Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
12.0ms313×body80valid

simplify13.0ms

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: 1.6b

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))
3.3b
(* (/ x y) z)

rewrite52.0ms

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:
8.0ms
(/ (+ x 4.0) y)
33.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series96.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (+ x 4.0) y)
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0399743
11422683
25001668

prune283.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
9.7b
(cbrt (/ x y))
9.7b
(cbrt (/ x y))
9.7b
(cbrt (/ x y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
34.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series204.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
63.0ms
(cbrt (/ x y))
57.0ms
(cbrt (/ x y))
64.0ms
(cbrt (/ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0270794
1819672
23040622
35001583

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.5b
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
9.7b
(cbrt (/ x y))
9.7b
(cbrt (/ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×times-frac
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt y)
6.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series377.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
83.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
57.0ms
(cbrt (/ x y))
62.0ms
(cbrt (/ x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0199551
1437512
21316499
35001481

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-exp-log fma-neg prod-diff add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- diff-log flip-- log1p-expm1-u associate-/l/ distribute-lft-out
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 56
Calls
2 calls:
21.0ms
(- (+ x 4.0) (* x z))
39.0ms
(/ (- (+ x 4.0) (* x z)) y)

series65.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (+ x 4.0) (* x z))
46.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify93.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0231402
1809365
23892363
35001356

prune135.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

93.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch57.0ms

Steps
ItersRangePoint
8
7.647138203835175e-41
3.774857016703866e-36
1.1704247077394178e-39
4
-1419131402.1388264
-943586106.7640047
-1097352739.1893299

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample550.0ms

Algorithm
intervals
Results
322.0ms10141×body80valid