Details

Time bar (total: 2.3s)

sample31.0ms

Algorithm
intervals
Results
10.0ms303×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550022

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

5.2b
(* x (/ y z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
10.0ms
(* x (/ y z))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (/ y z))

simplify65.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0166133
1744118
23139118
35001118

prune72.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New251035
Fresh101
Picked011
Done000
Total261137

Merged error: 0.0b

Counts
37 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.3b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
21.0ms
(cbrt z)
23.0ms
(cbrt z)
10.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0440756
12120661
25002598

prune109.0ms

Filtered
77 candidates to 104 candidates (-35.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh279
Picked011
Done011
Total10510115

Merged error: 0.0b

Counts
115 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.3b
(/ (* x (* (cbrt y) (cbrt y))) (* (cbrt z) (cbrt z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
15×add-cbrt-cube
9×cbrt-prod prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-undiv div-exp
4×pow1 add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(/ (* x (* (cbrt y) (cbrt y))) (* (cbrt z) (cbrt z)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
27.0ms
(/ (* x (* (cbrt y) (cbrt y))) (* (cbrt z) (cbrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0308478
11275381
25002330

prune83.0ms

Filtered
48 candidates to 70 candidates (-45.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh077
Picked011
Done022
Total701080

Merged error: 0.0b

Counts
80 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
2.0b
(* (cbrt x) (/ y z))
3.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
32×add-exp-log
25×pow1
24×cbrt-prod
22×add-cube-cbrt *-un-lft-identity
20×associate-*r*
18×add-cbrt-cube
16×prod-exp cbrt-unprod
13×associate-*l*
11×times-frac pow-prod-down
8×unswap-sqr
7×pow1/3
6×swap-sqr
4×add-log-exp
3×cbrt-undiv associate-*r/ div-exp *-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (cbrt x))
7.0ms
(* (cbrt x) (/ y z))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
25.0ms
(* (cbrt x) (cbrt x))
28.0ms
(* (cbrt x) (/ y z))
8.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0412728
11756602
25001540

prune83.0ms

Filtered
75 candidates to 127 candidates (-69.3%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh066
Picked011
Done033
Total12710137

Merged error: 0.0b

Counts
137 → 10

regimes523.0ms

Accuracy

95.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 4.7b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13315
23615
33615

end0.0ms

sample694.0ms

Algorithm
intervals
Results
335.0ms9638×body80valid

Profiling

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