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

33.0ms	378×	body	80	invalid
20.0ms	256×	body	80	valid

simplify307.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (305.0ms)

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: 11.8b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
4.6b	(* x (- (* y z) (* t a)))
5.1b	(* j (- (* c a) (* y i)))
5.5b	(* b (- (* c z) (* t 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 a) (* y i))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* b (- (* c z) (* t i)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c a) (* y i))
21.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c a) (* y i)))
18.0ms	(* b (- (* c z) (* t i)))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune234.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	71	18	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	18	90

Merged error: 4.2b

Counts

90 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

4.6b	(* x (- (* y z) (* t a)))
5.5b	(* b (- (* c z) (* t i)))
5.6b	(* i (* j (neg y)))
6.3b	(* c (* j a))

rewrite24.0ms

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:

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

series50.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* c z) (* t i)))
8.0ms	(* i (* j (neg y)))
6.0ms	(* c (* j a))

simplify33.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5173	786

prune185.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	10	7	17
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Merged error: 0.8b

Counts

111 → 13

localize31.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (cbrt i) (cbrt i)) (* j (* (neg y) (cbrt i))))
4.6b	(* x (- (* y z) (* t a)))
5.5b	(* b (- (* c z) (* t i)))
6.3b	(* c (* j a))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

11.0ms	(* (* (cbrt i) (cbrt i)) (* j (* (neg y) (cbrt i))))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* t i)))
4.0ms	(* c (* j a))

series57.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (cbrt i) (cbrt i)) (* j (* (neg y) (cbrt i))))
22.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* c (* j a))

simplify39.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4975	864
1	4975	864

prune156.0ms

Filtered

62 candidates to 103 candidates (-66.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	104	12	116

Merged error: 0.8b

Counts

116 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

4.6b	(* x (- (* y z) (* t a)))
5.4b	(* (* c j) a)
5.5b	(* b (- (* c z) (* t i)))
5.6b	(* i (* j (neg y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`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:

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* (* c j) a)
18.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* i (* j (neg y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5042	787

prune87.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	93	12	105

Merged error: 0.8b

Counts

105 → 12

regimes1.6s

Accuracy

27.6% (8.3b remaining)

Error of 9.4b against oracle of 1.1b and baseline of 12.6b

bsearch98.0ms

Steps

Iters	Range		Point
7	1.8610377352208273e+63	6.557856934797617e+64	2.419900472875752e+63
7	-6.087904390528053e-134	-2.7520028371924295e-135	-3.6247697702991186e-134

simplify27.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	1009	73
1	1009	73

end0.0ms

sample2.5s

Algorithm

intervals

Results

883.0ms	11044×	body	80	invalid
661.0ms	8000×	body	80	valid

Details

analyze2.0s

sample92.0ms

simplify307.0ms

prune12.0ms

localize23.0ms

rewrite23.0ms

series67.0ms

simplify44.0ms

prune234.0ms

localize21.0ms

rewrite24.0ms

series50.0ms

simplify33.0ms

prune185.0ms

localize31.0ms

rewrite30.0ms

series57.0ms

simplify39.0ms

prune156.0ms

localize25.0ms

rewrite23.0ms

series52.0ms

simplify45.0ms

prune87.0ms

regimes1.6s

bsearch98.0ms

simplify27.0ms

end0.0ms

sample2.5s

Profiling