Details

Time bar (total: 1.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms350×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune43.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628

Merged error: 0.0b

Counts
28 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
14.0ms
(* (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
39.0ms
(cbrt (- 1.0 (* x y)))
37.0ms
(cbrt (- 1.0 (* x y)))
37.0ms
(cbrt (- 1.0 (* x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04781623
117171470
250021391

prune202.0ms

Filtered
70 candidates to 101 candidates (-44.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh044
Picked011
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* x y) (* x y))
1.0b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
6.6b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
1×pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
6.0ms
(* (* x y) (* x y))
6.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
8.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (* x y) (* x y))
12.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
15.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381646
12121527
25003527

prune90.0ms

Filtered
51 candidates to 93 candidates (-82.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh134
Picked101
Done112
Total955100

Merged error: 0b

Counts
100 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (pow x 2) y))
8.1b
(* (pow x 2) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 39
Calls
2 calls:
2.0ms
(- x (* (pow x 2) y))
7.0ms
(* (pow x 2) y)

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- x (* (pow x 2) y))
4.0ms
(* (pow x 2) y)

simplify126.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0149185
1531161
23122160
35001160

prune48.0ms

Filtered
29 candidates to 45 candidates (-55.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done011
Total45550

Merged error: 0b

Counts
50 → 5

regimes122.0ms

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

sample470.0ms

Algorithm
intervals
Results
242.0ms10651×body80valid

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