Details

Time bar (total: 2.5s)

sample24.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify221.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1033754
1137624
1243764
1350024

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune145.0ms

Filtered
52 candidates to 33 candidates (36.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh000
Picked011
Done000
Total46753

Merged error: 0.0b

Counts
53 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.2b
(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series20.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0257266
11177224
25002219

prune112.0ms

Filtered
47 candidates to 30 candidates (36.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh055
Picked011
Done101
Total47754

Merged error: 0.0b

Counts
54 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y 1.0))
0.0b
(+ (* x 1.0) (* x (* z (- y 1.0))))
3.0b
(* x (* z (- y 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log add-sqr-sqrt sub-neg add-cbrt-cube
8×associate-+r+ *-un-lft-identity
6×add-cube-cbrt associate-*r/ associate-*r* associate-*l*
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 74
Calls
3 calls:
6.0ms
(* z (- y 1.0))
4.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
7.0ms
(* x (* z (- y 1.0)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* z (- y 1.0))
11.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
8.0ms
(* x (* z (- y 1.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0299388
11201336
25001334

prune204.0ms

Filtered
83 candidates to 47 candidates (43.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh055
Picked011
Done011
Total83790

Merged error: 0.0b

Counts
90 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
1.8b
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
6.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

series90.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
24.0ms
(cbrt x)
15.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
30.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0377822
11440633
25001524

prune223.0ms

Filtered
94 candidates to 58 candidates (38.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done022
Total947101

Merged error: 0.0b

Counts
101 → 7

regimes480.0ms

Accuracy

95.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03114
13114

end0.0ms

sample603.0ms

Algorithm
intervals
Results
262.0ms10236×body80valid

Profiling

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