Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

337×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
7.0ms	(* x (- 1.0 (* x y)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- 1.0 (* x y))
40.0ms	(* x (- 1.0 (* x y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	190
1	581	168
2	3052	168
3	5001	168

prune70.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* (- 1.0 (* x y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
7.0ms	(* (- 1.0 (* x y)) x)

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1.0 (* x y))
42.0ms	(* (- 1.0 (* x y)) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	134	174
1	502	155
2	2862	152
3	5002	152

prune70.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))

rewrite19.0ms

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:

9.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
270.0ms	(cbrt (* x (- 1.0 (* x y))))
270.0ms	(cbrt (* x (- 1.0 (* x y))))
262.0ms	(cbrt (* x (- 1.0 (* x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	427	1092
1	1666	1027
2	5002	991

prune242.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt x) (cbrt (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

22.0ms	(* (* (cbrt x) (cbrt (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
1.0ms	(cbrt x)

series989.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (* (cbrt x) (cbrt (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
266.0ms	(cbrt (* x (- 1.0 (* x y))))
267.0ms	(cbrt (* x (- 1.0 (* x y))))
174.0ms	(cbrt x)

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	509	937
1	2013	880
2	5002	850

prune248.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

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)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample341.0ms

Algorithm

intervals

Results

187.0ms

10690×

body

valid