Details

Time bar (total: 3.9s)

sample38.0ms

Algorithm
intervals
Results
22.0ms365×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
6.4b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

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×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ (- (* x y) (* z t)) a)

series101.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* x y) (* z t))
51.0ms
(/ (- (* x y) (* z t)) a)

simplify98.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune177.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.0b
(/ (* t z) a)
5.8b
(/ (* x y) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
13.0ms
(- (/ (* x y) a) (/ (* t z) a))
3.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series121.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- (/ (* x y) a) (/ (* t z) a))
21.0ms
(/ (* t z) a)
22.0ms
(/ (* x y) a)

simplify73.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04721466
119691032
250011024

prune291.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* x y) a) (/ 1 (/ a (* t z))))
0.4b
(/ 1 (/ a (* t z)))
5.1b
(/ a (* t z))
5.8b
(/ (* x y) a)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
332×times-frac
183×add-sqr-sqrt
182×prod-diff
180×*-un-lft-identity
176×add-cube-cbrt
63×div-inv
35×add-exp-log
23×add-cbrt-cube
16×div-exp
11×associate-/r*
9×cbrt-undiv
8×associate-/r/
7×fma-neg associate-/l*
6×add-log-exp
5×pow1 prod-exp
4×expm1-log1p-u log1p-expm1-u
3×rec-exp frac-2neg 1-exp clear-num cbrt-unprod difference-of-squares
2×distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 313
Calls
4 calls:
32.0ms
(- (/ (* x y) a) (/ 1 (/ a (* t z))))
6.0ms
(/ 1 (/ a (* t z)))
3.0ms
(/ a (* t z))
3.0ms
(/ (* x y) a)

series148.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (/ (* x y) a) (/ 1 (/ a (* t z))))
32.0ms
(/ 1 (/ a (* t z)))
23.0ms
(/ a (* t z))
23.0ms
(/ (* x y) a)

simplify139.0ms

Algorithm
egg-herbie
Counts
325 → 325
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
011356817
146184123
250014102

prune446.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ a (* t z)))
0.6b
(/ 1 (/ a (* x y)))
5.1b
(/ a (* t z))
5.7b
(/ a (* x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
56×add-exp-log
40×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-cbrt-cube
28×div-exp
16×associate-/r*
14×cbrt-undiv
12×div-inv associate-/l*
8×prod-exp
6×pow1 rec-exp 1-exp
4×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
2×pow-flip associate-/r/ inv-pow
Counts
4 → 162
Calls
4 calls:
7.0ms
(/ 1 (/ a (* t z)))
6.0ms
(/ 1 (/ a (* x y)))
3.0ms
(/ a (* t z))
3.0ms
(/ a (* x y))

series100.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1 (/ a (* t z)))
23.0ms
(/ 1 (/ a (* x y)))
29.0ms
(/ a (* t z))
24.0ms
(/ a (* x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0501842
12414712
25001640

prune357.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes516.0ms

Accuracy

86.2% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 8.0b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04940
15340
25340

end0.0ms

sample1.1s

Algorithm
intervals
Results
716.0ms11188×body80valid