Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms293×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1193
2433
3553
4593
5673
6873
71233
81983
93813
104543
116293
128073
1311673
1415043
1521863
1650023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (+ x 1.0) y) x)
0.0b
(* (+ x 1.0) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
9.0ms
(- (* (+ x 1.0) y) x)
5.0ms
(* (+ x 1.0) y)

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
4.0ms
(* (+ x 1.0) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0149159
1616147
23110145
35001145

prune46.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
23.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune72.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh011
Picked011
Done011
Total84488

Merged error: 0b

Counts
88 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
3.6b
(* (- (* x x) (* 1.0 1.0)) y)
8.5b
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×associate-*r* distribute-lft-out--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 64
Calls
3 calls:
12.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
6.0ms
(* (- (* x x) (* 1.0 1.0)) y)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series22.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
6.0ms
(* (- (* x x) (* 1.0 1.0)) y)
7.0ms
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0344562
11658502
25002493

prune86.0ms

Filtered
54 candidates to 73 candidates (-35.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done022
Total73477

Merged error: 0b

Counts
77 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (+ x 1.0) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))))) (cbrt y))
0.2b
(* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))
0.6b
(cbrt y)
2.5b
(exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity prod-exp
12×log-prod associate--l+ add-cbrt-cube
11×pow1
10×distribute-rgt-in distribute-lft-in exp-sum
9×associate-*r*
7×cbrt-unprod
6×cbrt-prod add-log-exp
4×sub-neg associate-*l* pow-prod-down associate-*l/
2×associate-*r/ *-commutative
1×pow-to-exp exp-prod flip3-- exp-to-pow flip3-+ pow1/3 pow-exp flip-- flip-+ rem-exp-log unswap-sqr
Counts
4 → 88
Calls
4 calls:
14.0ms
(* (* (+ x 1.0) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))))) (cbrt y))
6.0ms
(* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))
1.0ms
(cbrt y)
4.0ms
(exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* (+ x 1.0) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))))) (cbrt y))
44.0ms
(* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))
35.0ms
(cbrt y)
42.0ms
(exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
05401141
12332918
25001736

prune209.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done033
Total1004104

Merged error: 0b

Counts
104 → 4

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample525.0ms

Algorithm
intervals
Results
245.0ms9130×body80valid
0.0ms1×body640valid

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