Details

Time bar (total: 2.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms330×body80valid

simplify227.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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: 2.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.4b
(* 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)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 y) z)
48.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune76.0ms

Filtered
52 candidates to 33 candidates (63.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh000
Picked011
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.0b
(* (* x z) (- y 1.0))

rewrite15.0ms

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)))
10.0ms
(* (* x z) (- y 1.0))

series111.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
46.0ms
(* (* x z) (- y 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0257266
11177224
25002219

prune66.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New47047
Fresh033
Picked011
Done011
Total47552

Merged error: 0.0b

Counts
52 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.1b
(* (sqrt (- 1.0 y)) z)
0.1b
(* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))
1.5b
(* x (- 1.0 (* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*l*
18×*-un-lft-identity
16×sqrt-div sqrt-prod
14×pow1
13×add-exp-log add-cbrt-cube
12×add-cube-cbrt
10×associate-*l/
9×flip3-- flip--
7×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod
4×frac-times associate-*r/ add-log-exp
3×*-commutative distribute-lft-out-- difference-of-squares unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 98
Calls
4 calls:
3.0ms
(sqrt (- 1.0 y))
7.0ms
(* (sqrt (- 1.0 y)) z)
12.0ms
(* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))
6.0ms
(* x (- 1.0 (* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))))

series206.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (- 1.0 y))
91.0ms
(* (sqrt (- 1.0 y)) z)
30.0ms
(* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))
49.0ms
(* x (- 1.0 (* (sqrt (- 1.0 y)) (* (sqrt (- 1.0 y)) z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0435785
11645653
25001633

prune188.0ms

Filtered
110 candidates to 74 candidates (67.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done022
Total1105115

Merged error: 0.0b

Counts
115 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* (- 1.0 y) z))
0.1b
(* (* (- 1.0 y) z) (* (- 1.0 y) z))
4.8b
(* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z))))
13.1b
(/ (* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z)))) (+ 1.0 (* (- 1.0 y) z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
14×associate-*l/
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
6×associate-*r/ add-log-exp
5×associate-*r*
4×frac-times associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ pow-plus div-exp associate-/r/ *-commutative flip-+ associate-/l/
1×+-commutative pow2 frac-2neg swap-sqr clear-num sum-log div-inv associate-/l* difference-of-squares unswap-sqr
Counts
4 → 103
Calls
4 calls:
3.0ms
(+ 1.0 (* (- 1.0 y) z))
12.0ms
(* (* (- 1.0 y) z) (* (- 1.0 y) z))
6.0ms
(* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z))))
9.0ms
(/ (* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z)))) (+ 1.0 (* (- 1.0 y) z)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ 1.0 (* (- 1.0 y) z))
35.0ms
(* (* (- 1.0 y) z) (* (- 1.0 y) z))
118.0ms
(* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z))))
159.0ms
(/ (* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z)))) (+ 1.0 (* (- 1.0 y) z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05571074
12748892
25001892

prune153.0ms

Filtered
115 candidates to 67 candidates (58.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done033
Total1155120

Merged error: 0.0b

Counts
120 → 5

regimes192.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample476.0ms

Algorithm
intervals
Results
271.0ms10197×body80valid

Profiling

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