Details

Time bar (total: 4.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms312×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize8.0ms

Local error

Found 1 expressions with local error:

3.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
10×associate-*r*
8×times-frac
4×distribute-lft-out-- difference-of-squares
3×pow1 add-exp-log add-cube-cbrt associate-*r/ associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
131.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify30.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0203237
1846215
25001213

prune88.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
3.4b
(* x (- (/ t (- 1.0 z))))
6.0b
(* x (/ y z))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
59×associate-*r*
50×add-sqr-sqrt
43×*-un-lft-identity
40×times-frac
31×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
10×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l* distribute-lft-out-- difference-of-squares
5×add-log-exp
4×associate-*r/ associate-/r/
3×prod-exp distribute-rgt-neg-out cbrt-unprod div-inv unswap-sqr
2×flip3-- pow-prod-down *-commutative flip-- distribute-neg-frac
1×cbrt-undiv +-commutative neg-mul-1 flip3-+ div-exp unsub-neg frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 110
Calls
3 calls:
11.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
55.0ms
(* x (- (/ t (- 1.0 z))))
13.0ms
(* x (/ y z))

series152.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
61.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify75.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0578656
12781605
25002604

prune297.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
3.4b
(* x (- (/ t (- 1.0 z))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*r*
45×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
24×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
16×add-cbrt-cube
10×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod associate-*l* distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×div-inv unswap-sqr
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
38.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
55.0ms
(* x (- (/ t (- 1.0 z))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
184.0ms
(cbrt y)
86.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
64.0ms
(* x (- (/ t (- 1.0 z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0635798
13022680
25002651

prune425.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.4b
(* x (- (/ t (- 1.0 z))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r*
41×add-sqr-sqrt
39×*-un-lft-identity
30×times-frac
27×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
9×cbrt-prod
6×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
4×associate-/r/ add-log-exp
3×pow1/3 associate-*l*
2×flip3-- flip-- div-inv
1×neg-mul-1 associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod distribute-neg-frac unswap-sqr
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
54.0ms
(* x (- (/ t (- 1.0 z))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
185.0ms
(cbrt y)
186.0ms
(cbrt y)
58.0ms
(* x (- (/ t (- 1.0 z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0385481
11746447
25002439

prune350.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02517
12917
23017
33017

end0.0ms

sample620.0ms

Algorithm
intervals
Results
286.0ms10051×body80valid