Details

Time bar (total: 2.7s)

sample28.0ms

Algorithm
intervals
Results
10.0ms284×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
5.0ms
(/ (- x (* y z)) (- t (* a z)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0198291
1705269
22744269
35002269

prune82.0ms

Filtered
35 candidates to 28 candidates (20.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New251035
Fresh000
Picked011
Done000
Total251136

Merged error: 9.7b

Counts
36 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
9.8b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 75
Calls
2 calls:
4.0ms
(/ 1 (- t (* a z)))
9.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series32.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ 1 (- t (* a z)))
21.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify37.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0299549
11422479
25002453

prune86.0ms

Filtered
81 candidates to 44 candidates (45.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New78381
Fresh459
Picked011
Done011
Total821092

Merged error: 9.7b

Counts
92 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

3.8b
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
6.7b
(cbrt (- x (* y z)))
6.7b
(cbrt (- x (* y z)))
6.7b
(cbrt (- x (* y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
16.0ms
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series122.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
31.0ms
(cbrt (- x (* y z)))
34.0ms
(cbrt (- x (* y z)))
31.0ms
(cbrt (- x (* y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05741580
122161427
250021362

prune143.0ms

Filtered
114 candidates to 90 candidates (21.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh077
Picked011
Done022
Total11311124

Merged error: 9.7b

Counts
124 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
8.4b
(cbrt (- t (* a z)))
8.4b
(cbrt (- t (* a z)))
8.4b
(cbrt (- t (* a z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-- flip--
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
11.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
33.0ms
(cbrt (- t (* a z)))
33.0ms
(cbrt (- t (* a z)))
35.0ms
(cbrt (- t (* a z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0467887
11339819
24608785
35001776

prune92.0ms

Filtered
83 candidates to 70 candidates (15.7%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New82183
Fresh077
Picked011
Done033
Total821294

Merged error: 9.7b

Counts
94 → 12

regimes590.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample769.0ms

Algorithm
intervals
Results
327.0ms8794×body80valid

Profiling

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