Details

Time bar (total: 3.8s)

sample16.0ms

Algorithm
intervals
Results
8.0ms347×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2443
3623
4633
5633

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (- 1.0 (* x y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0151198
1642173
23593170
35001162

prune54.0ms

Filtered
35 candidates to 19 candidates (54.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New27835
Fresh000
Picked101
Done000
Total28836

Merged error: 0.0b

Counts
36 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))
49.4b
(fma (- y) x (* y x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
2 → 42
Calls
2 calls:
5.0ms
(* x (- 1.0 (* x y)))
1.0ms
(fma (- y) x (* y x))

series66.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- 1.0 (* x y)))
24.0ms
(fma (- y) x (* y x))

simplify109.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0161248
1676216
23769213
35001213

prune87.0ms

Filtered
48 candidates to 31 candidates (64.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh167
Picked011
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

localize9.0ms

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))))

rewrite19.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 95
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
9.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series914.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt (- 1.0 (* x y)))
231.0ms
(cbrt (- 1.0 (* x y)))
226.0ms
(cbrt (- 1.0 (* x y)))
219.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03691126
114381071
250011010

prune252.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh336
Picked011
Done011
Total1087115

Merged error: 0b

Counts
115 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ (* (cbrt (- (pow 1.0 3) (pow (* x y) 3))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y))))) (cbrt (+ 1.0 (* x y)))))
3.0b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
3.0b
(cbrt (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))
4.8b
(cbrt (- (pow 1.0 3) (pow (* x y) 3)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
20×cbrt-prod
17×add-sqr-sqrt
16×add-exp-log
9×*-un-lft-identity difference-of-squares
8×frac-times flip3-- associate-/r/ add-cbrt-cube flip-- associate-/l/
7×add-cube-cbrt flip3-+ flip-+
6×sqr-pow
4×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×unpow-prod-down cube-prod
1×difference-cubes frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* distribute-lft-out--
Counts
4 → 95
Calls
4 calls:
32.0ms
(/ (* (cbrt (- (pow 1.0 3) (pow (* x y) 3))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y))))) (cbrt (+ 1.0 (* x y)))))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
8.0ms
(cbrt (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))
9.0ms
(cbrt (- (pow 1.0 3) (pow (* x y) 3)))

series832.0ms

Counts
4 → 12
Calls
4 calls:
357.0ms
(/ (* (cbrt (- (pow 1.0 3) (pow (* x y) 3))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y))))) (cbrt (+ 1.0 (* x y)))))
118.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
232.0ms
(cbrt (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))
125.0ms
(cbrt (- (pow 1.0 3) (pow (* x y) 3)))

simplify97.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07792163
130531910
250011881

prune565.0ms

Filtered
107 candidates to 96 candidates (89.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done022
Total1077114

Merged error: 0b

Counts
114 → 7

regimes62.0ms

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
0148
1148

end0.0ms

sample410.0ms

Algorithm
intervals
Results
242.0ms10762×body80valid