Details

analyze1.9s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample39.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
2.0ms	29×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4914	37
1	4914	37

prune15.0ms

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: 28.4b

Counts

2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
0.1b	(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.6b	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-l`
5×	`flip3-+` `associate-*r/` `flip-+`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
7.0ms	(* z (+ (* z 3.13060547623) 11.1667541262))
27.0ms	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.0ms	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series205.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
6.0ms	(* z (+ (* z 3.13060547623) 11.1667541262))
139.0ms	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
54.0ms	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify57.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5096	3335

prune316.0ms

Filtered

90 candidates to 121 candidates (-34.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 0.3b

Counts

123 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
0.0b	(- (/ t z) 36.527041698806414)
0.0b	(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
1.2b	(* (/ y z) (- (/ t z) 36.527041698806414))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
7.0ms	(- (/ t z) 36.527041698806414)
7.0ms	(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
13.0ms	(* (/ y z) (- (/ t z) 36.527041698806414))

series45.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
3.0ms	(- (/ t z) 36.527041698806414)
21.0ms	(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
10.0ms	(* (/ y z) (- (/ t z) 36.527041698806414))

simplify30.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5157	1230

prune152.0ms

Filtered

71 candidates to 94 candidates (-32.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	91	10	101

Merged error: 0.2b

Counts

101 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ t (* z z)) 3.13060547623)
0.0b	(+ x (* y (+ (/ t (* z z)) 3.13060547623)))
3.1b	(* y (+ (/ t (* z z)) 3.13060547623))
7.4b	(/ t (* z z))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ (/ t (* z z)) 3.13060547623)
4.0ms	(+ x (* y (+ (/ t (* z z)) 3.13060547623)))
9.0ms	(* y (+ (/ t (* z z)) 3.13060547623))
232.0ms	(/ t (* z z))

series40.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (/ t (* z z)) 3.13060547623)
16.0ms	(+ x (* y (+ (/ t (* z z)) 3.13060547623)))
13.0ms	(* y (+ (/ t (* z z)) 3.13060547623))
5.0ms	(/ t (* z z))

simplify36.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4960	790
1	4960	790

prune118.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	82	9	91

Merged error: 0.2b

Counts

91 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (/ y z) (- (/ t z) 36.527041698806414))
13.2b	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
13.2b	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
13.2b	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-div`
30×	`frac-add`
25×	`add-sqr-sqrt`
18×	`flip3-+` `flip-+`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`frac-times` `flip3--` `associate-*r/` `flip--`
13×	`associate-l`
11×	`times-frac`
9×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`associate-*l/`
6×	`pow1` `associate-r`
4×	`add-log-exp`
3×	`pow1/3`
2×	`sub-neg` `prod-exp` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--`

Counts

4 → 110

Calls

4 calls:

13.0ms	(* (/ y z) (- (/ t z) 36.527041698806414))
14.0ms	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
14.0ms	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
14.0ms	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ y z) (- (/ t z) 36.527041698806414))
82.0ms	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
82.0ms	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))
84.0ms	(cbrt (+ (* (/ y z) (- (/ t z) 36.527041698806414)) (+ x (* y 3.13060547623))))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5031	3567

prune384.0ms

Filtered

107 candidates to 122 candidates (-14.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	121	10	131

Merged error: 0.2b

Counts

131 → 10

regimes1.2s

Accuracy

97.3% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 26.3b

bsearch63.0ms

Steps

Iters	Range		Point
9	5.864969304347592e+51	1.1069667557422603e+61	5.664527515947303e+53
9	-1.4536110024639738e+69	-1.5639011435241135e+61	-1.663893492461153e+65

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	59
1	68	59

end0.0ms

sample1.1s

Algorithm

intervals

Results

667.0ms	8000×	body	80	valid
86.0ms	972×	body	80	invalid

Details

analyze1.9s

sample39.0ms

simplify62.0ms

prune15.0ms

localize28.0ms

rewrite74.0ms

series205.0ms

simplify57.0ms

prune316.0ms

localize12.0ms

rewrite34.0ms

series45.0ms

simplify30.0ms

prune152.0ms

localize8.0ms

rewrite254.0ms

series40.0ms

simplify36.0ms

prune118.0ms

localize19.0ms

rewrite59.0ms

series258.0ms

simplify46.0ms

prune384.0ms

regimes1.2s

bsearch63.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling