Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify83.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
11.6b
(/ (- 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:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series112.0ms

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

simplify82.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune163.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.8b
(/ x (- t (* a z)))
12.5b
(/ (* y z) (- t (* a z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip--
4×pow1 div-inv 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 → 84
Calls
4 calls:
2.0ms
(- t (* a z))
30.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
89.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
38.0ms
(/ x (- t (* a z)))
41.0ms
(/ (* y z) (- t (* a z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0332640
11264590
25001590

prune287.0ms

Filtered
96 candidates to 72 candidates (75.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.8b
(/ x (- t (* a z)))
3.0b
(/ y (/ (- t (* a z)) z))
8.3b
(/ (- t (* a z)) z)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
50.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ (- t (* a z)) z)

series196.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
34.0ms
(/ x (- t (* a z)))
43.0ms
(/ y (/ (- t (* a z)) z))
31.0ms
(/ (- t (* a z)) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05751367
122621305
250011302

prune443.0ms

Filtered
162 candidates to 129 candidates (79.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (* 1 (- (/ t z) a))))
0.0b
(- (/ t z) a)
2.8b
(/ x (- t (* a z)))
3.0b
(/ y (* 1 (- (/ t z) a)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×*-un-lft-identity
16×times-frac
14×add-cube-cbrt
13×add-exp-log
11×add-cbrt-cube
8×add-log-exp
6×associate-/l*
4×pow1 flip3-- div-exp associate-/r* associate-/r/ flip-- difference-of-squares
3×cbrt-undiv distribute-lft-out--
2×sub-neg frac-2neg diff-log associate-*r/ prod-exp clear-num div-inv
1×1-exp frac-sub cbrt-unprod
Counts
4 → 85
Calls
4 calls:
28.0ms
(- (/ x (- t (* a z))) (/ y (* 1 (- (/ t z) a))))
10.0ms
(- (/ t z) a)
4.0ms
(/ x (- t (* a z)))
9.0ms
(/ y (* 1 (- (/ t z) a)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (/ x (- t (* a z))) (/ y (* 1 (- (/ t z) a))))
22.0ms
(- (/ t z) a)
33.0ms
(/ x (- t (* a z)))
30.0ms
(/ y (* 1 (- (/ t z) a)))

simplify103.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0377619
11260569
24058563
35001562

prune235.0ms

Filtered
97 candidates to 72 candidates (74.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

regimes182.0ms

Accuracy

0% (1.6b remaining)

Error of 2.9b against oracle of 1.3b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample565.0ms

Algorithm
intervals
Results
285.0ms8763×body80valid