Details

Time bar (total: 3.0s)

analyze285.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms21×body80invalid

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* 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

prune67.0ms

Filtered
33 candidates to 52 candidates (-57.6%)
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)))
2.8b
(* (* 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))

series21.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0257266
11177224
25002219

prune53.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh123
Picked011
Done011
Total47552

Merged error: 0.0b

Counts
52 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
0.3b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.6b
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt cbrt-div
13×pow1
11×associate-*r* associate-*l*
10×swap-sqr
9×flip3-- flip--
8×add-exp-log pow1/3 distribute-lft-out--
6×add-cbrt-cube difference-of-squares
5×unswap-sqr
4×frac-times associate-*r/ add-log-exp
3×pow-prod-down
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 110
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
5.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
7.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
11.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04561153
117071036
25002954

prune246.0ms

Filtered
85 candidates to 122 candidates (-43.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh022
Picked011
Done022
Total1225127

Merged error: 0.0b

Counts
127 → 5

localize9.0ms

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))))
1.7b
(sqrt (- 1.0 (* (- 1.0 y) z)))
1.7b
(sqrt (- 1.0 (* (- 1.0 y) z)))

rewrite23.0ms

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))))
2.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))

series65.0ms

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))))
17.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
14.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0364871
11514773
25001767

prune146.0ms

Filtered
68 candidates to 95 candidates (-39.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done033
Total955100

Merged error: 0.0b

Counts
100 → 5

regimes536.0ms

Accuracy

90.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch266.0ms

Steps
ItersRangePoint
8
5.393570683513316e-64
2.6718034263474067e-61
2.2527126402344132e-63
7
-5.554201848708785e+49
-8.305737177392076e+47
-8.478462772435603e+47

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289
1289

end0.0ms

analyze292.0ms

Algorithm
search

sample428.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
22.0ms683×body80invalid

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