Details

Time bar (total: 4.5s)

sample29.0ms

Algorithm
intervals
Results
12.0ms269×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

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: 6.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.7b
(/ x (* (- y z) (- t z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- t z))
119.0ms
(/ x (* (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0300403
11371359
25001355

prune183.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New62769
Fresh000
Picked011
Done000
Total62870

Merged error: 0.0b

Counts
70 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
25.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series669.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
178.0ms
(cbrt x)
176.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify65.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05321044
12672853
25002794

prune309.0ms

Filtered
122 candidates to 92 candidates (75.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh336
Picked101
Done011
Total1246130

Merged error: 0.0b

Counts
130 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
1.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
28×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×div-exp distribute-lft-out-- difference-of-squares
8×prod-exp
6×associate-/r/ unswap-sqr
5×pow1 cbrt-undiv associate-/r*
4×cbrt-unprod
3×rec-exp flip3-- 1-exp flip-- div-inv associate-/l*
2×add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 113
Calls
2 calls:
5.0ms
(/ 1 (- y z))
23.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series248.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (- y z))
209.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0488721
12116620
25001580

prune203.0ms

Filtered
119 candidates to 68 candidates (57.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh224
Picked011
Done011
Total1196125

Merged error: 0.0b

Counts
125 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
8.5b
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
8.5b
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
8.5b
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
17×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
6×associate-/r/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div flip3-- flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
6.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
6.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
6.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
351.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
406.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
314.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0236777
1643726
22575697
35001693

prune310.0ms

Filtered
83 candidates to 75 candidates (90.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh123
Picked101
Done022
Total84589

Merged error: 0b

Counts
89 → 5

regimes131.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample607.0ms

Algorithm
intervals
Results
407.0ms8427×body80valid