Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

351×

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

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 8.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
7.6b	(* 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)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* y (- x z))
44.0ms	(* 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

prune94.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

5.8b	(* (* 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))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify99.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (7.0ms)

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

prune50.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	28	9	37

Merged error: 0.0b

Counts

37 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* t y) x) (* (* t y) (- z)))
3.2b	(* (* t y) x)
4.1b	(* (* t y) (- z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

5.0ms	(+ (* (* t y) x) (* (* t y) (- z)))
5.0ms	(* (* t y) x)
6.0ms	(* (* t y) (- z))

series108.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* (* t y) x) (* (* t y) (- z)))
23.0ms	(* (* t y) x)
25.0ms	(* (* t y) (- z))

simplify65.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	291	299
1	1716	249
2	5002	243

prune112.0ms

Filtered

67 candidates to 47 candidates (70.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* 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)))

rewrite26.0ms

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:

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

series392.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* t y) (- x z))
115.0ms	(cbrt (* (* t y) (- x z)))
115.0ms	(cbrt (* (* t y) (- x z)))
118.0ms	(cbrt (* (* t y) (- x z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

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

prune161.0ms

Filtered

71 candidates to 55 candidates (77.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	71	9	80

Merged error: 0.0b

Counts

80 → 9

regimes167.0ms

Accuracy

57% (2.7b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 6.2b

bsearch67.0ms

Steps

Iters	Range		Point
6	5.323899295849905e-31	5.7589501133516216e-30	2.9579169691634028e-30
10	-5.333455327931211e+22	-6396838436636.773	-873265403809526.1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	9
1	33	9
2	40	9
3	40	9

end0.0ms

sample614.0ms

Algorithm

intervals

Results

343.0ms

10763×

body

valid