Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
8.0ms278×body80valid

simplify96.0ms

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: 10.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
add-exp-log add-cbrt-cube
flip3-- flip--
pow1 associate-/r* associate-/l*
sub-neg diff-log associate-/r/ associate-/l/
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)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- t (* a z))
28.0ms
(- x (* y z))
59.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify90.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune189.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
2.0b
(/ x (- t (* a z)))
10.6b
(/ (* y z) (- t (* a z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
add-log-exp
associate-/r*
pow1 flip3-- associate-/r/ flip-- associate-/l*
cbrt-undiv div-exp
sub-neg frac-2neg diff-log clear-num div-inv
prod-exp cbrt-unprod
Counts
4 → 76
Calls
4 calls:
3.0ms
(- t (* a z))
3.0ms
(- t (* a z))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series142.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* a z))
29.0ms
(- t (* a z))
34.0ms
(/ x (- t (* a z)))
44.0ms
(/ (* y z) (- t (* a z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0260456
11035405
24437405
35001405

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.0b
(/ x (- t (* a z)))
2.5b
(/ y (/ (- t (* a z)) z))
5.9b
(/ (- t (* a z)) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
62×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-/r*
13×add-exp-log add-cbrt-cube
associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp
pow1
flip3-- frac-2neg clear-num associate-/r/ flip--
associate-/l/
sub-neg diff-log div-sub
Counts
4 → 141
Calls
4 calls:
3.0ms
(- t (* a z))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ (- t (* a z)) z)

series140.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
39.0ms
(/ x (- t (* a z)))
42.0ms
(/ y (/ (- t (* a z)) z))
30.0ms
(/ (- t (* a z)) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04991108
120501042
250011039

prune429.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ t z) a)
2.0b
(/ x (- t (* a z)))
2.5b
(/ y (- (/ t z) a))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
33×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×difference-of-squares
associate-/r*
add-exp-log add-cbrt-cube add-log-exp
associate-/l*
distribute-lft-out--
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 97
Calls
4 calls:
3.0ms
(- t (* a z))
10.0ms
(- (/ t z) a)
4.0ms
(/ x (- t (* a z)))
8.0ms
(/ y (- (/ t z) a))

series115.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
23.0ms
(- (/ t z) a)
33.0ms
(/ x (- t (* a z)))
30.0ms
(/ y (- (/ t z) a))

simplify61.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0313613
1900575
22557574
35001574

prune296.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

regimes187.0ms

Accuracy

0% (1.7b remaining)

Error of 3.1b against oracle of 1.5b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample530.0ms

Algorithm
intervals
Results
267.0ms8704×body80valid