Details

Time bar (total: 2.3s)

sample31.0ms

Algorithm
intervals
Results
14.0ms312×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

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: 5.6b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

5.4b
(* x (/ y z))

rewrite7.0ms

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:
6.0ms
(* 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

prune66.0ms

Filtered
35 candidates to 24 candidates (31.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New27835
Fresh101
Picked011
Done000
Total28937

Merged error: 0.0b

Counts
37 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.5b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
24.0ms
(cbrt z)
22.0ms
(cbrt z)
26.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0317515
11323431
25002375

prune87.0ms

Filtered
75 candidates to 52 candidates (30.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done011
Total75984

Merged error: 0.0b

Counts
84 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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)
16.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt z)
22.0ms
(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

prune105.0ms

Filtered
104 candidates to 77 candidates (26.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh066
Picked011
Done112
Total1049113

Merged error: 0b

Counts
113 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
6.0b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series75.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt y)
8.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0376615
11991524
25001464

prune67.0ms

Filtered
92 candidates to 62 candidates (32.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh066
Picked011
Done022
Total929101

Merged error: 0b

Counts
101 → 9

regimes492.0ms

Accuracy

96.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.5b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02414
12714
2338
3368
4428
5538
6608
7618
8618

end0.0ms

sample742.0ms

Algorithm
intervals
Results
320.0ms9559×body80valid

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