Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

313×

body

valid

simplify9.0ms

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.8b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

1.7b	(* 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)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (4.0ms)

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

prune54.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	7	28

Merged error: 1.7b

Counts

28 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (neg (* y z))))
4.7b	(* x (neg (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (neg (* y z))))
5.0ms	(* x (neg (* y z)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x 1.0) (* x (neg (* y z))))
6.0ms	(* x (neg (* y z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	181	204
1	1018	178
2	5001	174

prune51.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (neg y)) z))
4.9b	(* (* x (neg y)) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

2 → 32

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x (neg y)) z))
5.0ms	(* (* x (neg y)) z)

series15.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x 1.0) (* (* x (neg y)) z))
6.0ms	(* (* x (neg y)) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	203	197
1	955	172
2	5001	160

prune50.0ms

Filtered

28 candidates to 38 candidates (-35.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 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)))

rewrite23.0ms

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))))
2.0ms	(sqrt (- 1.0 (* y z)))
2.0ms	(sqrt (- 1.0 (* y z)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (sqrt (- 1.0 (* y z))))
9.0ms	(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
13.0ms	(sqrt (- 1.0 (* y z)))
15.0ms	(sqrt (- 1.0 (* y z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	346	714
1	1537	637
2	5001	631

prune130.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

regimes278.0ms

Accuracy

13.2% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.4b

bsearch32.0ms

Steps

Iters	Range		Point
6	-1.1928289536765795e-221	-1.3185365163251068e-222	-1.836477749590079e-222
9	-1.1762651014300478e+113	-4.5098908183440684e+105	-5.423014990298349e+105

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	10
1	49	10
2	53	10
3	53	10

end0.0ms

sample495.0ms

Algorithm

intervals

Results

237.0ms

9582×

body

valid

Details

sample19.0ms

simplify9.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series9.0ms

simplify53.0ms

prune54.0ms

localize10.0ms

rewrite9.0ms

series16.0ms

simplify42.0ms

prune51.0ms

localize7.0ms

rewrite9.0ms

series15.0ms

simplify37.0ms

prune50.0ms

localize7.0ms

rewrite23.0ms

series53.0ms

simplify45.0ms

prune130.0ms

regimes278.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample495.0ms

Profiling