Details

Time bar (total: 2.5s)

sample23.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify219.0ms

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

prune3.0ms

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)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
10.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify94.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune73.0ms

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)))
4.1b
(* (* 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))

series18.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0257266
11177224
25002219

prune59.0ms

Filtered
47 candidates to 30 candidates (36.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh145
Picked011
Done011
Total47754

Merged error: 0b

Counts
54 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* x z) (- y 1.0))
7.1b
(cbrt (* (* x z) (- y 1.0)))
7.1b
(cbrt (* (* x z) (- y 1.0)))
7.1b
(cbrt (* (* x z) (- y 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-div
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
7.0ms
(* (* x z) (- y 1.0))
5.0ms
(cbrt (* (* x z) (- y 1.0)))
5.0ms
(cbrt (* (* x z) (- y 1.0)))
6.0ms
(cbrt (* (* x z) (- y 1.0)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* x z) (- y 1.0))
29.0ms
(cbrt (* (* x z) (- y 1.0)))
31.0ms
(cbrt (* (* x z) (- y 1.0)))
30.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0351771
11391719
25002686

prune176.0ms

Filtered
71 candidates to 55 candidates (22.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh044
Picked011
Done022
Total71778

Merged error: 0b

Counts
78 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
0.1b
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
0.7b
(sqrt (- 1.0 (* (- 1.0 y) z)))
0.7b
(sqrt (- 1.0 (* (- 1.0 y) z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
10.0ms
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
4.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
11.0ms
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
14.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
15.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0364871
11514773
25001767

prune144.0ms

Filtered
95 candidates to 68 candidates (28.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done033
Total957102

Merged error: 0b

Counts
102 → 7

regimes612.0ms

Accuracy

95.9% (0.1b remaining)

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

bsearch34.0ms

Steps
ItersRangePoint
9
6.65924676558884e+15
7.281107813444904e+22
17717963419766438.0
8
-3.089346115308998e-11
-1.128725263948311e-13
-5.787892526668367e-13

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289
1289

end0.0ms

sample634.0ms

Algorithm
intervals
Results
285.0ms10153×body80valid

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