Details

analyze1.1s (13.5%)

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
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	255×	body	128	valid
1.0ms	19×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify133.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1521×	`div-sub_binary64`
653×	`distribute-rgt-in_binary64`
513×	`distribute-lft-in_binary64`
427×	`times-frac_binary64`
338×	`sub-neg_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	23	19
2	44	19
3	83	19
4	154	19
5	264	19
6	565	19
7	1302	19
8	2510	19
9	2552	19
10	2685	19
11	2748	19
12	2813	19
13	2836	19
14	4302	19
15	5048	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.6b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.6b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.7b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite77.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`times-frac_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
2×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3--_binary64` `associate-*r/_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`

Counts

2 → 40

Calls

2 calls:

17.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
10.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

Compiler

Compiled 881 to 433 computations (50.9% saved)

series206.0ms (2.5%)

Error

0.0b

Counts

2 → 56

Calls

2 calls:

110.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
70.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

Compiler

Compiled 2645 to 1835 computations (30.6% saved)

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

445×	`associate-/l*_binary64`
378×	`times-frac_binary64`
376×	`div-sub_binary64`
329×	`distribute-rgt-in_binary64`
300×	`distribute-lft-in_binary64`

Counts

96 → 60

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1865
1	466	1763
2	1404	1694
3	4745	1694
4	5694	1694

prune42.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Error

0.0b

Counts

61 → 5

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
	29.6b	(/.f64 (-.f64 (.f64 3600 (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (/.f64 (-.f64 x y) (-.f64 z t)))) (.f64 a (.f64 14400 a))) (-.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
▶	0.1b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
	41.4b	(/.f64 (+.f64 (.f64 216000 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z t)) 3)) (pow.f64 (.f64 120 a) 3)) (+.f64 (.f64 a (.f64 14400 a)) (.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (-.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))))
	0.6b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))) (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))) (.f64 a 120))

Compiler

Compiled 950 to 481 computations (49.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.2b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite150.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`

Counts

3 → 113

Calls

3 calls:

14.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
11.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
8.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 2163 to 802 computations (62.9% saved)

series263.0ms (3.2%)

Error

0.0b

Counts

3 → 80

Calls

3 calls:

110.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
70.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
59.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 3742 to 2567 computations (31.4% saved)

simplify140.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

828×	`times-frac_binary64`
585×	`distribute-rgt-in_binary64`
540×	`distribute-lft-in_binary64`
199×	`cancel-sign-sub-inv_binary64`
142×	`sub-neg_binary64`

Counts

193 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	3565
1	634	3409
2	1843	3301
3	4820	3301
4	5840	3301

prune50.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	101	5	106

Error

0.0b

Counts

106 → 5

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
	29.6b	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) 3600)) (.f64 a (.f64 14400 a))) (-.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
▶	0.2b	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
✓	0.1b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
	0.6b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))) (cbrt.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))) (.f64 a 120))

Compiler

Compiled 1015 to 498 computations (50.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.0b	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
0.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
0.3b	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))

rewrite214.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

85×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
37×	`associate-l_binary64`
31×	`add-cube-cbrt_binary64`

Counts

4 → 142

Calls

4 calls:

15.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
14.0ms	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
14.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))
8.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 3170 to 1550 computations (51.1% saved)

series482.0ms (5.9%)

Error

0.0b

Counts

4 → 104

Calls

4 calls:

168.0ms	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
109.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))
87.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
63.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 6301 to 4753 computations (24.6% saved)

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

432×	`distribute-rgt-in_binary64`
400×	`distribute-lft-in_binary64`
376×	`times-frac_binary64`
294×	`cancel-sign-sub-inv_binary64`
172×	`sub-neg_binary64`

Counts

246 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	5438
1	847	4960
2	2281	4598
3	5198	4598

prune127.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	187	2	189
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	188	6	194

Error

0.0b

Counts

194 → 6

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
	0.2b	(+.f64 (.f64 (sqrt.f64 60) (.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (fabs.f64 (cbrt.f64 60))) (sqrt.f64 (cbrt.f64 60)))) (.f64 a 120))
	29.6b	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) 3600)) (.f64 a (.f64 14400 a))) (-.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
✓	0.2b	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
✓	0.1b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60))) (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60))))) (*.f64 a 120))

Compiler

Compiled 2402 to 1254 computations (47.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60)))
0.3b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60))) (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60)))))
0.3b	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60))))
1.0b	(*.f64 (cbrt.f64 60) (cbrt.f64 60))

rewrite293.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

72×	`add-sqr-sqrt_binary64`
49×	`*-un-lft-identity_binary64`
47×	`associate-l_binary64`
34×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`

Counts

4 → 149

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60))) (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60)))))
18.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60)))
15.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60))))
6.0ms	(*.f64 (cbrt.f64 60) (cbrt.f64 60))

Compiler

Compiled 4337 to 2907 computations (33% saved)

series477.0ms (5.9%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

158.0ms	(.f64 (sqrt.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60))) (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60)))))
140.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60))))
112.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 (cbrt.f64 60)))
0.0ms	(*.f64 (cbrt.f64 60) (cbrt.f64 60))

Compiler

Compiled 6589 to 5384 computations (18.3% saved)

simplify141.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac_binary64`
430×	`distribute-rgt-in_binary64`
297×	`associate-r_binary64`
275×	`associate-l_binary64`
260×	`cancel-sign-sub-inv_binary64`

Counts

221 → 182

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	5724
1	904	4796
2	2549	4486
3	5221	4486

prune154.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	1	2
Picked	1	0	1
Done	0	3	3
Total	183	5	188

Error

0.0b

Counts

188 → 5

Alt Table

Status	Error	Program
	0.6b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
	29.6b	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) 3600)) (.f64 a (.f64 14400 a))) (-.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
	0.2b	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
	0.1b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
	0.7b	(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 60) (-.f64 x y)) (pow.f64 (sqrt.f64 (cbrt.f64 60)) 3)) (-.f64 z t)) (*.f64 a 120))

Compiler

Compiled 2923 to 1907 computations (34.8% saved)

regimes2.9s (35.8%)

Accuracy

Total 0.1b remaining (81.2%)

Threshold costs 0.1b (81.2%)

Compiler

Compiled 47808 to 34403 computations (28% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`sub-neg_binary64` `*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	22	25
2	32	25
3	38	25
4	42	25
5	43	25
6	43	25

end1.0ms (0%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

sample867.0ms (10.6%)

Algorithm

1×

intervals

Results

335.0ms	7893×	body	128	valid
25.0ms	654×	body	128	invalid
7.0ms	40×	body	2048	valid
5.0ms	33×	body	1024	valid
2.0ms	19×	body	512	valid
1.0ms	14×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 171 to 117 computations (31.6% saved)

Details

analyze1.1s (13.5%)

sample25.0ms (0.3%)

simplify133.0ms (1.6%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite77.0ms (0.9%)

series206.0ms (2.5%)

simplify92.0ms (1.1%)

prune42.0ms (0.5%)

localize10.0ms (0.1%)

rewrite150.0ms (1.8%)

series263.0ms (3.2%)

simplify140.0ms (1.7%)

prune50.0ms (0.6%)

localize12.0ms (0.1%)

rewrite214.0ms (2.6%)

series482.0ms (5.9%)

simplify143.0ms (1.8%)

prune127.0ms (1.6%)

localize18.0ms (0.2%)

rewrite293.0ms (3.6%)

series477.0ms (5.9%)

simplify141.0ms (1.7%)

prune154.0ms (1.9%)

regimes2.9s (35.8%)

simplify4.0ms (0%)

end1.0ms (0%)

sample867.0ms (10.6%)

Profiling