Details

Time bar (total: 3.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms273×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
13.1b
(/ (- 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:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (* y z))
29.0ms
(- t (* a z))
57.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify89.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune164.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New531265
Fresh000
Picked011
Done000
Total531366

Merged error: 13.1b

Counts
66 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.7b
(/ 1 (- t (* a z)))
12.4b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite22.0ms

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:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
32.0ms
(- t (* a z))
46.0ms
(/ 1 (- t (* a z)))
56.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0333667
11483587
25002561

prune205.0ms

Filtered
111 candidates to 68 candidates (61.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh11011
Picked011
Done011
Total11113124

Merged error: 13.1b

Counts
124 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

11.2b
(cbrt (- t (* a z)))
11.2b
(cbrt (- t (* a z)))
11.2b
(cbrt (- t (* a z)))
13.1b
(/ (- x (* y z)) (* (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))) (cbrt (- t (* a z)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
31×flip3-- flip--
28×frac-times
26×associate-/r/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
17.0ms
(/ (- x (* y z)) (* (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))) (cbrt (- t (* a z)))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (- t (* a z)))
113.0ms
(cbrt (- t (* a z)))
110.0ms
(cbrt (- t (* a z)))
85.0ms
(/ (- x (* y z)) (* (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))) (cbrt (- t (* a z)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05491367
115781248
250021174

prune306.0ms

Filtered
103 candidates to 76 candidates (73.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh01010
Picked011
Done022
Total10313116

Merged error: 13.1b

Counts
116 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

4.3b
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
11.2b
(cbrt (- t (* a z)))
11.2b
(cbrt (- t (* a z)))
11.2b
(cbrt (- t (* a z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-- associate-/r/ flip--
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
24.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series594.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
114.0ms
(cbrt (- t (* a z)))
118.0ms
(cbrt (- t (* a z)))
118.0ms
(cbrt (- t (* a z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06391873
127871621
250011482

prune347.0ms

Filtered
131 candidates to 91 candidates (69.5%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1310131
Fresh099
Picked011
Done033
Total13113144

Merged error: 13.1b

Counts
144 → 13

regimes285.0ms

Accuracy

0% (0.3b remaining)

Error of 11.0b against oracle of 10.7b and baseline of 11.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample589.0ms

Algorithm
intervals
Results
322.0ms8689×body80valid