Details

Time bar (total: 4.3s)

sample24.0ms

Algorithm
intervals
Results
10.0ms359×body80valid

simplify14.0ms

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: 7.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.8b
(/ (- (* 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))
7.0ms
(/ (- (* x y) (* z t)) a)

series94.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
49.0ms
(/ (- (* x y) (* z t)) a)

simplify92.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune172.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
4.2b
(/ (* t z) a)
5.0b
(/ (* x y) a)

rewrite24.0ms

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)

series109.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (/ (* x y) a) (/ (* t z) a))
24.0ms
(/ (* t z) a)
20.0ms
(/ (* x y) a)

simplify71.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04721466
119691032
250011024

prune259.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
1.0b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
3.5b
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
5.0b
(/ (* x y) a)

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
139×times-frac
121×*-un-lft-identity
105×add-sqr-sqrt
97×add-cube-cbrt
78×associate-*r*
66×cbrt-prod
41×distribute-lft-neg-in distribute-rgt-out
39×add-exp-log
30×add-cbrt-cube
29×associate-*l*
23×distribute-lft-out
22×distribute-rgt-neg-in
13×prod-exp cbrt-unprod
11×cbrt-undiv div-exp
8×pow1 div-inv unswap-sqr
4×expm1-log1p-u frac-times neg-mul-1 distribute-lft1-in associate-*r/ log1p-expm1-u add-log-exp
3×associate-/r*
2×flip3-+ pow-prod-down associate-*l/ frac-add *-commutative flip-+ distribute-neg-frac
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/3 clear-num associate-/l*
Counts
4 → 203
Calls
4 calls:
1.0ms
(cbrt a)
278.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
26.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
3.0ms
(/ (* x y) a)

series265.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt a)
2.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
49.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
20.0ms
(/ (* x y) a)

simplify45.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
09371836
150011408

prune834.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.4b
(/ 1 (/ a (- (* x y) (* z t))))
6.8b
(/ a (- (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff inv-pow
Counts
3 → 133
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
9.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (* x y) (* z t))
84.0ms
(/ 1 (/ a (- (* x y) (* z t))))
38.0ms
(/ a (- (* x y) (* z t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04431267
118961141
250011049

prune276.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes502.0ms

Accuracy

36.9% (4.6b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04842
15542
25542

end0.0ms

sample884.0ms

Algorithm
intervals
Results
541.0ms11322×body80valid