Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
8.0ms295×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: 13.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
13.3b
(/ (- x (* y z)) (- t (* a z)))

rewrite28.0ms

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:
5.0ms
(- t (* a z))
5.0ms
(- x (* y z))
17.0ms
(/ (- x (* y z)) (- t (* a z)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- t (* a z))
30.0ms
(- x (* y z))
65.0ms
(/ (- 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

prune161.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.3b

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))))
3.3b
(/ x (- t (* a z)))
13.6b
(/ (* y z) (- t (* a z)))

rewrite84.0ms

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:
5.0ms
(- t (* a z))
51.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
11.0ms
(/ x (- t (* a z)))
13.0ms
(/ (* y z) (- t (* a z)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
97.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
38.0ms
(/ x (- t (* a z)))
45.0ms
(/ (* y z) (- t (* a z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0332640
11264590
25001590

prune220.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.6b
(/ y (/ (- t (* a z)) z))
3.3b
(/ x (- t (* a z)))
9.7b
(/ (- t (* a z)) z)

rewrite164.0ms

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:
118.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
13.0ms
(/ y (/ (- t (* a z)) z))
9.0ms
(/ x (- t (* a z)))
15.0ms
(/ (- t (* a z)) z)

series227.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
50.0ms
(/ y (/ (- t (* a z)) z))
40.0ms
(/ x (- t (* a z)))
36.0ms
(/ (- t (* a z)) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05751367
122661305
250021302

prune420.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
2.6b
(/ y (- (/ t z) a))
3.3b
(/ x (- t (* a z)))

rewrite128.0ms

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:
5.0ms
(- t (* a z))
84.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
26.0ms
(/ y (- (/ t z) a))
9.0ms
(/ x (- t (* a z)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- t (* a z))
87.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
36.0ms
(/ y (- (/ t z) a))
39.0ms
(/ x (- t (* a z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0373779
11077745
23233745
35001745

prune297.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.6b

regimes190.0ms

Accuracy

55.7% (0.7b remaining)

Error of 2.1b against oracle of 1.4b and baseline of 3.1b

bsearch86.0ms

Steps
ItersRangePoint
10
1.465711324267154e-135
2.04655464864563e-124
2.0107298885659661e-131
8
-1.7545934250020993e-137
-5.009160470550887e-142
-1.0685065264220678e-138

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03525
13525

end0.0ms

sample613.0ms

Algorithm
intervals
Results
255.0ms8754×body80valid