Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms279×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize9.0ms

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))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- t (* a z))
28.0ms
(- x (* y z))
54.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune186.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.6b

localize10.0ms

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)))

rewrite29.0ms

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))
14.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (* y z) (- t (* a z)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
86.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
34.0ms
(/ x (- t (* a z)))
44.0ms
(/ (* y z) (- t (* a z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0332640
11264590
25001590

prune245.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize10.0ms

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)

rewrite59.0ms

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:
37.0ms
(- (/ 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)

series197.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
34.0ms
(/ x (- t (* a z)))
45.0ms
(/ y (/ (- t (* a z)) z))
31.0ms
(/ (- t (* a z)) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05751367
122621305
250011302

prune435.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
23×add-cube-cbrt
14×difference-of-squares
9×associate-/r* distribute-lft-out--
8×add-exp-log add-cbrt-cube 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 → 105
Calls
4 calls:
29.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
7.0ms
(- (/ t z) a)
4.0ms
(/ x (- t (* a z)))
8.0ms
(/ y (- (/ t z) a))

series169.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
24.0ms
(- (/ t z) a)
36.0ms
(/ x (- t (* a z)))
30.0ms
(/ y (- (/ t z) a))

simplify91.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0368800
11059766
23182765
35001765

prune289.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

regimes170.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample578.0ms

Algorithm
intervals
Results
300.0ms8763×body80valid