Details

Time bar (total: 5.3s)

sample28.0ms

Algorithm
intervals
Results
9.0ms366×body80valid

simplify15.0ms

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: 7.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.8b
(/ (- (* x y) (* z t)) a)

rewrite30.0ms

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:
9.0ms
(- (* x y) (* z t))
20.0ms
(/ (- (* x y) (* z t)) a)

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (* x y) (* z t))
49.0ms
(/ (- (* x y) (* z t)) a)

simplify90.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune150.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
4.7b
(/ (* t z) a)
6.6b
(/ (* x y) a)

rewrite49.0ms

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:
22.0ms
(- (/ (* x y) a) (/ (* t z) a))
12.0ms
(/ (* t z) a)
10.0ms
(/ (* x y) a)

series98.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (/ (* x y) a) (/ (* t z) a))
17.0ms
(/ (* t z) a)
18.0ms
(/ (* x y) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04721466
119691032
250011024

prune247.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ t (/ a z)))
3.4b
(/ t (/ a z))
6.6b
(/ (* x y) a)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
678×times-frac
391×add-sqr-sqrt
384×*-un-lft-identity
382×add-cube-cbrt
308×prod-diff
79×div-inv
16×associate-/r*
13×add-exp-log add-cbrt-cube
8×associate-/r/
7×fma-neg
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log prod-exp frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 429
Calls
3 calls:
52.0ms
(- (/ (* x y) a) (/ t (/ a z)))
9.0ms
(/ t (/ a z))
10.0ms
(/ (* x y) a)

series101.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (/ (* x y) a) (/ t (/ a z)))
19.0ms
(/ t (/ a z))
19.0ms
(/ (* x y) a)

simplify112.0ms

Algorithm
egg-herbie
Counts
438 → 438
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0171211677
150028920

prune872.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
2.2b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
3.5b
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
4.0b
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
119×*-un-lft-identity
103×add-sqr-sqrt
95×add-cube-cbrt
78×associate-*r*
66×cbrt-prod
41×distribute-lft-neg-in distribute-rgt-out
34×add-exp-log
29×associate-*l*
25×add-cbrt-cube
23×distribute-lft-out
22×distribute-rgt-neg-in
12×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×pow1 unswap-sqr
7×div-inv
4×expm1-log1p-u frac-times neg-mul-1 distribute-lft1-in associate-*r/ log1p-expm1-u add-log-exp
2×flip3-+ pow-prod-down associate-*l/ frac-add *-commutative flip-+ distribute-neg-frac
1×distribute-rgt-in distribute-lft-in pow1/3 fma-udef
Counts
4 → 190
Calls
4 calls:
1.0ms
(cbrt a)
321.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
0.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
42.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt a)
8.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
309.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
46.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

simplify40.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
08681954
150011415

prune797.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes503.0ms

Accuracy

91.3% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 8.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04039
14239
24239

end0.0ms

sample965.0ms

Algorithm
intervals
Results
489.0ms11158×body80valid