Details

sample70.0ms

Algorithm

intervals

Results

37.0ms

574×

body

valid

simplify78.0ms

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)))

rewrite38.0ms

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:

15.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* x (- (* y z) (* t a)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

557.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
65.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* x (- (* y z) (* t a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	961	1832
1	5001	1770

prune538.0ms

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

localize25.0ms

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)))

rewrite17.0ms

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:

6.0ms	(* 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)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (- (* y z) (* t a)))
123.0ms	(cbrt (- (* c a) (* y i)))
115.0ms	(cbrt (- (* c a) (* y i)))
116.0ms	(cbrt (- (* c a) (* y i)))

simplify105.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (94.0ms)

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

prune438.0ms

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

localize24.0ms

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)))

rewrite34.0ms

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:

7.0ms	(* (cbrt j) (- (* c a) (* y i)))
12.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* x (- (* y z) (* t a)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt j) (- (* c a) (* y i)))
99.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
69.0ms	(* b (- (* c z) (* t i)))
70.0ms	(* 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

prune480.0ms

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

localize30.0ms

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))))

rewrite22.0ms

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)))
5.0ms	(cbrt (* b (- (* c z) (* t i))))
5.0ms	(cbrt (* b (- (* c z) (* t i))))
5.0ms	(cbrt (* b (- (* c z) (* t i))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (- (* y z) (* t a)))
137.0ms	(cbrt (* b (- (* c z) (* t i))))
141.0ms	(cbrt (* b (- (* c z) (* t i))))
137.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify102.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (96.0ms)

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

prune367.0ms

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

sample2.2s

Algorithm

intervals

Results

1.3s

19043×

body

valid

Details

sample70.0ms

simplify78.0ms

prune4.0ms

localize20.0ms

rewrite38.0ms

series756.0ms

simplify41.0ms

prune538.0ms

localize25.0ms

rewrite17.0ms

series418.0ms

simplify105.0ms

prune438.0ms

localize24.0ms

rewrite34.0ms

series512.0ms

simplify78.0ms

prune480.0ms

localize30.0ms

rewrite22.0ms

series485.0ms

simplify102.0ms

prune367.0ms

regimes1.2s

bsearch176.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling