Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify83.0ms

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: 11.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
11.6b
(/ (- 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:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (* y z))
45.0ms
(- t (* a z))
251.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify120.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune163.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New531265
Fresh000
Picked101
Done000
Total541266

Merged error: 11.6b

Counts
66 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
1.0b
(/ 1 (- t (* a z)))
11.0b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite23.0ms

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))))

series152.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
28.0ms
(- t (* a z))
43.0ms
(/ 1 (- t (* a z)))
53.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333667
11483587
25002561

prune194.0ms

Filtered
111 candidates to 69 candidates (62.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1092111
Fresh2911
Picked011
Done000
Total11112123

Merged error: 11.5b

Counts
123 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.7b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.6b
(/ (- t (* a z)) (- x (* y z)))

rewrite28.0ms

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:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
11.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- x (* y z))
29.0ms
(- t (* a z))
204.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
52.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04971437
122451305
250011219

prune242.0ms

Filtered
152 candidates to 87 candidates (57.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1511152
Fresh01010
Picked011
Done011
Total15113164

Merged error: 11.5b

Counts
164 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
10.5b
(cbrt (- t (* a z)))
10.5b
(cbrt (- t (* a z)))
10.5b
(cbrt (- t (* a z)))

rewrite20.0ms

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)))
3.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series706.0ms

Counts
4 → 12
Calls
4 calls:
388.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
104.0ms
(cbrt (- t (* a z)))
108.0ms
(cbrt (- t (* a z)))
106.0ms
(cbrt (- t (* a z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0446864
11279789
24567762
35002762

prune239.0ms

Filtered
83 candidates to 73 candidates (88.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh1910
Picked011
Done022
Total831396

Merged error: 11.5b

Counts
96 → 13

regimes211.0ms

Accuracy

0% (0.4b remaining)

Error of 10.4b against oracle of 10.0b and baseline of 10.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample531.0ms

Algorithm
intervals
Results
273.0ms8675×body80valid