Details

Time bar (total: 3.5s)

sample24.0ms

Algorithm
intervals
Results
7.0ms275×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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: 12.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.0b
(/ (* x (- y z)) (- t z))

rewrite19.0ms

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:
9.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
59.0ms
(/ (* x (- y z)) (- t z))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune209.0ms

Filtered
61 candidates to 40 candidates (65.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New511061
Fresh000
Picked101
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))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite29.0ms

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:
7.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (/ (- t z) (- y z)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
141.0ms
(/ x (/ (- t z) (- y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06331784
128631733
250011730

prune630.0ms

Filtered
200 candidates to 133 candidates (66.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1982200
Fresh459
Picked101
Done000
Total2037210

Merged error: 0b

Counts
210 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* (- t z) (/ 1 (- y z)))
2.3b
(/ x (* (- t z) (/ 1 (- y z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 122
Calls
3 calls:
5.0ms
(/ 1 (- y z))
13.0ms
(* (- t z) (/ 1 (- y z)))
11.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series226.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (- y z))
49.0ms
(* (- t z) (/ 1 (- y z)))
145.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0406706
11892593
25003545

prune337.0ms

Filtered
131 candidates to 75 candidates (57.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh066
Picked011
Done000
Total1317138

Merged error: 0b

Counts
138 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite24.0ms

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)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- y z) (- t z))
63.0ms
(* x (/ (- y z) (- t z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25002606

prune299.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh055
Picked011
Done011
Total1087115

Merged error: 0b

Counts
115 → 7

regimes402.0ms

Accuracy

41.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523
13923
24023
34023

end0.0ms

sample618.0ms

Algorithm
intervals
Results
242.0ms8705×body80valid

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