Details

sample95.0ms

Algorithm

intervals

Results

53.0ms

574×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 13.0b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
5.0b	(* j (- (* c a) (* y i)))
5.1b	(* b (- (* c z) (* t i)))
6.6b	(* x (- (* y z) (* t a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-add`
11×	`sub-neg`
10×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+l+`
4×	`associate-+r+` `associate--l+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

11.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
5.0ms	(* j (- (* c a) (* y i)))
8.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* x (- (* y z) (* t a)))

series760.0ms

Counts

4 → 12

Calls

4 calls:

570.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
63.0ms	(* j (- (* c a) (* y i)))
61.0ms	(* b (- (* c z) (* t i)))
65.0ms	(* x (- (* y z) (* t a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	961	1832
1	5001	1770

prune515.0ms

Filtered

119 candidates to 81 candidates (68.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	97	22	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	22	120

Merged error: 5.2b

Counts

120 → 22

localize23.0ms

Local error

Found 4 expressions with local error:

6.6b	(* x (- (* y z) (* t a)))
6.7b	(cbrt (- (* c a) (* y i)))
6.7b	(cbrt (- (* c a) (* y i)))
6.7b	(cbrt (- (* c a) (* y i)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

5.0ms	(* x (- (* y z) (* t a)))
3.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (- (* y z) (* t a)))
108.0ms	(cbrt (- (* c a) (* y i)))
112.0ms	(cbrt (- (* c a) (* y i)))
108.0ms	(cbrt (- (* c a) (* y i)))

simplify96.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	315	590
1	1061	543
2	3732	525
3	5002	519

prune411.0ms

Filtered

75 candidates to 59 candidates (78.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	73	24	97

Merged error: 5.1b

Counts

97 → 24

localize23.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (cbrt j) (- (* c a) (* y i)))
2.8b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
5.1b	(* b (- (* c z) (* t i)))
6.6b	(* x (- (* y z) (* t a)))

rewrite31.0ms

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:

6.0ms	(* (cbrt j) (- (* c a) (* y i)))
11.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* x (- (* y z) (* t a)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt j) (- (* c a) (* y i)))
96.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
69.0ms	(* b (- (* c z) (* t i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify78.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	574	966
1	2598	762
2	5001	699

prune482.0ms

Filtered

120 candidates to 74 candidates (61.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	1	22	23
Picked	1	0	1
Done	0	0	0
Total	119	25	144

Merged error: 5.1b

Counts

144 → 25

localize29.0ms

Local error

Found 4 expressions with local error:

6.6b	(* x (- (* y z) (* t a)))
7.4b	(cbrt (* b (- (* c z) (* t i))))
7.4b	(cbrt (* b (- (* c z) (* t i))))
7.4b	(cbrt (* b (- (* c z) (* t i))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* b (- (* c z) (* t i))))
4.0ms	(cbrt (* b (- (* c z) (* t i))))
4.0ms	(cbrt (* b (- (* c z) (* t i))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* x (- (* y z) (* t a)))
135.0ms	(cbrt (* b (- (* c z) (* t i))))
139.0ms	(cbrt (* b (- (* c z) (* t i))))
137.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify117.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	314	542
1	1106	489
2	4138	480
3	5001	477

prune310.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	70	24	94

Merged error: 5.1b

Counts

94 → 24

regimes1.2s

Accuracy

-9.9% (8.4b remaining)

Error of 13.0b against oracle of 4.6b and baseline of 12.3b

bsearch176.0ms

Steps

Iters	Range		Point
7	6.1649740872251416e-254	1.2610435164743714e-251	1.4062639506984337e-253
8	-7.016314821924101e-246	-5.666039698648636e-250	-6.993667590391917e-250

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	62
1	72	62

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s

19043×

body

valid