Details

Time bar (total: 8.6s)

sample24.0ms

Algorithm
intervals
Results
8.0ms295×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
13.3b
(/ (- x (* y z)) (- t (* a z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
9.0ms
(- t (* a z))
6.0ms
(- x (* y z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- t (* a z))
32.0ms
(- x (* y z))
67.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune253.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.3b

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))))
3.3b
(/ x (- t (* a z)))
13.6b
(/ (* y z) (- t (* a z)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
138×prod-diff
121×add-sqr-sqrt
118×*-un-lft-identity
116×add-cube-cbrt
58×associate-/r/
31×flip3-- flip--
29×div-inv
18×fma-neg
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u 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 → 248
Calls
4 calls:
6.0ms
(- t (* a z))
71.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
10.0ms
(/ x (- t (* a z)))
17.0ms
(/ (* y z) (- t (* a z)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* a z))
105.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
41.0ms
(/ x (- t (* a z)))
53.0ms
(/ (* y z) (- t (* a z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07556196
125324463
250024404

prune668.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.6b
(/ y (/ (- t (* a z)) z))
3.3b
(/ x (- t (* a z)))
9.7b
(/ (- t (* a z)) z)

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
1499×times-frac
923×add-sqr-sqrt
908×*-un-lft-identity
902×add-cube-cbrt
660×prod-diff
112×div-inv
108×associate-/r/
48×flip3-- flip--
19×associate-/r*
15×fma-neg
13×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 833
Calls
4 calls:
114.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
13.0ms
(/ y (/ (- t (* a z)) z))
9.0ms
(/ x (- t (* a z)))
15.0ms
(/ (- t (* a z)) z)

series241.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
56.0ms
(/ y (/ (- t (* a z)) z))
41.0ms
(/ x (- t (* a z)))
36.0ms
(/ (- t (* a z)) z)

simplify267.0ms

Algorithm
egg-herbie
Counts
845 → 845
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0250135235
1500228517

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
2.6b
(/ y (- (/ t z) (/ a 1)))
3.3b
(/ x (- t (* a z)))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
1387×add-sqr-sqrt
1355×times-frac
945×*-un-lft-identity
603×prod-diff
542×add-cube-cbrt
298×difference-of-squares
132×associate-/r/
102×distribute-lft-out--
60×flip3-- flip--
58×div-inv
18×fma-neg
17×frac-sub
14×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
Counts
4 → 752
Calls
4 calls:
6.0ms
(- t (* a z))
169.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
41.0ms
(/ y (- (/ t z) (/ a 1)))
13.0ms
(/ x (- t (* a z)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* a z))
97.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
37.0ms
(/ y (- (/ t z) (/ a 1)))
53.0ms
(/ x (- t (* a z)))

simplify245.0ms

Algorithm
egg-herbie
Counts
764 → 764
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0211732348
1500124246

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.6b

regimes232.0ms

Accuracy

-43% (2.4b remaining)

Error of 3.8b against oracle of 1.4b and baseline of 3.1b

bsearch83.0ms

Steps
ItersRangePoint
9
1.904301469460216e-123
1.8354663462989302e-115
2.5710495735949027e-123
7
-1.8361115033304644e-153
-6.038666221646788e-155
-1.4221470474870838e-154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03215
13415
23415

end0.0ms

sample629.0ms

Algorithm
intervals
Results
268.0ms8754×body80valid