Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms309×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

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: 13.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.7b
(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- y z))
46.0ms
(/ (* x (- y z)) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0219218
11044189
25001189

prune84.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New47855
Fresh000
Picked101
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
8.0ms
(/ x (/ y (- y z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- y z))
47.0ms
(/ x (/ y (- y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04721043
122201007
250011004

prune243.0ms

Filtered
145 candidates to 108 candidates (74.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh347
Picked011
Done000
Total1467153

Merged error: 0b

Counts
153 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
6.0ms
(/ (- y z) y)
9.0ms
(* x (/ (- y z) y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- y z) y)
51.0ms
(* x (/ (- y z) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0264396
11187365
25001364

prune121.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh145
Picked011
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y z) (/ 1 y))
2.9b
(* x (* (- y z) (/ 1 y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 70
Calls
2 calls:
10.0ms
(* (- y z) (/ 1 y))
9.0ms
(* x (* (- y z) (/ 1 y)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (/ 1 y))
49.0ms
(* x (* (- y z) (/ 1 y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0326376
11461309
25001297

prune94.0ms

Filtered
76 candidates to 47 candidates (61.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done022
Total76783

Merged error: 0b

Counts
83 → 7

regimes89.0ms

Accuracy

16.8% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 3.0b

bsearch68.0ms

Steps
ItersRangePoint
9
5.503067431303535e-41
2.4619343422422375e-32
8.42446531567834e-37
8
2.326436361118286e-214
1.0368744100527968e-210
2.546000932373863e-214

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196
1196

end0.0ms

sample428.0ms

Algorithm
intervals
Results
239.0ms9620×body80valid

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