Details

analyze903.0ms (15.4%)

Algorithm

1×

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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	77×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify217.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	680	13
1	680	13

prune2.0ms (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: 5.3b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
5.7b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_12141` `*-un-lft-identity_binary64_12119`
10×	`add-exp-log_binary64_12157` `add-cbrt-cube_binary64_12155`
9×	`add-cube-cbrt_binary64_12154`
6×	`cancel-sign-sub-inv_binary64_12085`
5×	`associate-r_binary64_12059` `add-log-exp_binary64_12158` `pow1_binary64_12180`
4×	`distribute-rgt-in_binary64_12069` `distribute-lft-in_binary64_12068` `associate-*r/_binary64_12061`
3×	`associate-l_binary64_12060` `times-frac_binary64_12125` `associate-/r*_binary64_12063`
2×	`cbrt-undiv_binary64_12153` `sub-neg_binary64_12112` `div-exp_binary64_12170` `flip3--_binary64_12123` `prod-exp_binary64_12168` `flip--_binary64_12094` `cbrt-unprod_binary64_12152` `associate-/l/_binary64_12066`
1×	`flip-+_binary64_12093` `difference-of-squares_binary64_12088` `pow-prod-down_binary64_12190` `+-commutative_binary64_12049` `distribute-lft-out--_binary64_12071` `distribute-lft-out_binary64_12070` `clear-num_binary64_12118` `unswap-sqr_binary64_12087` `frac-2neg_binary64_12130` `sum-log_binary64_12210` `div-inv_binary64_12116` `flip3-+_binary64_12122` `-commutative_binary64_12050` `associate-/l_binary64_12064`

Counts

3 → 65

Calls

3 calls:

10.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
9.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
8.0ms	(*.f64 y (-.f64 z t))

series298.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

115.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
114.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
69.0ms	(*.f64 y (-.f64 z t))

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4964	909
1	4964	909

prune154.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

Compiler

Compiled 2698 to 1472 computations (45.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
5.9b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_12141`
40×	`times-frac_binary64_12125`
38×	`*-un-lft-identity_binary64_12119`
34×	`associate-r_binary64_12059`
26×	`cbrt-prod_binary64_12150` `add-cube-cbrt_binary64_12154`
25×	`add-exp-log_binary64_12157`
18×	`add-cbrt-cube_binary64_12155`
8×	`prod-exp_binary64_12168` `cbrt-unprod_binary64_12152`
7×	`associate-l_binary64_12060` `cbrt-undiv_binary64_12153` `div-exp_binary64_12170`
6×	`difference-of-squares_binary64_12088` `distribute-lft-out--_binary64_12071` `unswap-sqr_binary64_12087` `pow1_binary64_12180`
4×	`add-log-exp_binary64_12158`
3×	`pow1/3_binary64_12201`
2×	`div-inv_binary64_12116`
1×	`pow-prod-down_binary64_12190` `associate-l/_binary64_12062` `frac-times_binary64_12129` `associate-r/_binary64_12061` `*-commutative_binary64_12050`

Counts

4 → 104

Calls

4 calls:

28.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series720.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
172.0ms	(cbrt.f64 a)
156.0ms	(cbrt.f64 a)
149.0ms	(cbrt.f64 a)

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4944	1665
1	4944	1665

prune125.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0b

Counts

122 → 8

Compiler

Compiled 2805 to 1013 computations (63.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.8b	(*.f64 (/.f64 (-.f64 z t) (cbrt.f64 a)) (/.f64 (cbrt.f64 y) (cbrt.f64 a)))
1.2b	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 a)) (*.f64 (/.f64 (-.f64 z t) (cbrt.f64 a)) (/.f64 (cbrt.f64 y) (cbrt.f64 a))))

rewrite102.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

115×	`add-sqr-sqrt_binary64_12141`
94×	`times-frac_binary64_12125`
85×	`add-exp-log_binary64_12157`
77×	`cbrt-prod_binary64_12150`
63×	`*-un-lft-identity_binary64_12119`
51×	`add-cube-cbrt_binary64_12154`
44×	`associate-l_binary64_12060`
41×	`associate-r_binary64_12059` `add-cbrt-cube_binary64_12155`
36×	`prod-exp_binary64_12168` `cbrt-unprod_binary64_12152`
26×	`cbrt-undiv_binary64_12153` `div-exp_binary64_12170`
15×	`unswap-sqr_binary64_12087`
11×	`pow1_binary64_12180`
6×	`difference-of-squares_binary64_12088` `distribute-lft-out--_binary64_12071` `frac-times_binary64_12129` `associate-*r/_binary64_12061`
4×	`pow-prod-down_binary64_12190` `add-log-exp_binary64_12158` `associate-*l/_binary64_12062`
3×	`div-inv_binary64_12116`
2×	`pow1/3_binary64_12201` `*-commutative_binary64_12050`

Counts

4 → 189

Calls

4 calls:

40.0ms	(*.f64 (/.f64 (-.f64 z t) (cbrt.f64 a)) (/.f64 (cbrt.f64 y) (cbrt.f64 a)))
26.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 a)) (*.f64 (/.f64 (-.f64 z t) (cbrt.f64 a)) (/.f64 (cbrt.f64 y) (cbrt.f64 a))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series727.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

267.0ms	(*.f64 (/.f64 (-.f64 z t) (cbrt.f64 a)) (/.f64 (cbrt.f64 y) (cbrt.f64 a)))
169.0ms	(cbrt.f64 y)
156.0ms	(cbrt.f64 y)
133.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 a)) (*.f64 (/.f64 (-.f64 z t) (cbrt.f64 a)) (/.f64 (cbrt.f64 y) (cbrt.f64 a))))

simplify116.0ms (2%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4970	4428
1	4970	4428

prune185.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	201	8	209

Merged error: 0b

Counts

209 → 8

Compiler

Compiled 5733 to 1028 computations (82.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
5.9b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (.f64 (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a)))))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_12157`
38×	`add-cbrt-cube_binary64_12155`
25×	`prod-exp_binary64_12168` `cbrt-unprod_binary64_12152`
17×	`cbrt-undiv_binary64_12153` `add-sqr-sqrt_binary64_12141` `div-exp_binary64_12170`
13×	`*-un-lft-identity_binary64_12119`
11×	`add-cube-cbrt_binary64_12154`
9×	`associate-r_binary64_12059` `cbrt-prod_binary64_12150` `times-frac_binary64_12125`
7×	`associate-l_binary64_12060`
6×	`pow1_binary64_12180`
4×	`add-log-exp_binary64_12158`
3×	`pow1/3_binary64_12201`
2×	`unswap-sqr_binary64_12087` `div-inv_binary64_12116`
1×	`difference-of-squares_binary64_12088` `pow-prod-down_binary64_12190` `distribute-lft-out--_binary64_12071` `associate-l/_binary64_12062` `frac-times_binary64_12129` `associate-r/_binary64_12061` `*-commutative_binary64_12050`

Counts

4 → 87

Calls

4 calls:

26.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (.f64 (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a)))))
2.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series719.0ms (12.2%)

Counts

4 → 12

Calls

4 calls:

241.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (.f64 (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a)))))
167.0ms	(cbrt.f64 a)
156.0ms	(cbrt.f64 a)
154.0ms	(cbrt.f64 a)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5000	1074

prune92.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	99	8	107

Merged error: 0b

Counts

107 → 8

Compiler

Compiled 2289 to 652 computations (71.5% saved)

regimes144.0ms (2.5%)

Compiler: Compiled 1160 to 860 computations (25.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	37
1	29	37

end0.0ms (0%)

sample953.0ms (16.2%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	128	valid
100.0ms	2530×	body	128	invalid

Compiler

Compiled 210 to 148 computations (29.5% saved)

Details

analyze903.0ms (15.4%)

sample31.0ms (0.5%)

simplify217.0ms (3.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite32.0ms (0.5%)

series298.0ms (5.1%)

simplify64.0ms (1.1%)

prune154.0ms (2.6%)

localize11.0ms (0.2%)

rewrite43.0ms (0.7%)

series720.0ms (12.3%)

simplify93.0ms (1.6%)

prune125.0ms (2.1%)

localize15.0ms (0.3%)

rewrite102.0ms (1.7%)

series727.0ms (12.4%)

simplify116.0ms (2%)

prune185.0ms (3.1%)

localize17.0ms (0.3%)

rewrite42.0ms (0.7%)

series719.0ms (12.2%)

simplify60.0ms (1%)

prune92.0ms (1.6%)

regimes144.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample953.0ms (16.2%)

Profiling