Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms338×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune8.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
6.0ms
(* (- (* x y) (* z y)) t)

series79.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (* x y) (* z y))
43.0ms
(* (- (* x y) (* z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune94.0ms

Filtered
46 candidates to 37 candidates (80.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New40646
Fresh101
Picked011
Done000
Total41748

Merged error: 0.0b

Counts
48 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
5.2b
(* y (* (- x z) t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- x z) t)
10.0ms
(* y (* (- x z) t))

series65.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x z) t)
38.0ms
(* y (* (- x z) t))

simplify103.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0190207
1802174
24832174
35001174

prune89.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh145
Picked011
Done011
Total51859

Merged error: 0.0b

Counts
59 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
2.2b
(* (cbrt y) (* (- x z) t))
3.3b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×associate-*r/
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(* (cbrt y) (* (- x z) t))
14.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
185.0ms
(cbrt y)
196.0ms
(* (cbrt y) (* (- x z) t))
74.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0320595
11349446
25002405

prune175.0ms

Filtered
95 candidates to 65 candidates (68.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done022
Total958103

Merged error: 0.0b

Counts
103 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
8.1b
(cbrt (- (* x y) (* z y)))
8.1b
(cbrt (- (* x y) (* z y)))
8.1b
(cbrt (- (* x y) (* z y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*l/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
12×cbrt-prod
10×add-cbrt-cube
8×associate-*r/ pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-out-- pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 98
Calls
4 calls:
17.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
3.0ms
(cbrt (- (* x y) (* z y)))
3.0ms
(cbrt (- (* x y) (* z y)))
3.0ms
(cbrt (- (* x y) (* z y)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
175.0ms
(cbrt (- (* x y) (* z y)))
153.0ms
(cbrt (- (* x y) (* z y)))
118.0ms
(cbrt (- (* x y) (* z y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04951846
114431619
250021521

prune290.0ms

Filtered
110 candidates to 81 candidates (73.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh044
Picked011
Done033
Total1108118

Merged error: 0.0b

Counts
118 → 8

regimes272.0ms

Accuracy

95% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.1b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03129
13429
24019
34319
44919
56019
66719
76819
86819

end0.0ms

sample547.0ms

Algorithm
intervals
Results
268.0ms10647×body80valid

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