25×add-cube-cbrt *-un-lft-identity
19×pow1
18×unpow2 sqr-pow
16×swap-sqr
14×sqrt-pow1 associate-*r* associate-*l*
9×pow1/3
8×pow1/2
6×add-exp-log pow-prod-up add-cbrt-cube
4×pow-prod-down pow-sqr add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 151
Calls
4 calls:
13.0ms
(* (sqrt (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))
2.0ms
(cbrt (pow x 2))

series713.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (sqrt (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))))
181.0ms
(cbrt x)
180.0ms
(cbrt (pow x 2))
177.0ms
(cbrt (pow x 2))

simplify190.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0235992
1808855
24820818
35001818

prune288.0ms

Filtered
163 candidates to 86 candidates (52.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1630163
Fresh066
Picked011
Done011
Total1638171

Merged error: 0b

Counts
171 → 8

regimes83.0ms

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

sample358.0ms

Algorithm
intervals
Results
240.0ms10704×body80valid

Profiling

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