Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
18.0ms280×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: 11.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.5b
(/ (- 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)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- t (* a z))
55.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220349
1753322
22837322
35001322

prune134.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
4.4b
(/ x (- t (* a z)))
11.5b
(/ (* y z) (- t (* a z)))

rewrite14.0ms

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
8×add-log-exp
6×associate-/r*
4×pow1 flip3-- associate-/r/ flip-- associate-/l*
3×cbrt-undiv div-exp
2×sub-neg frac-2neg diff-log clear-num div-inv
1×prod-exp cbrt-unprod
Counts
4 → 76
Calls
4 calls:
2.0ms
(- t (* a z))
2.0ms
(- t (* a z))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
32.0ms
(- t (* a z))
33.0ms
(/ x (- t (* a z)))
43.0ms
(/ (* y z) (- t (* a z)))

simplify101.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260456
11035405
24437405
35001405

prune217.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.8b
(/ y (/ (- t (* a z)) z))
4.4b
(/ x (- t (* a z)))
8.7b
(/ (- t (* a z)) z)

rewrite22.0ms

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
9×associate-/l*
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/
1×sub-neg diff-log div-sub
Counts
4 → 141
Calls
4 calls:
2.0ms
(- t (* a z))
6.0ms
(/ y (/ (- t (* a z)) z))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (- t (* a z)) z)

series138.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
41.0ms
(/ y (/ (- t (* a z)) z))
37.0ms
(/ x (- t (* a z)))
31.0ms
(/ (- t (* a z)) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04991108
120541042
250011039

prune414.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ t z) a)
2.8b
(/ y (- (/ t z) a))
4.4b
(/ x (- t (* a z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
33×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×distribute-lft-out--
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 97
Calls
4 calls:
2.0ms
(- t (* a z))
10.0ms
(- (/ t z) a)
14.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* a z)))

series121.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* a z))
19.0ms
(- (/ t z) a)
30.0ms
(/ y (- (/ t z) a))
38.0ms
(/ x (- t (* a z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0313613
1900575
22557574
35001574

prune294.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.4b

regimes278.0ms

Accuracy

65.6% (0.5b remaining)

Error of 2.0b against oracle of 1.5b and baseline of 2.9b

bsearch84.0ms

Steps
ItersRangePoint
7
1.021477859416024e+85
2.2535647906515882e+86
1.0351312592687676e+85
7
-18827.10713083014
-1078.7327260164275
-1226.176683934178

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03317
13317

end0.0ms

sample850.0ms

Algorithm
intervals
Results
582.0ms8694×body80valid