Details

analyze1.4s (28.8%)

Algorithm

1×

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
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5284	21

prune9.0ms (0.2%)

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: 28.2b

Counts

2 → 1

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
3.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.4b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
6.0ms	(* (+ x y) z)

series194.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
6.0ms	(* (+ x y) z)

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5223	2056

prune185.0ms (3.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Merged error: 9.2b

Counts

102 → 11

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.6b	(+ (* (+ x y) z) (* (+ y t) a))
11.8b	(/ (* y b) (+ x (+ y t)))
23.1b	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

13.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
8.0ms	(+ (* (+ x y) z) (* (+ y t) a))
8.0ms	(/ (* y b) (+ x (+ y t)))
6.0ms	(* (+ x y) z)

series103.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
18.0ms	(+ (* (+ x y) z) (* (+ y t) a))
17.0ms	(/ (* y b) (+ x (+ y t)))
6.0ms	(* (+ x y) z)

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5031	1882

prune190.0ms (3.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	116	13	129

Merged error: 5.5b

Counts

129 → 13

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (+ y t)) b)
1.6b	(+ (* (+ x y) z) (* (+ y t) a))
7.8b	(/ y (/ (+ x (+ y t)) b))
23.1b	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
16×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`frac-add` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `sum-log`

Counts

4 → 189

Calls

4 calls:

13.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
11.0ms	(/ y (/ (+ x (+ y t)) b))
7.0ms	(+ (* (+ x y) z) (* (+ y t) a))
7.0ms	(/ (+ x (+ y t)) b)

series114.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
28.0ms	(/ y (/ (+ x (+ y t)) b))
16.0ms	(+ (* (+ x y) z) (* (+ y t) a))
7.0ms	(/ (+ x (+ y t)) b)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5017	3364

prune259.0ms (5.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	201	13	214

Merged error: 2.7b

Counts

214 → 13

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x (+ y t)))
1.6b	(+ (* (+ x y) z) (* (+ y t) a))
4.7b	(* (/ y (+ x (+ y t))) b)
23.1b	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-l`
17×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 135

Calls

4 calls:

13.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
10.0ms	(* (/ y (+ x (+ y t))) b)
10.0ms	(+ (* (+ x y) z) (* (+ y t) a))
7.0ms	(/ y (+ x (+ y t)))

series119.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
31.0ms	(* (/ y (+ x (+ y t))) b)
16.0ms	(+ (* (+ x y) z) (* (+ y t) a))
11.0ms	(/ y (+ x (+ y t)))

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4980	2273
1	4980	2273

prune151.0ms (3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	147	13	160

Merged error: 2.7b

Counts

160 → 13

regimes905.0ms (18.3%)

Accuracy

Total 18.5b remaining (86.6%)

Threshold costs 0b (0%)

bsearch75.0ms (1.5%)

Steps

Iters	Range		Point
10	1.9677419490287825e+137	1.571460699537419e+150	5.663926007528674e+142
5	2.082517603848695e-236	6.428514711089506e-236	2.4212981744305287e-236
5	-3.7504915253632045e+51	-1.3690176932697145e+51	-1.4522351045742406e+51
9	-1.550687138605755e+157	-1.2221275380070114e+148	-5.154331974388478e+155

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	103
1	83	103

end0.0ms (0%)

sample716.0ms (14.4%)

Algorithm

1×

intervals

Results

448.0ms	7994×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

Details

analyze1.4s (28.8%)

sample28.0ms (0.6%)

simplify66.0ms (1.3%)

prune9.0ms (0.2%)

localize18.0ms (0.4%)

rewrite40.0ms (0.8%)

series194.0ms (3.9%)

simplify46.0ms (0.9%)

prune185.0ms (3.7%)

localize14.0ms (0.3%)

rewrite38.0ms (0.8%)

series103.0ms (2.1%)

simplify32.0ms (0.6%)

prune190.0ms (3.8%)

localize14.0ms (0.3%)

rewrite48.0ms (1%)

series114.0ms (2.3%)

simplify56.0ms (1.1%)

prune259.0ms (5.2%)

localize14.0ms (0.3%)

rewrite45.0ms (0.9%)

series119.0ms (2.4%)

simplify47.0ms (0.9%)

prune151.0ms (3%)

regimes905.0ms (18.3%)

bsearch75.0ms (1.5%)

simplify2.0ms (0%)

end0.0ms (0%)

sample716.0ms (14.4%)

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