Details

Time bar (total: 7.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify92.0ms

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: 12.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
11.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
3.0ms
(- x (* y z))
9.0ms
(/ (- x (* y z)) (- t (* a z)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- x (* y z))
58.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0254397
1873363
23609361
35001354

prune179.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.6b
(/ x (- t (* a z)))
11.1b
(/ (* y z) (- t (* a z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
135×prod-diff
118×add-sqr-sqrt
115×*-un-lft-identity
113×add-cube-cbrt
58×associate-/r/
30×flip3-- flip--
29×div-inv
15×fma-neg
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u distribute-rgt-out-- div-exp log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg diff-log prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
3 → 228
Calls
3 calls:
40.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (* y z) (- t (* a z)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
39.0ms
(/ x (- t (* a z)))
43.0ms
(/ (* y z) (- t (* a z)))

simplify101.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07276102
124774381
250014323

prune548.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize9.0ms

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))
3.6b
(/ x (- t (* a z)))
9.7b
(/ (- t (* a z)) z)

rewrite187.0ms

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:
82.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
7.0ms
(/ y (/ (- t (* a z)) z))
4.0ms
(/ x (- t (* a z)))
7.0ms
(/ (- t (* a z)) z)

series205.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
43.0ms
(/ y (/ (- t (* a z)) z))
40.0ms
(/ x (- t (* a z)))
32.0ms
(/ (- t (* a z)) z)

simplify300.0ms

Algorithm
egg-herbie
Counts
845 → 845
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0250135235
1500228517

prune2.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
2.6b
(/ y (- (/ t z) (/ a 1)))
3.6b
(/ x (- t (* a z)))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
1384×add-sqr-sqrt
1355×times-frac
942×*-un-lft-identity
600×prod-diff
539×add-cube-cbrt
298×difference-of-squares
132×associate-/r/
102×distribute-lft-out--
59×flip3-- flip--
58×div-inv
17×frac-sub
15×fma-neg
14×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log
Counts
3 → 732
Calls
3 calls:
126.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
34.0ms
(/ y (- (/ t z) (/ a 1)))
5.0ms
(/ x (- t (* a z)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
36.0ms
(/ y (- (/ t z) (/ a 1)))
35.0ms
(/ x (- t (* a z)))

simplify245.0ms

Algorithm
egg-herbie
Counts
741 → 741
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0209232255
1500124163

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.0b

regimes182.0ms

Accuracy

77.7% (0.5b remaining)

Error of 1.8b against oracle of 1.4b and baseline of 3.4b

bsearch115.0ms

Steps
ItersRangePoint
10
5.587164922150547e-13
0.022232502555316024
0.014498322822577354
10
-5.370200991819469e-17
-4.269709194350964e-29
-5.3156609974113034e-17

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03724
13924
23924

end0.0ms

sample557.0ms

Algorithm
intervals
Results
299.0ms8686×body80valid