Details

Time bar (total: 7.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms283×body80valid

simplify114.0ms

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: 11.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
10.8b
(/ (- 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)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- x (* y z))
66.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0254397
1873363
23609361
35001354

prune183.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New51960
Fresh000
Picked011
Done000
Total511061

Merged error: 10.8b

Counts
61 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.7b
(/ (- 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))))
7.0ms
(/ (- t (* a z)) (- x (* y z)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- x (* y z))
228.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
59.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04961441
122251298
250021210

prune353.0ms

Filtered
149 candidates to 87 candidates (58.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1463149
Fresh358
Picked011
Done011
Total14910159

Merged error: 10.7b

Counts
159 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.1b
(/ 1 (- x (* y z)))
0.4b
(/ 1 (- t (* a z)))
10.6b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- flip-- div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg prod-diff clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 379
Calls
4 calls:
3.0ms
(- x (* y z))
5.0ms
(/ 1 (- x (* y z)))
5.0ms
(/ 1 (- t (* a z)))
15.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- x (* y z))
53.0ms
(/ 1 (- x (* y z)))
51.0ms
(/ 1 (- t (* a z)))
229.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify101.0ms

Algorithm
egg-herbie
Counts
391 → 391
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
015935349
150014842

prune869.0ms

Filtered
391 candidates to 201 candidates (51.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3901391
Fresh167
Picked011
Done022
Total39110401

Merged error: 10.7b

Counts
401 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (- t (* a z)))
1.4b
(* (* (/ 1 (- t (* a z))) (fma z y x)) (- x (* y z)))
10.6b
(* (/ 1 (- t (* a z))) (fma z y x))
19.2b
(* (* (* (/ 1 (- t (* a z))) (fma z y x)) (- x (* y z))) (/ 1 (+ x (* y z))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
126×add-exp-log
73×prod-exp
52×add-cbrt-cube
37×add-sqr-sqrt
31×*-un-lft-identity
30×add-cube-cbrt
29×times-frac
26×div-exp
25×cbrt-unprod
21×pow1 associate-*r*
18×associate-*l/
17×associate-*l*
13×rec-exp 1-exp
11×frac-times
10×pow-prod-down
9×cbrt-undiv
8×flip3-- flip--
7×associate-*r/
6×distribute-rgt-in distribute-lft-in prod-diff associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* *-commutative div-inv associate-/l* unswap-sqr
2×sub-neg fma-udef
1×pow-flip frac-2neg flip3-+ clear-num un-div-inv flip-+ inv-pow
Counts
4 → 188
Calls
4 calls:
5.0ms
(/ 1 (- t (* a z)))
12.0ms
(* (* (/ 1 (- t (* a z))) (fma z y x)) (- x (* y z)))
9.0ms
(* (/ 1 (- t (* a z))) (fma z y x))
24.0ms
(* (* (* (/ 1 (- t (* a z))) (fma z y x)) (- x (* y z))) (/ 1 (+ x (* y z))))

series2.8s

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ 1 (- t (* a z)))
1.6s
(* (* (/ 1 (- t (* a z))) (fma z y x)) (- x (* y z)))
240.0ms
(* (/ 1 (- t (* a z))) (fma z y x))
907.0ms
(* (* (* (/ 1 (- t (* a z))) (fma z y x)) (- x (* y z))) (/ 1 (+ x (* y z))))

simplify139.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
08592114
148921597
250011597

prune515.0ms

Filtered
200 candidates to 116 candidates (58.0%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1991200
Fresh156
Picked011
Done033
Total20010210

Merged error: 10.7b

Counts
210 → 10

regimes267.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample547.0ms

Algorithm
intervals
Results
280.0ms8677×body80valid