Details

analyze873.0ms (11.4%)

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify479.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (305.0ms)

Iter	Nodes	Cost
0	5014	16

prune4.0ms (0.1%)

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: 1.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
7.3b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_6579`
12×	`flip--_binary64_6532` `*-un-lft-identity_binary64_6557` `flip3--_binary64_6561`
9×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
8×	`add-cube-cbrt_binary64_6592` `frac-times_binary64_6567` `associate-/r/_binary64_6503`
6×	`cancel-sign-sub-inv_binary64_6523`
5×	`associate-r_binary64_6497` `associate-l_binary64_6498`
4×	`distribute-lft-in_binary64_6506` `associate-l/_binary64_6500` `associate-r/_binary64_6499` `pow1_binary64_6618` `distribute-rgt-in_binary64_6507`
3×	`times-frac_binary64_6563` `associate-/l*_binary64_6502`
2×	`div-exp_binary64_6608` `sub-neg_binary64_6550` `difference-of-squares_binary64_6526` `prod-exp_binary64_6606` `distribute-lft-out--_binary64_6509` `cbrt-undiv_binary64_6591` `add-log-exp_binary64_6596` `cbrt-unprod_binary64_6590`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `associate-/r_binary64_6501` `unswap-sqr_binary64_6525` `div-inv_binary64_6554` `clear-num_binary64_6556` `frac-2neg_binary64_6568`

Counts

2 → 67

Calls

2 calls:

21.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
19.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series237.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

170.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
67.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4991	1174
1	4991	1174

prune121.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

Compiler

Compiled 1359 to 473 computations (65.2% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite85.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64_6579`
42×	`times-frac_binary64_6563`
40×	`*-un-lft-identity_binary64_6557`
36×	`associate-r_binary64_6497`
26×	`add-cube-cbrt_binary64_6592` `cbrt-prod_binary64_6588`
25×	`add-exp-log_binary64_6595`
18×	`add-cbrt-cube_binary64_6593`
11×	`associate-l_binary64_6498`
8×	`prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
7×	`div-exp_binary64_6608` `difference-of-squares_binary64_6526` `distribute-lft-out--_binary64_6509` `cbrt-undiv_binary64_6591`
6×	`pow1_binary64_6618` `unswap-sqr_binary64_6525`
4×	`add-log-exp_binary64_6596` `associate-/r/_binary64_6503`
3×	`pow1/3_binary64_6639`
2×	`flip--_binary64_6532` `div-inv_binary64_6554` `flip3--_binary64_6561`
1×	`-commutative_binary64_6488` `associate-l/_binary64_6500` `pow-prod-down_binary64_6628` `associate-*r/_binary64_6499` `frac-times_binary64_6567`

Counts

4 → 110

Calls

4 calls:

54.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series716.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

230.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))
176.0ms	(cbrt.f64 x)
157.0ms	(cbrt.f64 x)
153.0ms	(cbrt.f64 x)

simplify120.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4962	1939
1	4962	1939

prune205.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

Compiler

Compiled 2678 to 860 computations (67.9% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
2.1b	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64_6563`
176×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
88×	`add-cube-cbrt_binary64_6592`
44×	`difference-of-squares_binary64_6526` `distribute-lft-out--_binary64_6509`
24×	`associate-/l*_binary64_6502`
16×	`associate-/r/_binary64_6503`
10×	`associate-/r*_binary64_6501`
9×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
8×	`flip--_binary64_6532` `div-inv_binary64_6554` `flip3--_binary64_6561`
4×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591`
2×	`pow1_binary64_6618` `clear-num_binary64_6556` `add-log-exp_binary64_6596` `frac-2neg_binary64_6568`
1×	`associate-/l/_binary64_6504`

Counts

2 → 185

Calls

2 calls:

26.0ms	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
11.0ms	(/.f64 x (-.f64 y t))

series219.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

161.0ms	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
58.0ms	(/.f64 x (-.f64 y t))

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4998	4775
1	4998	4775

prune279.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	193	3	196

Merged error: 0b

Counts

196 → 3

Compiler

Compiled 4116 to 969 computations (76.5% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 y t) x)
0.5b	(/.f64 1 (/.f64 (-.f64 y t) x))
2.1b	(/.f64 (/.f64 1 (/.f64 (-.f64 y t) x)) (-.f64 y z))

rewrite252.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

1054×	`times-frac_binary64_6563`
680×	`add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
414×	`add-cube-cbrt_binary64_6592`
133×	`difference-of-squares_binary64_6526` `distribute-lft-out--_binary64_6509`
70×	`associate-/l*_binary64_6502`
35×	`add-exp-log_binary64_6595`
31×	`div-inv_binary64_6554`
27×	`associate-/r*_binary64_6501`
22×	`div-exp_binary64_6608`
19×	`add-cbrt-cube_binary64_6593`
10×	`cbrt-undiv_binary64_6591`
9×	`associate-/r/_binary64_6503`
4×	`pow1_binary64_6618` `rec-exp_binary64_6607` `1-exp_binary64_6601`
3×	`clear-num_binary64_6556` `add-log-exp_binary64_6596` `frac-2neg_binary64_6568` `associate-/l/_binary64_6504`
2×	`flip--_binary64_6532` `flip3--_binary64_6561`
1×	`div-sub_binary64_6562` `inv-pow_binary64_6642` `pow-flip_binary64_6631`

Counts

3 → 538

Calls

3 calls:

54.0ms	(/.f64 (/.f64 1 (/.f64 (-.f64 y t) x)) (-.f64 y z))
19.0ms	(/.f64 1 (/.f64 (-.f64 y t) x))
12.0ms	(/.f64 (-.f64 y t) x)

series436.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

287.0ms	(/.f64 (/.f64 1 (/.f64 (-.f64 y t) x)) (-.f64 y z))
102.0ms	(/.f64 1 (/.f64 (-.f64 y t) x))
47.0ms	(/.f64 (-.f64 y t) x)

simplify326.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

547 → 547

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5046	15703

prune969.0ms (12.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	547	0	547
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	547	3	550

Merged error: 0b

Counts

550 → 3

Compiler

Compiled 13273 to 3899 computations (70.6% saved)

regimes367.0ms (4.8%)

Compiler: Compiled 1449 to 1281 computations (11.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	73	28
1	73	28

end0.0ms (0%)

sample1.4s (18.8%)

Algorithm

1×

intervals

Results

552.0ms	8000×	body	128	valid
27.0ms	413×	body	128	invalid

Compiler

Compiled 202 to 176 computations (12.9% saved)

Details

analyze873.0ms (11.4%)

sample35.0ms (0.5%)

simplify479.0ms (6.3%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite52.0ms (0.7%)

series237.0ms (3.1%)

simplify118.0ms (1.5%)

prune121.0ms (1.6%)

localize24.0ms (0.3%)

rewrite85.0ms (1.1%)

series716.0ms (9.4%)

simplify120.0ms (1.6%)

prune205.0ms (2.7%)

localize16.0ms (0.2%)

rewrite78.0ms (1%)

series219.0ms (2.9%)

simplify158.0ms (2.1%)

prune279.0ms (3.7%)

localize19.0ms (0.2%)

rewrite252.0ms (3.3%)

series436.0ms (5.7%)

simplify326.0ms (4.3%)

prune969.0ms (12.7%)

regimes367.0ms (4.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (18.8%)

Profiling