Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

481×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

17.0ms

(* (+ x y) (+ x y))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (+ x y) (+ x y))

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	189	213
1	901	188
2	5001	170

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.8b	(pow (cbrt (+ x y)) 4)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
5.0ms	(pow (cbrt (+ x y)) 4)

series604.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ x y))
133.0ms	(cbrt (+ x y))
124.0ms	(cbrt (+ x y))
219.0ms	(pow (cbrt (+ x y)) 4)

simplify107.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	221	388
1	727	362
2	2880	344
3	5001	342

prune199.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* y y))
0.2b	(* (- (* x x) (* y y)) (+ x y))
18.9b	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3-+` `flip-+`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

3.0ms	(- (* x x) (* y y))
16.0ms	(* (- (* x x) (* y y)) (+ x y))
12.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

series118.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* x x) (* y y))
42.0ms	(* (- (* x x) (* y y)) (+ x y))
44.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

simplify74.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	436	731
1	2661	647
2	5001	647

prune182.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

18.9b	(/ (* (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (- x y))
26.7b	(cbrt (* (- (* x x) (* y y)) (+ x y)))
26.7b	(cbrt (* (- (* x x) (* y y)) (+ x y)))
26.7b	(cbrt (* (- (* x x) (* y y)) (+ x y)))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
739×	`flip3--` `flip--`
738×	`flip3-+` `flip-+`
728×	`associate-/l/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-/r*`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 808

Calls

4 calls:

119.0ms	(/ (* (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (- x y))
6.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
6.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
6.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (* (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (- x y))
145.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
147.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))
153.0ms	(cbrt (* (- (* x x) (* y y)) (+ x y)))

simplify218.0ms

Algorithm

egg-herbie

Counts

820 → 820

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	3236	21668
1	5002	21412

prune5.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	5	3

end0.0ms

sample431.0ms

Algorithm

intervals

Results

213.0ms

14266×

body

valid