Details

Time bar (total: 4.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms339×body80valid

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

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: 5.9b

Counts
2 → 1

localize7.0ms

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
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:
6.0ms
(* (- y x) z)
5.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series114.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (- y x) z)
35.0ms
(+ x (/ (* (- y x) z) t))
46.0ms
(/ (* (- y x) z) t)

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune123.0ms

Filtered
66 candidates to 45 candidates (68.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New60666
Fresh000
Picked011
Done000
Total60767

Merged error: 0.0b

Counts
67 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.6b
(/ (- y x) (/ t z))

rewrite36.0ms

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:
20.0ms
(+ x (/ (- y x) (/ t z)))
10.0ms
(/ (- y x) (/ t z))

series84.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (/ (- y x) (/ t z)))
49.0ms
(/ (- y x) (/ t z))

simplify59.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0609959
12199914
25001913

prune230.0ms

Filtered
120 candidates to 85 candidates (70.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1173120
Fresh415
Picked011
Done011
Total1216127

Merged error: 0b

Counts
127 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
2.1b
(/ (cbrt (- y x)) (/ t (cbrt z)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
658×times-frac
408×add-sqr-sqrt *-un-lft-identity
384×cbrt-prod
318×add-cube-cbrt
181×associate-*r*
78×add-exp-log
45×distribute-lft-out-- difference-of-squares
39×prod-exp cbrt-unprod
36×add-cbrt-cube
28×associate-*l/
26×cbrt-div
22×pow1 associate-/r*
19×div-inv
18×cbrt-undiv div-exp
16×frac-times
13×flip3-- pow-prod-down flip--
8×associate-/l*
5×associate-*r/
4×add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 487
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
60.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
13.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
184.0ms
(cbrt z)
72.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
174.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
499 → 499
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
020887563
150027057

prune1.8s

Filtered
499 candidates to 402 candidates (80.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4990499
Fresh033
Picked011
Done022
Total4996505

Merged error: 0b

Counts
505 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.0b
(* (- y x) (/ z t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×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:
4.0ms
(+ x (* (- y x) (/ z t)))
10.0ms
(* (- y x) (/ z t))

series99.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* (- y x) (/ z t)))
63.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296310
11245287
25001275

prune86.0ms

Filtered
55 candidates to 38 candidates (69.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New55055
Fresh022
Picked011
Done033
Total55661

Merged error: 0b

Counts
61 → 6

regimes139.0ms

Accuracy

-5.9% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch48.0ms

Steps
ItersRangePoint
9
-1.99197911074739e-83
-4.7470838813697984e-92
-8.175441446796426e-88

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample619.0ms

Algorithm
intervals
Results
353.0ms10711×body80valid

Profiling

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