Details

Time bar (total: 3.0s)

sample32.0ms

Algorithm
intervals
Results
21.0ms308×body80valid

simplify11.0ms

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: 1.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.2b
(* (/ x y) z)

rewrite35.0ms

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 add-log-exp
3×associate-*r* associate-*l/
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- div-inv sub-div
Counts
2 → 46
Calls
2 calls:
26.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms
(* (/ x y) z)

simplify84.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0243262
1882237
23831236
35003236

prune130.0ms

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
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
3.1b
(* (/ 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))

series90.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
46.0ms
(* (/ x y) (- 1 z))

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0416496
11863440
25001435

prune171.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(* (/ x (cbrt y)) z)
3.3b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
11.0ms
(* (/ x (cbrt y)) z)
36.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series537.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
188.0ms
(cbrt y)
115.0ms
(* (/ x (cbrt y)) z)
51.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0478843
12160646
25001558

prune329.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.9b
(* x (/ z y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r/ associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- div-inv sub-div
Counts
2 → 46
Calls
2 calls:
26.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0ms
(* x (/ z y))

series68.0ms

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

simplify112.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0258267
11081245
24985245
35001245

prune110.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

1.5% (1.5b remaining)

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

bsearch45.0ms

Steps
ItersRangePoint
8
6.553833862084782e-125
3.074819892853218e-122
5.51789875539709e-123

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

sample789.0ms

Algorithm
intervals
Results
583.0ms10081×body80valid