Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
10.0ms332×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
10.0ms
(/ (+ x 4.0) y)
31.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (+ x 4.0) y)
43.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0399743
11422683
25001668

prune293.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
2.8b
(* (/ x y) (- 1 z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
4×pow1
2×expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv distribute-lft-out--
Counts
2 → 73
Calls
2 calls:
0.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
19.0ms
(* (/ x y) (- 1 z))

series92.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
40.0ms
(* (/ x y) (- 1 z))

simplify42.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0402603
11761405
25002402

prune153.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
44×distribute-rgt-in distribute-lft-in
39×add-cbrt-cube
37×prod-exp cbrt-unprod
36×prod-diff
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
5×associate-*l*
4×expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 142
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
54.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
172.0ms
(cbrt x)
181.0ms
(cbrt x)
42.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- 1 z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09272681
150021360

prune380.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
3.0b
(* (/ x y) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
0.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
7.0ms
(* (/ x y) z)

series71.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
24.0ms
(* (/ x y) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0191242
1672210
22619206
35001199

prune123.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02116
12116

end0.0ms

sample491.0ms

Algorithm
intervals
Results
292.0ms10102×body80valid