Details

Time bar (total: 2.6s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
9.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0220502
1647479
21838479
35001479

prune95.0ms

Filtered
71 candidates to 47 candidates (33.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65671
Fresh000
Picked011
Done000
Total65772

Merged error: 6.8b

Counts
72 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.1b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
16.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
06122119
127201933
250011769

prune152.0ms

Filtered
219 candidates to 97 candidates (55.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2181219
Fresh145
Picked011
Done011
Total2197226

Merged error: 6.8b

Counts
226 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

2.1b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
9.3b
(cbrt (- 1.0 (/ y z)))
9.3b
(cbrt (- 1.0 (/ y z)))
9.3b
(cbrt (- 1.0 (/ y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 frac-times associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 81
Calls
4 calls:
18.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
34.0ms
(cbrt (- 1.0 (/ y z)))
36.0ms
(cbrt (- 1.0 (/ y z)))
34.0ms
(cbrt (- 1.0 (/ y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0339832
1861758
22614740
35002710

prune176.0ms

Filtered
93 candidates to 72 candidates (22.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh044
Picked011
Done022
Total937100

Merged error: 6.8b

Counts
100 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ y z) 3)
3.6b
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
3.8b
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
19.4b
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
516×add-sqr-sqrt
355×times-frac
321×*-un-lft-identity
216×difference-of-squares
175×unpow-prod-down cube-prod
138×associate-*l*
97×add-cube-cbrt
91×sqr-pow
67×distribute-lft-out
45×distribute-lft-out--
33×associate-/r*
14×add-exp-log add-cbrt-cube
9×difference-cubes
7×pow1
6×associate-*r/ add-log-exp
4×flip3-+ associate-/r/ flip-+ div-inv associate-/l*
3×cbrt-undiv frac-times pow-unpow div-exp associate-*r* frac-add
2×flip3-- associate-*l/ pow-exp prod-exp flip-- cbrt-unprod associate-/l/ rem-cube-cbrt unswap-sqr
1×+-commutative cube-div distribute-rgt-in cube-mult pow-to-exp distribute-rgt-out pow-pow frac-2neg distribute-lft-in unpow3 pow-prod-down clear-num sum-log *-commutative
Counts
4 → 409
Calls
4 calls:
8.0ms
(pow (/ y z) 3)
30.0ms
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
6.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
56.0ms
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(pow (/ y z) 3)
22.0ms
(/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3)))
8.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
50.0ms
(* (/ (+ x y) (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
421 → 421
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
013815420
150015225

prune555.0ms

Filtered
421 candidates to 192 candidates (54.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4210421
Fresh033
Picked011
Done033
Total4217428

Merged error: 6.8b

Counts
428 → 7

regimes244.0ms

Accuracy

65.2% (0.7b remaining)

Error of 6.5b against oracle of 5.9b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample508.0ms

Algorithm
intervals
Results
234.0ms7999×body80valid
0.0ms1×body640valid

Profiling

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