Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
11.0ms331×body80valid

simplify207.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1036584
1140314
1244294
1350024

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: 3.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
7.0ms
(* (- 1.0 y) z)
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- 1.0 y) z)
45.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify90.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune76.0ms

Filtered
52 candidates to 33 candidates (63.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh000
Picked011
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.2b
(* (* x z) (- y 1.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

series106.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
45.0ms
(* (* x z) (- y 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0257266
11177224
25002219

prune69.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh033
Picked011
Done011
Total45752

Merged error: 0.0b

Counts
52 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.6b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
11.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
24.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
15.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series432.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (- y 1.0))
114.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
67.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
157.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify104.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07871899
133051673
250021575

prune330.0ms

Filtered
171 candidates to 95 candidates (55.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1701171
Fresh044
Picked011
Done022
Total1708178

Merged error: 0b

Counts
178 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.6b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
2.6b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
350×cbrt-div
144×frac-times
128×associate-*r/
121×flip3-- flip--
64×pow1
59×add-exp-log
48×associate-*l/
41×pow-prod-down
40×prod-exp cbrt-unprod
35×add-cbrt-cube
33×cbrt-prod
31×add-sqr-sqrt
29×*-un-lft-identity
13×add-cube-cbrt
10×swap-sqr associate-*r* associate-*l*
7×pow1/3 distribute-lft-out--
5×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 221
Calls
4 calls:
5.0ms
(cbrt (- y 1.0))
12.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
32.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
16.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series645.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (- y 1.0))
118.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
266.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
159.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify141.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
013604385
148294084
250014070

prune577.0ms

Filtered
233 candidates to 129 candidates (55.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2330233
Fresh044
Picked011
Done033
Total2338241

Merged error: 0b

Counts
241 → 8

regimes321.0ms

Accuracy

90.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample467.0ms

Algorithm
intervals
Results
271.0ms10136×body80valid

Profiling

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