Details

Time bar (total: 3.1s)

sample21.0ms

Algorithm
intervals
Results
10.0ms307×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550022

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

5.5b
(* x (/ y z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify80.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0166133
1744118
23139118
35001118

prune84.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New26935
Fresh011
Picked011
Done000
Total261137

Merged error: 0.0b

Counts
37 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
2.5b
(* (cbrt x) (/ y z))
3.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
25×add-sqr-sqrt
18×pow1 add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
14×associate-*r*
11×cbrt-prod times-frac
pow-prod-down
associate-*l*
add-log-exp unswap-sqr
cbrt-undiv associate-*r/ div-exp
pow1/3 *-commutative
div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(* (cbrt x) (/ y z))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

series480.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt x)
169.0ms
(cbrt x)
99.0ms
(* (cbrt x) (/ y z))
44.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0314546
11410432
25001400

prune168.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh099
Picked011
Done011
Total9712109

Merged error: 0.0b

Counts
109 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

5.5b
(* x (/ y z))
11.0b
(cbrt (* x (/ y z)))
11.0b
(cbrt (* x (/ y z)))
11.0b
(cbrt (* x (/ y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
associate-*r/ add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (/ y z))
76.0ms
(cbrt (* x (/ y z)))
78.0ms
(cbrt (* x (/ y z)))
79.0ms
(cbrt (* x (/ y z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0230358
1937310
23854283
35002283

prune149.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh099
Picked011
Done022
Total741286

Merged error: 0.0b

Counts
86 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (/ y z)) (cbrt (/ y z)))) (cbrt (/ y z))))
11.2b
(cbrt (/ y z))
11.2b
(cbrt (/ y z))
11.2b
(cbrt (/ y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×pow1 add-exp-log
29×pow-prod-down
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×prod-exp cbrt-unprod
16×associate-*r/
15×cbrt-div
14×add-cbrt-cube
pow1/3
frac-times associate-*l/
add-log-exp
div-inv
associate-*r* associate-*l* *-commutative
Counts
4 → 108
Calls
4 calls:
23.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (/ y z)) (cbrt (/ y z)))) (cbrt (/ y z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series221.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (/ y z)) (cbrt (/ y z)))) (cbrt (/ y z))))
60.0ms
(cbrt (/ y z))
58.0ms
(cbrt (/ y z))
63.0ms
(cbrt (/ y z))

simplify68.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04131156
11447890
25001688

prune294.0ms

Filtered
120 candidates to 81 candidates (67.5%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh088
Picked011
Done033
Total12012132

Merged error: 0.0b

Counts
132 → 12

regimes375.0ms

Accuracy

64.7% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 6.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02111
1247
2277
3277

end0.0ms

sample540.0ms

Algorithm
intervals
Results
309.0ms9635×body80valid

Profiling

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