Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms279×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

series119.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- t (* a z))
29.0ms
(- x (* y z))
56.0ms
(/ (- 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

prune166.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.1b
(/ x (- t (* a z)))
9.8b
(/ (* y z) (- t (* a z)))

rewrite30.0ms

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:
3.0ms
(- t (* a z))
16.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
89.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
34.0ms
(/ x (- t (* a z)))
41.0ms
(/ (* y z) (- t (* a z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0332640
11264590
25001590

prune251.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
3.1b
(/ x (- t (* a z)))
4.4b
(/ y (/ (- t (* a z)) z))
8.1b
(/ (- t (* a z)) z)

rewrite60.0ms

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:
38.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
7.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ (- t (* a z)) z)

series206.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
36.0ms
(/ x (- t (* a z)))
46.0ms
(/ y (/ (- t (* a z)) z))
32.0ms
(/ (- t (* a z)) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05751367
122621305
250011302

prune451.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
3.1b
(/ x (- t (* a z)))
4.4b
(/ y (- (/ t z) a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
42×*-un-lft-identity
39×times-frac
23×add-cube-cbrt
12×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
1×frac-sub
Counts
4 → 102
Calls
4 calls:
3.0ms
(- t (* a z))
25.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
4.0ms
(/ x (- t (* a z)))
8.0ms
(/ y (- (/ t z) a))

series175.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
78.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
34.0ms
(/ x (- t (* a z)))
33.0ms
(/ y (- (/ t z) a))

simplify73.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0373779
11077745
23233745
35001745

prune284.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

regimes183.0ms

Accuracy

74.7% (0.4b remaining)

Error of 1.7b against oracle of 1.4b and baseline of 2.9b

bsearch107.0ms

Steps
ItersRangePoint
10
7.272544212502063e-15
125490.8565836802
61778.81191081205
10
-4.303037724750168e+51
-6.559069104573772e+41
-6.614459018412128e+41

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03532
13532

end0.0ms

sample502.0ms

Algorithm
intervals
Results
260.0ms8677×body80valid