Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
7.0ms272×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
8.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite24.0ms

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:
5.0ms
(- t (* a z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- t (* a z))
67.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0220349
1753322
22837322
35001322

prune133.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
1.7b
(/ x (- t (* a z)))
9.2b
(/ (* y z) (- t (* a z)))

rewrite37.0ms

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:
5.0ms
(- t (* a z))
5.0ms
(- t (* a z))
11.0ms
(/ x (- t (* a z)))
14.0ms
(/ (* y z) (- t (* a z)))

series164.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- t (* a z))
34.0ms
(- t (* a z))
55.0ms
(/ x (- t (* a z)))
45.0ms
(/ (* y z) (- t (* a z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260456
11035405
24437405
35001405

prune211.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
1.7b
(/ x (- t (* a z)))
2.9b
(/ y (/ (- t (* a z)) z))
5.9b
(/ (- t (* a z)) z)

rewrite44.0ms

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:
5.0ms
(- t (* a z))
9.0ms
(/ x (- t (* a z)))
12.0ms
(/ y (/ (- t (* a z)) z))
13.0ms
(/ (- t (* a z)) z)

series155.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- t (* a z))
41.0ms
(/ x (- t (* a z)))
46.0ms
(/ y (/ (- t (* a z)) z))
36.0ms
(/ (- t (* a z)) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04991108
120501042
250011039

prune411.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ t z) a)
1.7b
(/ x (- t (* a z)))
2.9b
(/ y (* 1 (- (/ t z) a)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×add-exp-log times-frac
11×add-cbrt-cube
8×add-log-exp
6×associate-/l*
4×pow1 flip3-- div-exp associate-/r* associate-/r/ flip--
3×cbrt-undiv
2×sub-neg frac-2neg diff-log associate-*r/ prod-exp clear-num div-inv difference-of-squares
1×1-exp cbrt-unprod distribute-lft-out--
Counts
4 → 80
Calls
4 calls:
5.0ms
(- t (* a z))
20.0ms
(- (/ t z) a)
9.0ms
(/ x (- t (* a z)))
18.0ms
(/ y (* 1 (- (/ t z) a)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- t (* a z))
21.0ms
(- (/ t z) a)
42.0ms
(/ x (- t (* a z)))
34.0ms
(/ y (* 1 (- (/ t z) a)))

simplify75.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0324459
11067410
23137408
35002407

prune231.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

regimes190.0ms

Accuracy

66.7% (0.5b remaining)

Error of 1.8b against oracle of 1.3b and baseline of 2.7b

bsearch60.0ms

Steps
ItersRangePoint
7
1.2931258416410175e-98
2.00399072007783e-96
8.096739799392277e-97
7
-2.5175681944990486e-119
-6.575211036677186e-121
-2.395869675467655e-120

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
13314

end0.0ms

sample602.0ms

Algorithm
intervals
Results
248.0ms8708×body80valid