Details

Time bar (total: 2.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms318×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

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))
1.9b
(* (/ x y) z)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
29.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune212.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
1.8b
(* (/ x y) (- 1 z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×associate-*r/
10×add-cube-cbrt times-frac frac-add
7×add-exp-log add-cbrt-cube
6×frac-times flip3-- associate-*r* flip--
5×un-div-inv
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
3×associate-*l/
2×prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
7.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
15.0ms
(* (/ x y) (- 1 z))

series88.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
45.0ms
(* (/ x y) (- 1 z))

simplify50.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0416496
11863440
25001435

prune179.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.5b
(* x (/ z y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
26.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0ms
(* x (/ z y))

series95.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
44.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
25.0ms
(* x (/ z y))

simplify39.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349430
11432403
25001403

prune189.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
3.8b
(/ (- (+ x 4.0) (* x z)) y)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
17.0ms
(- (+ x 4.0) (* x z))
35.0ms
(/ (- (+ x 4.0) (* x z)) y)

series69.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (+ x 4.0) (* x z))
45.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify81.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206339
1735314
23242314
35001314

prune105.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

94.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch63.0ms

Steps
ItersRangePoint
6
2.230391204833286e-10
1.0238400441369445e-09
2.648793013235644e-10
7
-1.1168933957703842e+17
-1012818448386099.9
-7.192134480468753e+16

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03618
13618

end0.0ms

sample528.0ms

Algorithm
intervals
Results
311.0ms10055×body80valid