Details

Time bar (total: 2.7s)

sample27.0ms

Algorithm
intervals
Results
12.0ms317×body80valid

simplify223.0ms

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: 2.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
3.0ms
(- 1.0 (* (- 1.0 y) z))
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series20.0ms

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

simplify100.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0233336
1920299
24132288
35001288

prune98.0ms

Filtered
43 candidates to 67 candidates (-55.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New59867
Fresh000
Picked101
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0257266
11177224
25002219

prune66.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New47047
Fresh077
Picked011
Done000
Total47855

Merged error: 0.0b

Counts
55 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z))))
2.6b
(cbrt (- 1.0 (* (- 1.0 y) z)))
2.6b
(cbrt (- 1.0 (* (- 1.0 y) z)))
2.6b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z))))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z))))
18.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
20.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
19.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03331255
110921190
250011118

prune260.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh066
Picked011
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* (- 1.0 y) z))))
2.4b
(* x (- 1.0 (* (- 1.0 y) z)))
2.4b
(* x (- 1.0 (* (- 1.0 y) z)))
2.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
3.0ms
(cbrt (* x (- 1.0 (* (- 1.0 y) z))))
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (* x (- 1.0 (* (- 1.0 y) z))))
13.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0302706
11062629
25002606

prune174.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh055
Picked101
Done022
Total958103

Merged error: 0.0b

Counts
103 → 8

regimes645.0ms

Accuracy

84.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch21.0ms

Steps
ItersRangePoint
3
1.1193458109196806e-41
1.389363479842433e-41
1.2960461173493196e-41
7
-5.8089112783746025e-37
-1.445955852155634e-38
-1.400414821633252e-37

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03220
13220

end0.0ms

sample631.0ms

Algorithm
intervals
Results
275.0ms10012×body80valid

Profiling

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