Details

analyze907.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5061	112
0	4	4
1	4	4

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

Symmetry

(sort z t)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify197.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (191.0ms)

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

Error

0.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
8.6b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite100.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_5897`
12×	`*-un-lft-identity_binary64_5875` `flip3--_binary64_5879` `flip--_binary64_5850`
9×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
8×	`add-cube-cbrt_binary64_5910` `frac-times_binary64_5885` `associate-/r/_binary64_5821`
6×	`cancel-sign-sub-inv_binary64_5841`
5×	`associate-l_binary64_5816` `associate-r_binary64_5815`
4×	`pow1_binary64_5936` `associate-l/_binary64_5818` `associate-r/_binary64_5817` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824`
3×	`times-frac_binary64_5881` `associate-/l*_binary64_5820`
2×	`prod-exp_binary64_5924` `div-exp_binary64_5926` `add-log-exp_binary64_5914` `cbrt-undiv_binary64_5909` `cbrt-unprod_binary64_5908` `sub-neg_binary64_5868` `difference-of-squares_binary64_5844` `distribute-lft-out--_binary64_5827`
1×	`frac-2neg_binary64_5886` `clear-num_binary64_5874` `div-inv_binary64_5872` `associate-/r_binary64_5819` `pow-prod-down_binary64_5946` `unswap-sqr_binary64_5843` `-commutative_binary64_5806`

Counts

2 → 67

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

Compiler

Compiled 1382 to 448 computations (67.6% saved)

series1.1s (15.7%)

Error

0.5b

Counts

2 → 48

Calls

2 calls:

856.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
172.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

Compiler

Compiled 3805 to 2448 computations (35.7% saved)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4965	2968
1	4965	2968

prune139.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Error

Counts

116 → 3

Compiler

Compiled 2655 to 952 computations (64.1% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
1.2b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite212.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

210×	`times-frac_binary64_5881`
176×	`add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
88×	`add-cube-cbrt_binary64_5910`
44×	`difference-of-squares_binary64_5844` `distribute-lft-out--_binary64_5827`
24×	`associate-/l*_binary64_5820`
16×	`associate-/r/_binary64_5821`
10×	`associate-/r*_binary64_5819`
9×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
8×	`div-inv_binary64_5872` `flip3--_binary64_5879` `flip--_binary64_5850`
4×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909`
2×	`pow1_binary64_5936` `add-log-exp_binary64_5914` `frac-2neg_binary64_5886` `clear-num_binary64_5874`
1×	`associate-/l/_binary64_5822`

Counts

2 → 185

Calls

2 calls:

16.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
6.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 4318 to 1143 computations (73.5% saved)

series802.0ms (11.5%)

Error

Counts

2 → 48

Calls

2 calls:

587.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
118.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 3942 to 2548 computations (35.4% saved)

simplify145.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4975	6767
1	4975	6767

prune224.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	233	3	236

Error

Counts

236 → 3

Compiler

Compiled 5595 to 1524 computations (72.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.0b	(/.f64 1 (-.f64 y z))
1.8b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

rewrite203.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`add-sqr-sqrt_binary64_5897`
71×	`*-un-lft-identity_binary64_5875`
67×	`times-frac_binary64_5881`
41×	`add-cube-cbrt_binary64_5910`
31×	`add-exp-log_binary64_5913`
21×	`associate-l_binary64_5816` `associate-r_binary64_5815`
19×	`add-cbrt-cube_binary64_5911`
14×	`difference-of-squares_binary64_5844` `distribute-lft-out--_binary64_5827`
11×	`div-exp_binary64_5926`
10×	`associate-/r*_binary64_5819`
8×	`prod-exp_binary64_5924` `associate-/r/_binary64_5821`
6×	`pow1_binary64_5936` `cbrt-undiv_binary64_5909` `unswap-sqr_binary64_5843` `associate-/l*_binary64_5820`
4×	`cbrt-unprod_binary64_5908` `div-inv_binary64_5872` `flip3--_binary64_5879` `flip--_binary64_5850`
3×	`1-exp_binary64_5919` `rec-exp_binary64_5925` `add-log-exp_binary64_5914`
2×	`frac-2neg_binary64_5886` `clear-num_binary64_5874`
1×	`pow-prod-down_binary64_5946` `frac-times_binary64_5885` `associate-l/_binary64_5818` `associate-r/_binary64_5817` `*-commutative_binary64_5806` `inv-pow_binary64_5960` `pow-flip_binary64_5949`

Counts

3 → 150

Calls

3 calls:

22.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
6.0ms	(/.f64 x (-.f64 y t))
6.0ms	(/.f64 1 (-.f64 y z))

Compiler

Compiled 3238 to 1321 computations (59.2% saved)

series970.0ms (13.9%)

Error

Counts

3 → 69

Calls

3 calls:

620.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
153.0ms	(/.f64 x (-.f64 y t))
90.0ms	(/.f64 1 (-.f64 y z))

Compiler

Compiled 5019 to 3359 computations (33.1% saved)

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5168	4658

prune242.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	219	3	222

Error

Counts

222 → 3

Compiler

Compiled 4861 to 1841 computations (62.1% saved)

regimes327.0ms (4.7%)

Accuracy

Total 0.7b remaining (99.7%)

Threshold costs 0.7b (99.7%)

Compiler

Compiled 2784 to 2320 computations (16.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	28
1	73	28

Remove

(sort z t)

Compiler

Compiled 36 to 26 computations (27.8% saved)

end0.0ms (0%)

sample1.1s (16.1%)

Algorithm

1×

intervals

Results

331.0ms	8000×	body	128	valid
16.0ms	410×	body	128	invalid

Compiler

Compiled 389 to 328 computations (15.7% saved)

Details

analyze907.0ms (13%)

sample35.0ms (0.5%)

simplify197.0ms (2.8%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite100.0ms (1.4%)

series1.1s (15.7%)

simplify114.0ms (1.6%)

prune139.0ms (2%)

localize11.0ms (0.2%)

rewrite212.0ms (3%)

series802.0ms (11.5%)

simplify145.0ms (2.1%)

prune224.0ms (3.2%)

localize9.0ms (0.1%)

rewrite203.0ms (2.9%)

series970.0ms (13.9%)

simplify101.0ms (1.4%)

prune242.0ms (3.5%)

regimes327.0ms (4.7%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.1s (16.1%)

Profiling