Details

Time bar (total: 2.6s)

sample31.0ms

Algorithm
intervals
Results
13.0ms277×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01219
11219

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
3.2b
(* x (/ (- y z) (- t z)))

rewrite29.0ms

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:
9.0ms
(/ (- y z) (- t z))
15.0ms
(* x (/ (- y z) (- t z)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (- y z) (- t z))
18.0ms
(* x (/ (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
055781163

prune120.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1008108
Fresh101
Picked011
Done000
Total1019110

Merged error: 0b

Counts
110 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- t z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))

series122.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (- t z))
32.0ms
(cbrt (- y z))
30.0ms
(cbrt (- y z))
30.0ms
(cbrt (- y z))

simplify29.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05214572

prune104.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh077
Picked011
Done011
Total72981

Merged error: 0b

Counts
81 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
3.2b
(* x (* (- y z) (/ 1 (- t z))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
6.0ms
(/ 1 (- t z))
15.0ms
(* (- y z) (/ 1 (- t z)))
15.0ms
(* x (* (- y z) (/ 1 (- t z))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ 1 (- t z))
11.0ms
(* (- y z) (/ 1 (- t z)))
19.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050651083

prune121.0ms

Filtered
75 candidates to 128 candidates (-70.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done022
Total1289137

Merged error: 0b

Counts
137 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z))))
4.5b
(cbrt (/ (- y z) (- t z)))
4.5b
(cbrt (/ (- y z) (- t z)))
4.5b
(cbrt (/ (- y z) (- t z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
39.0ms
(* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z))))
8.0ms
(cbrt (/ (- y z) (- t z)))
8.0ms
(cbrt (/ (- y z) (- t z)))
8.0ms
(cbrt (/ (- y z) (- t z)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z))))
69.0ms
(cbrt (/ (- y z) (- t z)))
71.0ms
(cbrt (/ (- y z) (- t z)))
68.0ms
(cbrt (/ (- y z) (- t z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
053035469

prune229.0ms

Filtered
176 candidates to 288 candidates (-63.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2880288
Fresh055
Picked011
Done033
Total2889297

Merged error: 0b

Counts
297 → 9

regimes309.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731
11731

end0.0ms

sample744.0ms

Algorithm
intervals
Results
295.0ms8731×body80valid

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