Details

Time bar (total: 3.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

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: 10.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
3.0ms
(- t (* a z))
10.0ms
(/ (- x (* y z)) (- t (* a z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- t (* a z))
58.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0246397
1829362
23584358
35001351

prune159.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New501060
Fresh000
Picked011
Done000
Total501161

Merged error: 10.3b

Counts
61 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.7b
(/ 1 (- t (* a z)))
10.1b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 99
Calls
3 calls:
3.0ms
(- t (* a z))
5.0ms
(/ 1 (- t (* a z)))
13.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series145.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- t (* a z))
55.0ms
(/ 1 (- t (* a z)))
58.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify58.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0350667
11547579
25002552

prune229.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh279
Picked011
Done011
Total10811119

Merged error: 10.3b

Counts
119 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.2b
(/ (- t (* a z)) (- x (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-- flip--
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 140
Calls
3 calls:
3.0ms
(- t (* a z))
8.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.0ms
(/ (- t (* a z)) (- x (* y z)))

series310.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- t (* a z))
216.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
61.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05141441
123121298
250031210

prune268.0ms

Filtered
149 candidates to 88 candidates (59.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1463149
Fresh268
Picked101
Done022
Total14911160

Merged error: 10.3b

Counts
160 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

7.6b
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
9.3b
(cbrt (- t (* a z)))
9.3b
(cbrt (- t (* a z)))
9.3b
(cbrt (- t (* a z)))

rewrite21.0ms

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 expm1-log1p-u frac-times log1p-expm1-u 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 → 79
Calls
4 calls:
12.0ms
(/ (- 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)))

series807.0ms

Counts
4 → 12
Calls
4 calls:
421.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
124.0ms
(cbrt (- t (* a z)))
132.0ms
(cbrt (- t (* a z)))
128.0ms
(cbrt (- t (* a z)))

simplify130.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0461909
11349833
24933803
35001803

prune296.0ms

Filtered
91 candidates to 81 candidates (89.0%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh088
Picked011
Done022
Total9111102

Merged error: 10.3b

Counts
102 → 11

regimes274.0ms

Accuracy

0% (0.3b remaining)

Error of 10.5b against oracle of 10.2b and baseline of 10.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample594.0ms

Algorithm
intervals
Results
332.0ms8711×body80valid