Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample92.0ms

Algorithm

intervals

Results

28.0ms	348×	body	80	invalid
21.0ms	256×	body	80	valid

simplify305.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (303.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 14.5b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* t i))
4.7b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))
6.4b	(* j (- (* c a) (* y i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

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

series66.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c z) (* t i))
18.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* c z) (* t i)))
20.0ms	(* j (- (* c a) (* y i)))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune204.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	75	14	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	14	90

Merged error: 4.2b

Counts

90 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

4.3b	(* i (* b (neg t)))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* c (* b z))
6.4b	(* j (- (* c a) (* y i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* i (* b (neg t)))
6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* c (* b z))
6.0ms	(* j (- (* c a) (* y i)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* i (* b (neg t)))
18.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* c (* b z))
20.0ms	(* j (- (* c a) (* y i)))

simplify33.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5187	786

prune190.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	91	16	107

Merged error: 4.0b

Counts

107 → 16

localize25.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* i b) (neg t))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* c (* b z))
6.4b	(* j (- (* c a) (* y i)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* (* i b) (neg t))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* c (* b z))
7.0ms	(* j (- (* c a) (* y i)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* i b) (neg t))
18.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* c (* b z))
18.0ms	(* j (- (* c a) (* y i)))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5369	831

prune191.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	100	16	116

Merged error: 4.0b

Counts

116 → 16

localize24.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* t i)))
6.4b	(* j (- (* c a) (* y i)))
6.4b	(* j (- (* c a) (* y i)))
6.4b	(* j (- (* c a) (* y i)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* j (- (* c a) (* y i)))
18.0ms	(* j (- (* c a) (* y i)))
20.0ms	(* j (- (* c a) (* y i)))

simplify40.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4973	1056
1	4973	1056

prune97.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	14	15
Picked	0	1	1
Done	0	0	0
Total	99	17	116

Merged error: 4.0b

Counts

116 → 17

regimes1.9s

Accuracy

37.5% (5.8b remaining)

Error of 9.1b against oracle of 3.3b and baseline of 12.6b

bsearch127.0ms

Steps

Iters	Range		Point
10	8.331056988435785e+83	5.496720202042204e+97	5.9759261791165706e+85
8	-3.377931727408343e-35	-2.7825430503924044e-39	-1.9562468092035635e-38

simplify17.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	879	71
1	879	71

end0.0ms

sample2.6s

Algorithm

intervals

Results

959.0ms	11390×	body	80	invalid
676.0ms	8000×	body	80	valid

Details

analyze2.0s

sample92.0ms

simplify305.0ms

prune12.0ms

localize19.0ms

rewrite23.0ms

series66.0ms

simplify45.0ms

prune204.0ms

localize21.0ms

rewrite23.0ms

series50.0ms

simplify33.0ms

prune190.0ms

localize25.0ms

rewrite25.0ms

series48.0ms

simplify50.0ms

prune191.0ms

localize24.0ms

rewrite26.0ms

series75.0ms

simplify40.0ms

prune97.0ms

regimes1.9s

bsearch127.0ms

simplify17.0ms

end0.0ms

sample2.6s

Profiling