Details

Time bar (total: 4.2s)

sample29.0ms

Algorithm
intervals
Results
17.0ms285×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.3b
(/ (- 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
(- t (* a z))
2.0ms
(- x (* y z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- t (* a z))
28.0ms
(- x (* y z))
57.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune169.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.3b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.2b
(/ (- t (* a z)) (- x (* y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 140
Calls
4 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
9.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.0ms
(/ (- t (* a z)) (- x (* y z)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
31.0ms
(- x (* y z))
201.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
56.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04971437
122451305
250011219

prune285.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.2b

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (cbrt (- t (* a z))) (- x (* y z)))
7.7b
(cbrt (- t (* a z)))
7.7b
(cbrt (- t (* a z)))
7.7b
(cbrt (- t (* a z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/l*
5×flip3-- add-cbrt-cube flip--
4×pow1 add-log-exp
3×pow1/3 associate-/r*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 82
Calls
4 calls:
7.0ms
(/ (cbrt (- t (* a z))) (- x (* y z)))
1.0ms
(cbrt (- t (* a z)))
1.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ (cbrt (- t (* a z))) (- x (* y z)))
113.0ms
(cbrt (- t (* a z)))
111.0ms
(cbrt (- t (* a z)))
111.0ms
(cbrt (- t (* a z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0308857
1917823
23632813
35001807

prune327.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.2b

localize15.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (cbrt (- x (* y z))) (- t (* a z)))
8.4b
(cbrt (- x (* y z)))
8.4b
(cbrt (- x (* y z)))
8.4b
(cbrt (- x (* y z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/l*
5×flip3-- add-cbrt-cube flip--
4×pow1 add-log-exp
3×pow1/3 associate-/r*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 82
Calls
4 calls:
7.0ms
(/ (cbrt (- x (* y z))) (- t (* a z)))
1.0ms
(cbrt (- x (* y z)))
1.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series505.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(/ (cbrt (- x (* y z))) (- t (* a z)))
112.0ms
(cbrt (- x (* y z)))
112.0ms
(cbrt (- x (* y z)))
110.0ms
(cbrt (- x (* y z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0308857
1917823
23634813
35001807

prune286.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 10.2b

regimes304.0ms

Accuracy

0% (0.6b remaining)

Error of 10.8b against oracle of 10.2b and baseline of 10.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample805.0ms

Algorithm
intervals
Results
541.0ms8752×body80valid