Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

351×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 6.5b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

14.0ms	(* y (- x z))
7.0ms	(* t (* y (- x z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (- x z))
57.0ms	(* t (* y (- x z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

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

prune89.0ms

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: 0.1b

Counts

62 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.6b	(* (* t y) (- x z))

rewrite11.0ms

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:

10.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify93.0ms

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

prune54.0ms

Filtered

29 candidates to 16 candidates (55.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	27	10	37

Merged error: 0.0b

Counts

37 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (* t y) (- x z))
7.0b	(cbrt (* (* t y) (- x z)))
7.0b	(cbrt (* (* t y) (- x z)))
7.0b	(cbrt (* (* t y) (- x z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

10.0ms	(* (* t y) (- x z))
5.0ms	(cbrt (* (* t y) (- x z)))
5.0ms	(cbrt (* (* t y) (- x z)))
5.0ms	(cbrt (* (* t y) (- x z)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* t y) (- x z))
115.0ms	(cbrt (* (* t y) (- x z)))
114.0ms	(cbrt (* (* t y) (- x z)))
116.0ms	(cbrt (* (* t y) (- x z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	280	449
1	1108	399
2	5001	390

prune204.0ms

Filtered

71 candidates to 55 candidates (77.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	71	10	81

Merged error: 0.0b

Counts

81 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (* t y) (- x z))
7.0b	(cbrt (* (* t y) (- x z)))
7.0b	(cbrt (* (* t y) (- x z)))
11.3b	(cbrt (* t y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

7.0ms	(* (* t y) (- x z))
5.0ms	(cbrt (* (* t y) (- x z)))
5.0ms	(cbrt (* (* t y) (- x z)))
2.0ms	(cbrt (* t y))

series363.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* t y) (- x z))
123.0ms	(cbrt (* (* t y) (- x z)))
123.0ms	(cbrt (* (* t y) (- x z)))
69.0ms	(cbrt (* t y))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	319	394
1	1196	346
2	5001	334

prune202.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

regimes194.0ms

Accuracy

-7.4% (6.9b remaining)

Error of 6.9b against oracle of 0.0b and baseline of 6.4b

bsearch75.0ms

Steps

Iters	Range	Point
10	4.506555211749782e+140	3.492783717345405e+156	4.680428607048077e+145
5	3.5194761820129136e-196	7.265284548295815e-196	4.37785325796561e-196
3	-1.2586218614794473e-256	-1.0528189432482735e-256	-1.245759179089999e-256

Iters

Range

Point

4.506555211749782e+140

3.492783717345405e+156

4.680428607048077e+145

3.5194761820129136e-196

7.265284548295815e-196

4.37785325796561e-196

-1.2586218614794473e-256

-1.0528189432482735e-256

-1.245759179089999e-256

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	34	18
1	45	9
2	52	9
3	52	9

end0.0ms

sample547.0ms

Algorithm

intervals

Results

274.0ms

10665×

body

valid