Details

analyze958.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (190.0ms)

Iter	Nodes	Cost
0	5600	11

prune12.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.4b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
7.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune120.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.4b	(* y (/ (- z t) (- a t)))
5.8b	(cbrt (* y (/ (- z t) (- a t))))
5.8b	(cbrt (* y (/ (- z t) (- a t))))
5.8b	(cbrt (* y (/ (- z t) (- a t))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

13.0ms	(* y (/ (- z t) (- a t)))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))
11.0ms	(cbrt (* y (/ (- z t) (- a t))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* y (/ (- z t) (- a t)))
54.0ms	(cbrt (* y (/ (- z t) (- a t))))
52.0ms	(cbrt (* y (/ (- z t) (- a t))))
55.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify34.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5071	935

prune100.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
8.4b	(/ (* y (- z t)) (- a t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- a t)))
6.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) (- a t))

series51.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* y (- z t)) (- a t)))
9.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- a t))

simplify39.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5392	699

prune71.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

3.3b	(- (* a a) (* t t))
3.3b	(* y (/ (- z t) (- (* a a) (* t t))))
14.7b	(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
18.7b	(/ (- z t) (- (* a a) (* t t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`times-frac`
30×	`associate-r`
27×	`add-cube-cbrt`
21×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`distribute-lft-out--`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
5×	`associate-/l*`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r*` `associate-/r/` `flip--`
3×	`cbrt-undiv` `div-exp`
2×	`frac-times` `flip3-+` `*-commutative` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

4 → 131

Calls

4 calls:

4.0ms	(- (* a a) (* t t))
13.0ms	(* y (/ (- z t) (- (* a a) (* t t))))
16.0ms	(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
8.0ms	(/ (- z t) (- (* a a) (* t t)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* a a) (* t t))
32.0ms	(* y (/ (- z t) (- (* a a) (* t t))))
38.0ms	(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
16.0ms	(/ (- z t) (- (* a a) (* t t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	2098
1	4967	2098

prune115.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	143	5	148

Merged error: 0b

Counts

148 → 5

regimes497.0ms

Accuracy

71.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch34.0ms

Steps

Iters	Range		Point
8	2.595093299995779e-55	6.38705824379832e-52	6.017694748396223e-52
8	-1.790650738991841e-53	-6.925582603879058e-57	-3.712470684381313e-56

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	31
1	38	31

end0.0ms

sample600.0ms

Algorithm

intervals

Results

294.0ms	7999×	body	80	valid
27.0ms	699×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze958.0ms

sample28.0ms

simplify192.0ms

prune12.0ms

localize8.0ms

rewrite28.0ms

series54.0ms

simplify41.0ms

prune120.0ms

localize13.0ms

rewrite43.0ms

series178.0ms

simplify34.0ms

prune100.0ms

localize8.0ms

rewrite23.0ms

series51.0ms

simplify39.0ms

prune71.0ms

localize12.0ms

rewrite46.0ms

series92.0ms

simplify64.0ms

prune115.0ms

regimes497.0ms

bsearch34.0ms

simplify1.0ms

end0.0ms

sample600.0ms

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