Details

Time bar (total: 4.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms334×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: 0.7b

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))
2.7b
(* (/ x y) z)

rewrite97.0ms

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:
18.0ms
(/ (+ x 4.0) y)
61.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms
(* (/ x y) z)

series100.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ x 4.0) y)
45.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
23.0ms
(* (/ x y) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0399743
11422683
25001668

prune284.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b
(/ 1 (/ y (+ x 4.0)))
2.7b
(* (/ x y) z)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
304×times-frac
226×*-un-lft-identity
163×add-sqr-sqrt
158×add-cube-cbrt
59×fma-neg prod-diff
34×distribute-lft-out
25×associate-/r/
22×add-exp-log associate-/r*
16×add-cbrt-cube
15×div-inv
13×associate-*l*
11×flip3-+ flip-+
9×div-exp
7×pow1
6×associate-/l* add-log-exp
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r*
2×rec-exp frac-2neg 1-exp associate-*l/ prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- pow-flip diff-log pow-prod-down *-commutative frac-sub flip-- inv-pow
Counts
4 → 300
Calls
4 calls:
10.0ms
(/ y (+ x 4.0))
99.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
16.0ms
(/ 1 (/ y (+ x 4.0)))
17.0ms
(* (/ x y) z)

series131.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ y (+ x 4.0))
45.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
30.0ms
(/ 1 (/ y (+ x 4.0)))
22.0ms
(* (/ x y) z)

simplify97.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08102516
138912024
250011962

prune586.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize155.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
9.5b
(cbrt (/ x y))
9.5b
(cbrt (/ x y))
9.5b
(cbrt (/ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
25.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series279.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
61.0ms
(cbrt (/ x y))
64.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))

simplify76.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune525.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt x)
9.5b
(cbrt (/ x y))
9.5b
(cbrt (/ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div div-inv
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series484.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
174.0ms
(cbrt x)
60.0ms
(cbrt (/ x y))
66.0ms
(cbrt (/ x y))

simplify42.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0171380
1404360
21435352
35001334

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample557.0ms

Algorithm
intervals
Results
278.0ms10044×body80valid