Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms284×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

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: 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))
10.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* 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 → 56
Calls
3 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- t (* a z))
27.0ms
(- x (* y z))
54.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune164.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New56965
Fresh000
Picked101
Done000
Total57966

Merged error: 10.7b

Counts
66 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
3.7b
(/ x (- t (* a z)))
11.0b
(/ (* y z) (- t (* a z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r*
4×pow1 flip3-- associate-/r/ flip-- associate-/l*
3×cbrt-undiv div-exp
2×sub-neg frac-2neg diff-log clear-num div-inv
1×prod-exp cbrt-unprod
Counts
4 → 76
Calls
4 calls:
3.0ms
(- t (* a z))
3.0ms
(- t (* a z))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
32.0ms
(- t (* a z))
33.0ms
(/ x (- t (* a z)))
42.0ms
(/ (* y z) (- t (* a z)))

simplify104.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0260456
11035405
24437405
35001405

prune231.0ms

Filtered
88 candidates to 66 candidates (75.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh538
Picked101
Done000
Total90797

Merged error: 6.2b

Counts
97 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.8b
(/ y (/ (- t (* a z)) z))
3.7b
(/ x (- t (* a z)))
7.6b
(/ (- t (* a z)) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
62×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-/r*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/
1×sub-neg diff-log div-sub
Counts
4 → 141
Calls
4 calls:
3.0ms
(- t (* a z))
6.0ms
(/ y (/ (- t (* a z)) z))
4.0ms
(/ x (- t (* a z)))
7.0ms
(/ (- t (* a z)) z)

series139.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
44.0ms
(/ y (/ (- t (* a z)) z))
33.0ms
(/ x (- t (* a z)))
31.0ms
(/ (- t (* a z)) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04991108
120541042
250011039

prune434.0ms

Filtered
153 candidates to 122 candidates (79.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1503153
Fresh336
Picked101
Done000
Total1546160

Merged error: 1.7b

Counts
160 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ t z) a)
2.8b
(/ y (- (/ t z) a))
3.7b
(/ x (- t (* a z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
33×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×distribute-lft-out--
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 97
Calls
4 calls:
3.0ms
(- t (* a z))
7.0ms
(- (/ t z) a)
8.0ms
(/ y (- (/ t z) a))
6.0ms
(/ x (- t (* a z)))

series115.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
19.0ms
(- (/ t z) a)
32.0ms
(/ y (- (/ t z) a))
34.0ms
(/ x (- t (* a z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0313613
1900575
22557574
35001574

prune280.0ms

Filtered
109 candidates to 81 candidates (74.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1036109
Fresh235
Picked101
Done000
Total1069115

Merged error: 1.7b

Counts
115 → 9

regimes200.0ms

Accuracy

36.2% (1.1b remaining)

Error of 2.5b against oracle of 1.4b and baseline of 3.1b

bsearch91.0ms

Steps
ItersRangePoint
10
5.687206719409336e-177
2.7105149094062125e-164
1.0627976848142006e-164
9
-3.2895035040335747e-226
-9.710570790803096e-234
-2.8616407758964315e-230

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03214
13214

end0.0ms

sample561.0ms

Algorithm
intervals
Results
291.0ms8747×body80valid