Details

Time bar (total: 3.6s)

sample22.0ms

Algorithm
intervals
Results
12.0ms330×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:
5.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series93.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune175.0ms

Filtered
88 candidates to 63 candidates (71.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.1b
(* (+ x 4.0) (/ 1 y))
3.2b
(* (/ x y) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
22×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
17×add-exp-log associate-*l*
16×associate-*r*
13×associate-*l/ add-cbrt-cube
7×pow1
6×prod-exp frac-sub
5×add-log-exp unswap-sqr
4×frac-times flip3-+ cbrt-unprod flip-+
3×associate-*r/ div-exp un-div-inv
2×cbrt-undiv pow-prod-down *-commutative div-inv sub-div
1×sub-neg rec-exp flip3-- diff-log 1-exp flip-- distribute-lft-out
Counts
3 → 93
Calls
3 calls:
11.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
9.0ms
(* (+ x 4.0) (/ 1 y))
6.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
26.0ms
(* (+ x 4.0) (/ 1 y))
20.0ms
(* (/ x y) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0506559
12162502
25003481

prune180.0ms

Filtered
102 candidates to 70 candidates (68.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done000
Total1026108

Merged error: 0.0b

Counts
108 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (cbrt x) y) z)
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-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 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(* (/ (cbrt x) y) z)
12.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series643.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt x)
184.0ms
(cbrt x)
111.0ms
(* (/ (cbrt x) y) z)
48.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify63.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0473757
12306591
25001518

prune287.0ms

Filtered
121 candidates to 79 candidates (65.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh044
Picked011
Done011
Total1207127

Merged error: 0b

Counts
127 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
1.1b
(* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) y) z))
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) y) z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
279×add-exp-log
160×prod-exp
99×add-cbrt-cube
94×div-exp
68×cbrt-unprod
38×1-exp
34×cbrt-undiv
23×associate-*l*
18×pow1
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod times-frac
10×associate-*l/
9×pow-prod-down
6×frac-times associate-*r/
4×add-log-exp
2×pow1/3 associate-*r* *-commutative div-inv
Counts
4 → 167
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
14.0ms
(* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) y) z))
18.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) y) z)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
239.0ms
(cbrt (cbrt x))
119.0ms
(* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) y) z))
44.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) y) z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08692480
139211834
250021660

prune281.0ms

Filtered
179 candidates to 77 candidates (43.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1790179
Fresh044
Picked011
Done022
Total1797186

Merged error: 0b

Counts
186 → 7

regimes100.0ms

Accuracy

93.5% (0.1b remaining)

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

bsearch71.0ms

Steps
ItersRangePoint
10
339896681489548.25
6.963813131926747e+24
14470365275194734.0
5
-1.8658178676503089e+34
-5.0215423460062935e+33
-5.304097131757852e+33

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample567.0ms

Algorithm
intervals
Results
358.0ms10108×body80valid