Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
7.6b
(/ (- 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))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (* y z))
29.0ms
(- t (* a z))
54.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune161.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.1b
(/ 1 (- t (* a z)))
7.7b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite30.0ms

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)))
17.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series156.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
29.0ms
(- t (* a z))
48.0ms
(/ 1 (- t (* a z)))
51.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333667
11483587
25002561

prune230.0ms

Filtered
111 candidates to 68 candidates (61.3%)
Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.5b

localize13.0ms

Local error

Found 4 expressions with local error:

5.8b
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))

rewrite18.0ms

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)))))
1.0ms
(cbrt (- t (* a z)))
1.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series709.0ms

Counts
4 → 12
Calls
4 calls:
376.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
112.0ms
(cbrt (- t (* a z)))
109.0ms
(cbrt (- t (* a z)))
112.0ms
(cbrt (- t (* a z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0446864
11279789
24567762
35002762

prune306.0ms

Filtered
83 candidates to 73 candidates (88.0%)
Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 7.5b

localize14.0ms

Local error

Found 4 expressions with local error:

3.3b
(/ (- x (* y z)) (cbrt (- t (* a z))))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))
7.4b
(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-/r*
5×flip3-- add-cbrt-cube flip--
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 83
Calls
4 calls:
8.0ms
(/ (- x (* y z)) (cbrt (- t (* a z))))
1.0ms
(cbrt (- t (* a z)))
1.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(/ (- x (* y z)) (cbrt (- t (* a z))))
114.0ms
(cbrt (- t (* a z)))
116.0ms
(cbrt (- t (* a z)))
114.0ms
(cbrt (- t (* a z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0407907
11190873
25001849

prune351.0ms

Filtered
95 candidates to 87 candidates (91.6%)
Pruning

15 alts after pruning (11 fresh and 4 done)

Merged error: 7.5b

regimes317.0ms

Accuracy

0% (0.3b remaining)

Error of 10.2b against oracle of 9.8b and baseline of 10.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample518.0ms

Algorithm
intervals
Results
270.0ms8707×body80valid