Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms277×body80valid

simplify87.0ms

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: 11.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- t (* a z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- t (* a z))
57.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0220349
1753322
22837322
35001322

prune160.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (* 1 (- t (* a z))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
7×add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×flip3-- times-frac div-exp flip-- associate-/l*
2×pow1 cbrt-undiv associate-*r/ prod-exp associate-/r/ associate-/l/
1×sub-neg frac-2neg diff-log 1-exp div-sub clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 39
Calls
2 calls:
2.0ms
(- t (* a z))
8.0ms
(/ (- x (* y z)) (* 1 (- t (* a z))))

series86.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- t (* a z))
56.0ms
(/ (- x (* y z)) (* 1 (- t (* a z))))

simplify99.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0252283
11018239
24544238
35001237

prune111.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
1.5b
(/ y (/ (- t (* a z)) z))
4.5b
(/ x (- t (* a z)))
7.8b
(/ (- t (* a z)) z)

rewrite73.0ms

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:
52.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
6.0ms
(/ y (/ (- t (* a z)) z))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (- t (* a z)) z)

series203.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
43.0ms
(/ y (/ (- t (* a z)) z))
36.0ms
(/ x (- t (* a z)))
35.0ms
(/ (- t (* a z)) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05751367
122661305
250021302

prune486.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
1.5b
(/ y (- (/ t z) a))
4.5b
(/ x (- t (* a z)))

rewrite75.0ms

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:
2.0ms
(- t (* a z))
52.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
14.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* a z)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
78.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
30.0ms
(/ y (- (/ t z) a))
37.0ms
(/ x (- t (* a z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0373779
11077745
23233745
35001745

prune318.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

regimes206.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample535.0ms

Algorithm
intervals
Results
274.0ms8732×body80valid