Details

Time bar (total: 3.0s)

sample34.0ms

Algorithm
intervals
Results
15.0ms274×body80valid

simplify90.0ms

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: 8.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
8.1b
(/ (- 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))
2.0ms
(- x (* y z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- t (* a z))
32.0ms
(- x (* y z))
52.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune172.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
2.7b
(/ x (- t (* a z)))
7.9b
(/ (* 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)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
29.0ms
(- t (* a z))
37.0ms
(/ x (- t (* a z)))
40.0ms
(/ (* y z) (- t (* a z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260456
11035405
24437405
35001405

prune221.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.7b
(/ x (- t (* a z)))
3.2b
(/ y (/ (- t (* a z)) z))
7.5b
(/ (- t (* a z)) z)

rewrite21.0ms

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))
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:
33.0ms
(- t (* a z))
33.0ms
(/ x (- t (* a z)))
40.0ms
(/ y (/ (- t (* a z)) z))
34.0ms
(/ (- t (* a z)) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04991108
120501042
250011039

prune410.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ t z) a)
2.7b
(/ x (- t (* a z)))
3.2b
(/ y (- (/ t z) a))

rewrite32.0ms

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

series120.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
18.0ms
(- (/ t z) a)
34.0ms
(/ x (- t (* a z)))
34.0ms
(/ y (- (/ t z) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0313613
1900575
22557574
35001574

prune262.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.4b

regimes220.0ms

Accuracy

82.5% (0.3b remaining)

Error of 1.7b against oracle of 1.4b and baseline of 3.1b

bsearch85.0ms

Steps
ItersRangePoint
11
1610.1334651337936
4.971187261949542e+23
99120762.31278326
6
-2.853046082076711e+48
-3.319771106735355e+47
-3.79117106893506e+47

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03533
13533

end0.0ms

sample546.0ms

Algorithm
intervals
Results
282.0ms8722×body80valid