Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
10.0ms292×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0510811

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*r*
19×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-/r* associate-/r/ flip-+ associate-/l*
3×associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 93
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
14.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
6.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
10.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051771226

prune128.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New984102
Fresh011
Picked101
Done000
Total995104

Merged error: 0.0b

Counts
104 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.4b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.4b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.4b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
279×*-un-lft-identity
206×cbrt-prod
158×times-frac
103×add-sqr-sqrt
88×distribute-lft-out
79×add-cube-cbrt
45×swap-sqr
25×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 218
Calls
4 calls:
31.0ms
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
11.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
20.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
21.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
25.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
053174737

prune444.0ms

Filtered
134 candidates to 230 candidates (-71.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2291230
Fresh044
Picked011
Done000
Total2296235

Merged error: 0.0b

Counts
235 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.4b
(cbrt (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))
0.4b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.4b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
118×cbrt-prod
114×*-un-lft-identity
60×times-frac
54×add-sqr-sqrt
46×add-cube-cbrt
33×distribute-lft-out
15×cbrt-div
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+
7×associate-*r* associate-*l*
6×add-exp-log associate-/r/
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×div-inv
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 158
Calls
4 calls:
16.0ms
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
10.0ms
(cbrt (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

series133.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
46.0ms
(cbrt (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))
20.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
24.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
064462783

prune523.0ms

Filtered
108 candidates to 170 candidates (-57.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh044
Picked011
Done011
Total1706176

Merged error: 0.0b

Counts
176 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05837334

prune69.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh033
Picked011
Done022
Total84791

Merged error: 0.0b

Counts
91 → 7

regimes157.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02650
12650

end0.0ms

sample537.0ms

Algorithm
intervals
Results
300.0ms9084×body80valid

Profiling

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