Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

312×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 3.1b

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b	(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `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` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	127
1	493	111
2	1989	111
3	5001	111

prune57.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (- 1.0 (* y z))))
2.9b	(* x (- 1.0 (* y z)))
2.9b	(* x (- 1.0 (* y z)))
2.9b	(* 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)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (* x (- 1.0 (* y z))))
49.0ms	(* x (- 1.0 (* y z)))
45.0ms	(* x (- 1.0 (* y z)))
49.0ms	(* x (- 1.0 (* y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (66.0ms)

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

prune227.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt x) (- 1.0 (* y z)))
2.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.9b	(* x (- 1.0 (* y z)))
2.9b	(* x (- 1.0 (* y z)))

rewrite45.0ms

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:

10.0ms	(* (cbrt x) (- 1.0 (* y z)))
20.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
6.0ms	(* x (- 1.0 (* y z)))
5.0ms	(* x (- 1.0 (* y z)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt x) (- 1.0 (* y z)))
66.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
49.0ms	(* x (- 1.0 (* y z)))
49.0ms	(* x (- 1.0 (* y z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

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

prune302.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b	(* x (- 1.0 (* y z)))
2.9b	(* x (- 1.0 (* y z)))
2.9b	(* x (- 1.0 (* y z)))
2.9b	(* x (- 1.0 (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(* 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)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (- 1.0 (* y z)))
49.0ms	(* x (- 1.0 (* y z)))
51.0ms	(* x (- 1.0 (* y z)))
46.0ms	(* x (- 1.0 (* y z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	508
1	493	444
2	1989	444
3	5001	444

prune254.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample381.0ms

Algorithm

intervals

Results

193.0ms

9590×

body

valid