Details

Time bar (total: 4.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms350×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

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: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* x y)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (- 1.0 (* x y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35002113

prune49.0ms

Filtered
27 candidates to 16 candidates (59.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New21627
Fresh000
Picked011
Done000
Total21728

Merged error: 0.0b

Counts
28 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series918.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt (- 1.0 (* x y)))
232.0ms
(cbrt (- 1.0 (* x y)))
228.0ms
(cbrt (- 1.0 (* x y)))
226.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03541088
113681031
25001970

prune276.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New96399
Fresh235
Picked101
Done011
Total997106

Merged error: 0.0b

Counts
106 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(* (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
396×cbrt-div
148×frac-times
126×flip3-- flip--
60×add-sqr-sqrt
56×cbrt-prod
50×associate-*r/ associate-*l/
32×pow1 add-cube-cbrt *-un-lft-identity
24×pow1/3
22×swap-sqr associate-*r* associate-*l*
16×unswap-sqr
12×add-exp-log
8×pow-prod-down pow-sqr pow-prod-up
4×pow2 pow-plus prod-exp *-commutative add-cbrt-cube cbrt-unprod add-log-exp
Counts
4 → 258
Calls
4 calls:
13.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
9.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
11.0ms
(* (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))))

series920.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
226.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
232.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
232.0ms
(* (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05575636
118615438
250015158

prune696.0ms

Filtered
270 candidates to 144 candidates (53.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2691270
Fresh145
Picked011
Done011
Total2707277

Merged error: 0.0b

Counts
277 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
2.1b
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
5.4b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
5.4b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
28×add-exp-log cbrt-div
20×add-cbrt-cube
17×pow-prod-down
12×prod-exp cbrt-unprod
8×cbrt-prod frac-times flip3-- associate-/r/ flip-- associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
4×cbrt-undiv associate-*r/ div-exp associate-*l/ pow-sqr pow-prod-up add-log-exp
2×pow-plus pow1/3 difference-of-squares
1×pow2 frac-2neg times-frac swap-sqr associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
7.0ms
(* (* x y) (* x y))
18.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series533.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* x y) (* x y))
266.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
115.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
121.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05411477
121791209
250011184

prune341.0ms

Filtered
111 candidates to 73 candidates (65.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1101111
Fresh134
Picked011
Done022
Total1117118

Merged error: 0.0b

Counts
118 → 7

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample356.0ms

Algorithm
intervals
Results
193.0ms10680×body80valid