Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
11.0ms286×body80valid

simplify141.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.7b
(/ (- 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)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- t (* a z))
29.0ms
(- x (* y z))
59.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune249.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New691483
Fresh000
Picked101
Done000
Total701484

Merged error: 10.6b

Counts
84 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.3b
(/ x (- t (* a z)))
11.0b
(/ (* y z) (- t (* a z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
138×prod-diff
121×add-sqr-sqrt
118×*-un-lft-identity
116×add-cube-cbrt
58×associate-/r/
31×flip3-- flip--
29×div-inv
18×fma-neg
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×sub-neg frac-2neg diff-log clear-num difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 248
Calls
4 calls:
3.0ms
(- t (* a z))
21.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (* y z) (- t (* a z)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- t (* a z))
91.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
40.0ms
(/ x (- t (* a z)))
42.0ms
(/ (* y z) (- t (* a z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07556196
125324463
250024404

prune594.0ms

Filtered
260 candidates to 155 candidates (59.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2555260
Fresh8513
Picked101
Done000
Total26410274

Merged error: 6.0b

Counts
274 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.3b
(/ x (- t (* a z)))
2.3b
(* y (/ z (- t (* a z))))
7.3b
(/ z (- t (* a z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
42×add-cube-cbrt *-un-lft-identity
15×fma-neg associate-*r* prod-diff
13×add-exp-log add-cbrt-cube
10×associate-/r/
6×pow1 flip3-- associate-/r* flip-- associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv associate-*r/ div-exp associate-*l*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 144
Calls
4 calls:
9.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
4.0ms
(/ x (- t (* a z)))
12.0ms
(* y (/ z (- t (* a z))))
5.0ms
(/ z (- t (* a z)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
37.0ms
(/ x (- t (* a z)))
50.0ms
(* y (/ z (- t (* a z))))
55.0ms
(/ z (- t (* a z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04481232
118291108
250011102

prune402.0ms

Filtered
156 candidates to 123 candidates (78.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1551156
Fresh189
Picked101
Done000
Total1579166

Merged error: 6.0b

Counts
166 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
2.3b
(/ x (- t (* a z)))
2.3b
(* y (* z (/ 1 (- t (* a z)))))
7.1b
(* z (/ 1 (- t (* a z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×add-exp-log
30×*-un-lft-identity
29×add-cube-cbrt times-frac
22×add-cbrt-cube
16×associate-*r*
13×prod-exp
12×pow1
7×div-exp cbrt-unprod
6×associate-*l* associate-/r* associate-/r/ associate-/l*
4×cbrt-undiv expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×rec-exp flip3-- 1-exp flip-- div-inv unswap-sqr
2×frac-2neg clear-num un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 132
Calls
4 calls:
5.0ms
(/ 1 (- t (* a z)))
5.0ms
(/ x (- t (* a z)))
9.0ms
(* y (* z (/ 1 (- t (* a z)))))
13.0ms
(* z (/ 1 (- t (* a z))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ 1 (- t (* a z)))
38.0ms
(/ x (- t (* a z)))
46.0ms
(* y (* z (/ 1 (- t (* a z)))))
57.0ms
(* z (/ 1 (- t (* a z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0391809
11674691
25002665

prune305.0ms

Filtered
144 candidates to 94 candidates (65.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1440144
Fresh088
Picked011
Done000
Total1449153

Merged error: 6.0b

Counts
153 → 9

regimes320.0ms

Accuracy

0% (1.5b remaining)

Error of 8.2b against oracle of 6.7b and baseline of 8.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1189

end0.0ms

sample622.0ms

Algorithm
intervals
Results
351.0ms8783×body80valid