Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune3.0ms

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: 7.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.4b
(/ x (* (- y z) (- t z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
frac-times associate-/r/
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
11.0ms
(* (- y z) (- t z))
10.0ms
(/ x (* (- y z) (- t z)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (- t z))
144.0ms
(/ x (* (- y z) (- t z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0384705
11834535
25002528

prune200.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New83891
Fresh000
Picked101
Done000
Total84892

Merged error: 0.0b

Counts
92 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
26×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
div-exp
prod-exp
associate-/r/ unswap-sqr
cbrt-undiv associate-/r*
pow1 cbrt-unprod
flip3-- flip-- div-inv associate-/l*
expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 113
Calls
2 calls:
6.0ms
(/ x (- t z))
22.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series275.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- t z))
243.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0472736
12014646
25001626

prune260.0ms

Filtered
119 candidates to 80 candidates (67.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1154119
Fresh347
Picked101
Done000
Total1198127

Merged error: 0b

Counts
127 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.1b
(/ (/ x (- t z)) (- y z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 189
Calls
2 calls:
6.0ms
(/ x (- t z))
13.0ms
(/ (/ x (- t z)) (- y z))

series175.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- t z))
143.0ms
(/ (/ x (- t z)) (- y z))

simplify83.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
06441751
123221707
250011707

prune443.0ms

Filtered
195 candidates to 133 candidates (68.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1932195
Fresh257
Picked011
Done000
Total1958203

Merged error: 0b

Counts
203 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) x)
0.4b
(/ 1 (/ (- t z) x))
1.1b
(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
associate-/r/
pow1 rec-exp 1-exp
expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
flip3-- flip--
pow-flip div-sub inv-pow
Counts
3 → 544
Calls
3 calls:
7.0ms
(/ (- t z) x)
10.0ms
(/ 1 (/ (- t z) x))
26.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

series370.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- t z) x)
72.0ms
(/ 1 (/ (- t z) x))
262.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

simplify122.0ms

Algorithm
egg-herbie
Counts
553 → 553
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
017706479
150015953

prune996.0ms

Filtered
553 candidates to 285 candidates (51.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5521553
Fresh336
Picked011
Done011
Total5556561

Merged error: 0b

Counts
561 → 6

regimes110.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084

end0.0ms

sample450.0ms

Algorithm
intervals
Results
235.0ms8553×body80valid

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