Details

Time bar (total: 2.4s)

sample34.0ms

Algorithm
intervals
Results
17.0ms360×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.5b
(* t (* y (- x z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(* y (- x z))
8.0ms
(* t (* y (- x z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- x z))
44.0ms
(* t (* y (- x z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune88.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New53760
Fresh101
Picked101
Done000
Total55762

Merged error: 0.0b

Counts
62 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b
(* (* t y) (- x z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* t y) (- x z))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* t y) (- x z))

simplify96.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune43.0ms

Filtered
29 candidates to 16 candidates (55.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh156
Picked011
Done000
Total28836

Merged error: 0.0b

Counts
36 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* t (* x y)) (* t (* (- z) y)))
4.3b
(* t (* (- z) y))
6.0b
(* t (* x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×distribute-lft-neg-out distribute-rgt-neg-out
2×associate-*r* *-commutative
1×+-commutative flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 51
Calls
3 calls:
5.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
9.0ms
(* t (* (- z) y))
9.0ms
(* t (* x y))

series112.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
26.0ms
(* t (* (- z) y))
25.0ms
(* t (* x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0254278
11059233
25001225

prune106.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New58260
Fresh336
Picked011
Done011
Total61768

Merged error: 0.0b

Counts
68 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
1.9b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
4.0b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
20.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
14.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (- x z))
147.0ms
(cbrt (- x z))
47.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
86.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify70.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05511479
121031275
250011217

prune247.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh044
Picked011
Done112
Total1298137

Merged error: 0.0b

Counts
137 → 8

regimes173.0ms

Accuracy

27.1% (4.5b remaining)

Error of 4.5b against oracle of 0.0b and baseline of 6.1b

bsearch53.0ms

Steps
ItersRangePoint
7
3.8617711126456436e-252
1.2331844131244815e-250
1.2195548373364828e-250
6
-2.1162002758912946e-63
-3.598845887617594e-64
-1.8977022651582564e-63

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample582.0ms

Algorithm
intervals
Results
329.0ms10653×body80valid

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