Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 5.7b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
5.4b	(* t (* y (- x z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

6.0ms	(* y (- x z))
7.0ms	(* t (* y (- x z)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (- x z))
45.0ms	(* t (* y (- x z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	201	242
1	924	211
2	5001	211

prune96.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* t (* x y)) (* t (* (- z) y)))
5.5b	(* t (* (- z) y))
6.2b	(* t (* x y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

5.0ms	(+ (* t (* x y)) (* t (* (- z) y)))
5.0ms	(* t (* (- z) y))
5.0ms	(* t (* x y))

series111.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* t (* x y)) (* t (* (- z) y)))
30.0ms	(* t (* (- z) y))
24.0ms	(* t (* x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	254	278
1	1059	233
2	5001	225

prune103.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* t x) y) (* t (* (- z) y)))
4.7b	(* (* t x) y)
5.5b	(* t (* (- z) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

5.0ms	(+ (* (* t x) y) (* t (* (- z) y)))
5.0ms	(* (* t x) y)
5.0ms	(* t (* (- z) y))

series114.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* (* t x) y) (* t (* (- z) y)))
24.0ms	(* (* t x) y)
30.0ms	(* t (* (- z) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	263	278
1	1264	241
2	5001	224

prune100.0ms

Filtered

59 candidates to 41 candidates (69.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

6.3b	(* (* t y) (- x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* t y) (- x z))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (* t y) (- x z))

simplify100.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	134
1	820	111
2	4326	111
3	5002	111

prune33.0ms

Filtered

29 candidates to 16 candidates (55.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	28	7	35

Merged error: 0.0b

Counts

35 → 7

regimes162.0ms

Accuracy

61.1% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 7.1b

bsearch59.0ms

Steps

Iters	Range		Point
8	1.7293130757303013e+19	2.02068220441663e+23	1.2845662350432105e+20
5	-9.315931322680382e+55	-3.6812255128977664e+55	-3.9490952796030677e+55

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	15
1	56	15
2	62	15
3	62	15

end0.0ms

sample618.0ms

Algorithm

intervals

Results

343.0ms

10705×

body

valid