Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

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: 10.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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

series115.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- t (* a z))
28.0ms
(- x (* y z))
57.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify111.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune197.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New721183
Fresh000
Picked101
Done000
Total731184

Merged error: 10.2b

Counts
84 → 11

localize9.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ (fma z y (- x)) (fma z a (- t)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
3.0ms
(/ (fma z y (- x)) (fma z a (- t)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (fma z y (- x)) (fma z a (- t)))

simplify94.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
094267
1259245
2954245
33727243
45003243

prune103.0ms

Filtered
32 candidates to 24 candidates (75.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh01010
Picked011
Done000
Total321143

Merged error: 10.2b

Counts
43 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.5b
(/ 1 (- t (* a z)))
9.7b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite45.0ms

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:
5.0ms
(- t (* a z))
5.0ms
(- x (* y z))
7.0ms
(/ 1 (- t (* a z)))
21.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series190.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* a z))
28.0ms
(- x (* y z))
50.0ms
(/ 1 (- t (* a z)))
78.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0380761
11594661
25001633

prune236.0ms

Filtered
131 candidates to 87 candidates (66.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh099
Picked011
Done011
Total13111142

Merged error: 10.2b

Counts
142 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (cbrt (- x (* y z))) (- t (* a z)))
6.5b
(cbrt (- x (* y z)))
6.5b
(cbrt (- x (* y z)))
6.5b
(cbrt (- x (* y z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/l*
5×flip3-- add-cbrt-cube flip--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 90
Calls
4 calls:
6.0ms
(/ (cbrt (- x (* y z))) (- t (* a z)))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(/ (cbrt (- x (* y z))) (- t (* a z)))
111.0ms
(cbrt (- x (* y z)))
116.0ms
(cbrt (- x (* y z)))
112.0ms
(cbrt (- x (* y z)))

simplify101.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0319895
1960861
23843850
35002837

prune295.0ms

Filtered
102 candidates to 86 candidates (84.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh088
Picked011
Done022
Total10211113

Merged error: 10.2b

Counts
113 → 11

regimes265.0ms

Accuracy

0% (0.3b remaining)

Error of 11.0b against oracle of 10.7b and baseline of 11.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105

end0.0ms

sample575.0ms

Algorithm
intervals
Results
322.0ms8703×body80valid

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