Details

Time bar (total: 2.5s)

analyze351.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms37×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
3.4b
(* (/ x y) z)

rewrite21.0ms

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

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0ms
(/ (+ x 4.0) y)
5.0ms
(* (/ x y) z)

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune123.0ms

Filtered
63 candidates to 88 candidates (-39.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0b

Counts
89 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
22.0ms
(cbrt x)
6.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04261003
12151674
25001487

prune90.0ms

Filtered
50 candidates to 94 candidates (-88.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done000
Total946100

Merged error: 0b

Counts
100 → 6

localize10.0ms

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))
3.4b
(* (/ x y) z)

rewrite25.0ms

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:
7.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
9.0ms
(* (+ x 4.0) (/ 1 y))
6.0ms
(* (/ x y) z)

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
4.0ms
(* (+ x 4.0) (/ 1 y))
5.0ms
(* (/ x y) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0506559
12162502
25003481

prune115.0ms

Filtered
71 candidates to 102 candidates (-43.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh044
Picked011
Done011
Total1026108

Merged error: 0b

Counts
108 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
12.0b
(cbrt (/ x y))
12.0b
(cbrt (/ x y))
12.0b
(cbrt (/ x y))

rewrite23.0ms

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×add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
13.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
12.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0278774
1864652
23262601
35001545

prune101.0ms

Filtered
73 candidates to 107 candidates (-46.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done022
Total1076113

Merged error: 0b

Counts
113 → 6

regimes164.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

analyze343.0ms

Algorithm
search

sample546.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid
50.0ms1230×body80invalid

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