Details

Time bar (total: 9.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite17.0ms

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:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
9.0ms
(/ (- x (* y z)) (- t (* a z)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- t (* a z))
31.0ms
(- x (* y z))
66.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify121.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune255.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.6b

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))))
2.8b
(/ x (- t (* a z)))
12.5b
(/ (* y z) (- t (* a z)))

rewrite74.0ms

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:
3.0ms
(- t (* a z))
45.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (* y z) (- t (* a z)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- t (* a z))
102.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
40.0ms
(/ x (- t (* a z)))
53.0ms
(/ (* y z) (- t (* a z)))

simplify119.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07556196
125324463
250024404

prune733.0ms

Filtered
260 candidates to 155 candidates (59.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.8b
(/ x (- t (* a z)))
3.0b
(/ y (/ (- t (* a z)) z))
8.3b
(/ (- t (* a z)) z)

rewrite203.0ms

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:
85.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
7.0ms
(/ y (/ (- t (* a z)) z))
7.0ms
(/ (- t (* a z)) z)

series217.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
36.0ms
(/ x (- t (* a z)))
51.0ms
(/ y (/ (- t (* a z)) z))
35.0ms
(/ (- t (* a z)) z)

simplify301.0ms

Algorithm
egg-herbie
Counts
845 → 845
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0250135235
1500228527

prune3.0s

Filtered
845 candidates to 582 candidates (68.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
0.0b
(- (/ t z) (/ a 1))
2.8b
(/ x (- t (* a z)))
3.0b
(/ y (- (/ t z) (/ a 1)))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
1607×times-frac
1591×add-sqr-sqrt
1140×*-un-lft-identity
769×prod-diff
729×add-cube-cbrt
304×difference-of-squares
132×associate-/r/
104×distribute-lft-out--
85×div-inv
60×flip3-- flip--
28×fma-neg
18×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 → 937
Calls
4 calls:
129.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
25.0ms
(- (/ t z) (/ a 1))
8.0ms
(/ x (- t (* a z)))
30.0ms
(/ y (- (/ t z) (/ a 1)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
26.0ms
(- (/ t z) (/ a 1))
37.0ms
(/ x (- t (* a z)))
33.0ms
(/ y (- (/ t z) (/ a 1)))

simplify534.0ms

Algorithm
egg-herbie
Counts
949 → 949
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0266836399
1500127015

prune1.7s

Filtered
949 candidates to 312 candidates (32.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes221.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0178
1198
2198

end0.0ms

sample573.0ms

Algorithm
intervals
Results
289.0ms8763×body80valid