Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

310×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
2.0b	(* x (- 1.0 (* y z)))

rewrite8.0ms

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 (* y z))
5.0ms	(* x (- 1.0 (* y z)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- 1.0 (* y z))
48.0ms	(* x (- 1.0 (* y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	143	187
1	560	166
2	2091	166
3	5003	166

prune83.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (- 1.0 (* y z))))
2.0b	(* x (- 1.0 (* y z)))
2.0b	(* x (- 1.0 (* y z)))
2.0b	(* x (- 1.0 (* y z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt (* x (- 1.0 (* y z))))
5.0ms	(* x (- 1.0 (* y z)))
5.0ms	(* x (- 1.0 (* y z)))
5.0ms	(* x (- 1.0 (* y z)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (* x (- 1.0 (* y z))))
48.0ms	(* x (- 1.0 (* y z)))
44.0ms	(* x (- 1.0 (* y z)))
48.0ms	(* x (- 1.0 (* y z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	219	491
1	764	434
2	2979	430
3	5002	427

prune232.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt x) (- 1.0 (* y z)))
1.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.0b	(* x (- 1.0 (* y z)))
2.0b	(* x (- 1.0 (* y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* (cbrt x) (- 1.0 (* y z)))
11.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
5.0ms	(* x (- 1.0 (* y z)))
6.0ms	(* x (- 1.0 (* y z)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt x) (- 1.0 (* y z)))
66.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
48.0ms	(* x (- 1.0 (* y z)))
48.0ms	(* x (- 1.0 (* y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	337	831
1	1588	633
2	5001	523

prune281.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (- 1.0 (* y z))))
0.1b	(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
0.7b	(sqrt (- 1.0 (* y z)))
0.7b	(sqrt (- 1.0 (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (- 1.0 (* y z))))
10.0ms	(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
6.0ms	(sqrt (- 1.0 (* y z)))
2.0ms	(sqrt (- 1.0 (* y z)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (sqrt (- 1.0 (* y z))))
45.0ms	(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
90.0ms	(sqrt (- 1.0 (* y z)))
91.0ms	(sqrt (- 1.0 (* y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	339	720
1	1481	623
2	5001	611

prune217.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.0b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample383.0ms

Algorithm

intervals

Results

190.0ms

9621×

body

valid