Details

Time bar (total: 3.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms273×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: 8.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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

series95.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- x (* y z))
64.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify117.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0254397
1873363
23609361
35001354

prune185.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New51960
Fresh000
Picked101
Done000
Total52961

Merged error: 7.7b

Counts
61 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.4b
(/ 1 (- t (* a z)))
7.4b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite27.0ms

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
(- x (* y z))
5.0ms
(/ 1 (- t (* a z)))
15.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series148.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (* y z))
56.0ms
(/ 1 (- t (* a z)))
60.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify58.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0338667
11489581
25001554

prune285.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh358
Picked101
Done000
Total10611117

Merged error: 7.7b

Counts
117 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.3b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.8b
(/ (- t (* a z)) (- x (* y z)))

rewrite23.0ms

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
(- x (* y z))
8.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series331.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (* y z))
228.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
63.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04961441
122251298
250021210

prune345.0ms

Filtered
149 candidates to 89 candidates (59.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1463149
Fresh2810
Picked011
Done000
Total14812160

Merged error: 7.7b

Counts
160 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- x (* y z))
64.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0254397
1873363
23609361
35001354

prune170.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New57360
Fresh3710
Picked011
Done011
Total601272

Merged error: 7.7b

Counts
72 → 12

regimes284.0ms

Accuracy

0% (0.3b remaining)

Error of 10.2b against oracle of 9.9b and baseline of 10.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175
1195
2195

end0.0ms

sample578.0ms

Algorithm
intervals
Results
295.0ms8732×body80valid