Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.0b
(/ (* x (- y z)) (- t z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
61.0ms
(/ (* x (- y z)) (- t z))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11209239
25001239

prune109.0ms

Filtered
61 candidates to 40 candidates (65.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New52961
Fresh000
Picked011
Done000
Total521062

Merged error: 0.0b

Counts
62 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.7b
(/ x (/ (- t z) (- y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- t z) (- y z))
12.0ms
(/ x (/ (- t z) (- y z)))

series190.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- t z) (- y z))
145.0ms
(/ x (/ (- t z) (- y z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06331784
128631733
250011730

prune341.0ms

Filtered
200 candidates to 133 candidates (66.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1964200
Fresh628
Picked011
Done011
Total2028210

Merged error: 0b

Counts
210 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.9b
(* x (/ (- y z) (- t z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
13.0ms
(* x (/ (- y z) (- t z)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- y z) (- t z))
61.0ms
(* x (/ (- y z) (- t z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune162.0ms

Filtered
108 candidates to 70 candidates (64.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh055
Picked011
Done022
Total1088116

Merged error: 0b

Counts
116 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (cbrt x) (/ (- t z) (- y z)))
1.6b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
703×times-frac
547×add-sqr-sqrt
536×*-un-lft-identity
276×add-cube-cbrt
197×cbrt-prod
191×associate-*r*
130×distribute-lft-out-- difference-of-squares
31×associate-/r*
30×add-exp-log
28×associate-/r/
18×add-cbrt-cube
15×div-inv
13×flip3-- flip--
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
6×associate-/l*
5×unswap-sqr
4×add-log-exp
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 480
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
49.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

series911.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt x)
167.0ms
(cbrt x)
421.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
159.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

simplify90.0ms

Algorithm
egg-herbie
Counts
492 → 492
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015745657
150015188

prune1.1s

Filtered
492 candidates to 343 candidates (69.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4920492
Fresh044
Picked011
Done033
Total4928500

Merged error: 0b

Counts
500 → 8

regimes175.0ms

Accuracy

-5.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch61.0ms

Steps
ItersRangePoint
8
0.002530849181923155
4.265898263168925
0.0025719360646465723
8
-1.383421886323039e-209
-2.698833154443091e-214
-1.3913491401814802e-213

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample442.0ms

Algorithm
intervals
Results
226.0ms8724×body80valid