Details

Time bar (total: 2.7s)

sample32.0ms

Algorithm
intervals
Results
11.0ms354×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112674
1223334
1335874
1450024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
8.4b
(/ (* (- y x) z) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
5.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)
7.0ms
(/ (* (- y x) z) t)

series34.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
12.0ms
(/ (* (- y x) z) t)

simplify34.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0283314
11117267
25001267

prune96.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New57966
Fresh000
Picked101
Done000
Total58967

Merged error: 0.0b

Counts
67 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.7b
(/ (- y x) (/ t z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
18.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series24.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

simplify62.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0609959
12199914
25001913

prune127.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1164120
Fresh448
Picked011
Done000
Total1209129

Merged error: 0b

Counts
129 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
2.3b
(/ (cbrt (- y x)) (/ t z))
4.6b
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
270×add-sqr-sqrt
257×*-un-lft-identity
187×add-cube-cbrt
170×cbrt-prod
117×associate-*r*
40×cbrt-div
34×distribute-lft-out--
32×add-exp-log difference-of-squares
20×frac-times flip3-- flip--
19×div-inv
18×add-cbrt-cube
16×pow1
14×associate-*l/
13×associate-/r*
10×swap-sqr prod-exp cbrt-unprod
9×cbrt-undiv div-exp associate-*l* unswap-sqr
8×associate-/l*
7×pow1/3 associate-*r/
5×pow-prod-down
4×add-log-exp
2×associate-/r/ pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 frac-2neg pow-plus clear-num
Counts
4 → 367
Calls
4 calls:
3.0ms
(cbrt (- y x))
11.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
11.0ms
(/ (cbrt (- y x)) (/ t z))
35.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- y x))
30.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
71.0ms
(/ (cbrt (- y x)) (/ t z))
13.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
379 → 379
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014694170
150014023

prune342.0ms

Filtered
288 candidates to 379 candidates (-31.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3790379
Fresh077
Picked011
Done011
Total3799388

Merged error: 0b

Counts
388 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ (- y x) t) (/ 1 z)))
0.0b
(/ (- y x) t)
5.5b
(/ (/ (- y x) t) (/ 1 z))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
652×times-frac
373×*-un-lft-identity
371×add-sqr-sqrt
279×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
36×div-inv
27×add-exp-log
24×associate-/l*
17×div-exp add-cbrt-cube
16×associate-/r*
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 associate-/l/
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative associate-+r- flip3-- flip3-+ sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
3 → 355
Calls
3 calls:
54.0ms
(+ x (/ (/ (- y x) t) (/ 1 z)))
6.0ms
(/ (- y x) t)
14.0ms
(/ (/ (- y x) t) (/ 1 z))

series29.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ (/ (- y x) t) (/ 1 z)))
6.0ms
(/ (- y x) t)
12.0ms
(/ (/ (- y x) t) (/ 1 z))

simplify75.0ms

Algorithm
egg-herbie
Counts
364 → 364
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016163963
150013554

prune261.0ms

Filtered
198 candidates to 364 candidates (-83.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3631364
Fresh246
Picked011
Done022
Total3658373

Merged error: 0b

Counts
373 → 8

regimes291.0ms

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 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample730.0ms

Algorithm
intervals
Results
340.0ms10697×body80valid

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