Details

Time bar (total: 4.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms281×body80valid

simplify117.0ms

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: 10.4b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- t (* a z))
36.0ms
(- x (* y z))
59.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify134.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune231.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75883
Fresh000
Picked101
Done000
Total76884

Merged error: 10.1b

Counts
84 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.7b
(/ 1 (- t (* a z)))
9.6b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- fma-neg prod-diff flip--
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
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 → 119
Calls
4 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
5.0ms
(/ 1 (- t (* a z)))
11.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- t (* a z))
30.0ms
(- x (* y z))
50.0ms
(/ 1 (- t (* a z)))
61.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0380761
11594661
25001633

prune282.0ms

Filtered
131 candidates to 88 candidates (67.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1292131
Fresh077
Picked011
Done000
Total12910139

Merged error: 10.1b

Counts
139 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×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×fma-neg prod-diff div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 160
Calls
4 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
9.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.0ms
(/ (- t (* a z)) (- x (* y z)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- t (* a z))
34.0ms
(- x (* y z))
219.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
62.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05441535
123681380
250031291

prune341.0ms

Filtered
172 candidates to 105 candidates (61.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1684172
Fresh448
Picked011
Done011
Total17210182

Merged error: 10.1b

Counts
182 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.4b
(/ 1 (- x (* y z)))
0.7b
(/ 1 (- t (* a z)))
9.5b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite56.0ms

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)))
19.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series357.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (* y z))
47.0ms
(/ 1 (- x (* y z)))
55.0ms
(/ 1 (- t (* a z)))
220.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify96.0ms

Algorithm
egg-herbie
Counts
391 → 391
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
015935349
150014842

prune673.0ms

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: 10.1b

Counts
401 → 10

regimes198.0ms

Accuracy

0% (0.4b remaining)

Error of 10.3b against oracle of 9.9b and baseline of 10.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0176
1176

end0.0ms

sample622.0ms

Algorithm
intervals
Results
342.0ms8722×body80valid