Details

Time bar (total: 5.2s)

analyze1.4s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.36401%

Guaranteed chance to sample good point: 53.666157%

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
2.0ms63×body80invalid

simplify108.0ms

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
6.1b
(/ (* (- 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
add-cube-cbrt
pow1 associate-*l* add-log-exp
associate-*l/
times-frac associate-*r* associate-/r*
cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-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:
6.0ms
(* (- y x) z)
5.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series31.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- y x) z)
12.0ms
(+ x (/ (* (- y x) z) t))
12.0ms
(/ (* (- y x) z) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0283314
11117267
25001267

prune83.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New61566
Fresh000
Picked011
Done000
Total61667

Merged error: 0.0b

Counts
67 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
5.1b
(/ (- y x) (/ t z))

rewrite33.0ms

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*
add-exp-log add-cbrt-cube div-inv
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 div-sub associate-/l/
+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
19.0ms
(+ x (/ (- y x) (/ t z)))
9.0ms
(/ (- y x) (/ t z))

series26.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0609959
12199914
25001913

prune115.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh134
Picked011
Done011
Total1197126

Merged error: 0b

Counts
126 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.4b
(* (- y x) (/ z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*l*
pow1 add-log-exp
frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))

simplify39.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0296310
11245287
25001275

prune56.0ms

Filtered
37 candidates to 55 candidates (-48.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done022
Total55762

Merged error: 0b

Counts
62 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
1.5b
(/ (cbrt (- y x)) (/ t z))
3.9b
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

rewrite91.0ms

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
cbrt-undiv div-exp associate-*l* unswap-sqr
associate-/l*
pow1/3 associate-*r/
pow-prod-down
add-log-exp
associate-/r/ pow-sqr *-commutative pow-prod-up associate-/l/
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)))
10.0ms
(/ (cbrt (- y x)) (/ t z))
39.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- y x))
31.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
70.0ms
(/ (cbrt (- y x)) (/ t z))
14.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
379 → 379
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014694166
150014019

prune342.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3790379
Fresh033
Picked011
Done033
Total3797386

Merged error: 0b

Counts
386 → 7

regimes360.0ms

Accuracy

63.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

analyze1.4s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.36401%

Guaranteed chance to sample good point: 53.666157%

sample603.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
69.0ms1857×body80invalid

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