Details

Time bar (total: 5.3s)

sample29.0ms

Algorithm
intervals
Results
9.0ms273×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune8.0ms

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: 10.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
10.4b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (* y z))
35.0ms
(- t (* a z))
58.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune224.0ms

Filtered
65 candidates to 50 candidates (23.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New541165
Fresh000
Picked011
Done000
Total541266

Merged error: 10.4b

Counts
66 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.2b
(/ 1 (- t (* a z)))
10.6b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 99
Calls
4 calls:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
9.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- x (* y z))
36.0ms
(- t (* a z))
57.0ms
(/ 1 (- t (* a z)))
58.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0333665
11483585
25002559

prune302.0ms

Filtered
111 candidates to 66 candidates (40.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh1910
Picked011
Done011
Total11112123

Merged error: 10.4b

Counts
123 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
7.2b
(cbrt (- x (* y z)))
7.2b
(cbrt (- x (* y z)))
7.2b
(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)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
127.0ms
(cbrt (- x (* y z)))
124.0ms
(cbrt (- x (* y z)))
128.0ms
(cbrt (- x (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05631556
121811403
250011347

prune754.0ms

Filtered
114 candidates to 90 candidates (21.1%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh099
Picked011
Done022
Total11313126

Merged error: 10.4b

Counts
126 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

7.2b
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
8.2b
(cbrt (- t (* a z)))
8.2b
(cbrt (- t (* a z)))
8.2b
(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:
10.0ms
(/ (- 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)))

series792.0ms

Counts
4 → 12
Calls
4 calls:
411.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
127.0ms
(cbrt (- t (* a z)))
124.0ms
(cbrt (- t (* a z)))
129.0ms
(cbrt (- t (* a z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0446864
11279786
24567759
35001759

prune442.0ms

Filtered
83 candidates to 73 candidates (12.0%)
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New82183
Fresh099
Picked011
Done033
Total821496

Merged error: 10.3b

Counts
96 → 14

regimes726.0ms

Accuracy

0% (0.3b remaining)

Error of 10.2b against oracle of 9.9b and baseline of 10.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample748.0ms

Algorithm
intervals
Results
304.0ms8740×body80valid

Profiling

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