Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms304×body80valid

simplify65.0ms

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: 12.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* 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)

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
50.0ms
(/ (* x (- y z)) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune79.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50555
Fresh000
Picked011
Done000
Total50656

Merged error: 0.0b

Counts
56 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

2.0b
(/ x (/ y (- y z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
83×add-sqr-sqrt *-un-lft-identity
59×add-cube-cbrt
21×associate-/r*
12×distribute-lft-out-- difference-of-squares
9×associate-/r/
6×add-exp-log add-cbrt-cube
5×div-inv
4×flip3-- flip--
3×cbrt-undiv div-exp associate-/l*
1×pow1 frac-2neg clear-num add-log-exp
Counts
1 → 102
Calls
1 calls:
8.0ms
(/ x (/ y (- y z)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ x (/ y (- y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0454856
12076829
25002826

prune191.0ms

Filtered
105 candidates to 80 candidates (76.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1023105
Fresh224
Picked011
Done101
Total1056111

Merged error: 0b

Counts
111 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.2b
(/ 1 (/ y (* x (- y z))))
11.6b
(/ y (* x (- y z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
1×pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 113
Calls
3 calls:
6.0ms
(* x (- y z))
9.0ms
(/ 1 (/ y (* x (- y z))))
6.0ms
(/ y (* x (- y z)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* x (- y z))
45.0ms
(/ 1 (/ y (* x (- y z))))
54.0ms
(/ y (* x (- y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0382684
11928595
25002544

prune127.0ms

Filtered
122 candidates to 64 candidates (52.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done011
Total1226128

Merged error: 0b

Counts
128 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.6b
(* (* x (- y z)) (/ 1 y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative add-log-exp
1×un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
6.0ms
(* x (- y z))
10.0ms
(* (* x (- y z)) (/ 1 y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- y z))
51.0ms
(* (* x (- y z)) (/ 1 y))

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0351354
11922294
25002282

prune82.0ms

Filtered
74 candidates to 43 candidates (58.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done022
Total74680

Merged error: 0b

Counts
80 → 6

regimes75.0ms

Accuracy

5.9% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.9b

bsearch58.0ms

Steps
ItersRangePoint
7
2.694557876108422e-82
5.524894959350777e-81
3.886428517715222e-82
10
8.989750644064218e-250
3.1657054948329915e-232
2.485786173175107e-237

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0237
1237

end0.0ms

sample435.0ms

Algorithm
intervals
Results
237.0ms9565×body80valid

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