Details

sample10.0ms

Algorithm

intervals

Results

4.0ms	252×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	21	2
3	26	2
4	26	2

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	(* 200.0 (- x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `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` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

10.0ms

(* 200.0 (- x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 200.0 (- x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	460	88
2	1881	88
3	5001	88

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.5b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
7×	`-un-lft-identity` `associate-l*`
6×	`sub-neg` `associate-r/` `associate-r*`
5×	`add-cube-cbrt`
4×	`cbrt-prod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 62

Calls

2 calls:

11.0ms	(* (cbrt 200.0) (- x y))
26.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (cbrt 200.0) (- x y))
72.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	246	492
1	1114	356
2	5002	295

prune92.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 200.0) (- x y))
0.3b	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

14.0ms	(* (sqrt 200.0) (- x y))
17.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (sqrt 200.0) (- x y))
95.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify119.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	193	327
1	854	268
2	4407	268
3	5001	268

prune89.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* 200.0 (- x y)))
0.5b	(cbrt (* 200.0 (- x y)))
0.5b	(cbrt (* 200.0 (- x y)))
0.6b	(* (cbrt (* 200.0 (- x y))) (cbrt (* 200.0 (- x y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (* 200.0 (- x y)))
3.0ms	(cbrt (* 200.0 (- x y)))
3.0ms	(cbrt (* 200.0 (- x y)))
12.0ms	(* (cbrt (* 200.0 (- x y))) (cbrt (* 200.0 (- x y))))

series863.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (* 200.0 (- x y)))
215.0ms	(cbrt (* 200.0 (- x y)))
210.0ms	(cbrt (* 200.0 (- x y)))
225.0ms	(* (cbrt (* 200.0 (- x y))) (cbrt (* 200.0 (- x y))))

simplify171.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	281	658
1	1000	607
2	4992	568
3	5001	568

prune210.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes75.0ms

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	6	2
1	6	2

end0.0ms

sample252.0ms

Algorithm

intervals

Results

121.0ms	7926×	body	80	valid
3.0ms	56×	body	1280	valid
2.0ms	45×	body	640	valid
1.0ms	19×	body	2560	valid
1.0ms	15×	body	320	valid
0.0ms	11×	body	160	valid