Details

analyze1.1s (14.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4844	143
1	4844	143
0	5	5
1	5	5

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)

sample30.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
7.0ms	71×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	719	13
1	719	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

Error

5.5b

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))
6.0b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_9648`
15×	`*-un-lft-identity_binary64_9626`
13×	`cancel-sign-sub-inv_binary64_9592`
11×	`add-cube-cbrt_binary64_9661`
10×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
6×	`times-frac_binary64_9632`
5×	`add-log-exp_binary64_9665` `pow1_binary64_9687` `associate-r_binary64_9566`
4×	`distribute-rgt-in_binary64_9576` `associate-*r/_binary64_9568` `distribute-lft-in_binary64_9575`
3×	`associate-l_binary64_9567` `flip3--_binary64_9630` `sub-neg_binary64_9619` `flip--_binary64_9601` `associate-/r*_binary64_9570`
2×	`div-exp_binary64_9677` `prod-exp_binary64_9675` `distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `associate-/l/_binary64_9573` `cbrt-undiv_binary64_9660` `div-inv_binary64_9623` `cbrt-unprod_binary64_9659`
1×	`diff-log_binary64_9718` `pow-prod-down_binary64_9697` `-commutative_binary64_9557` `unswap-sqr_binary64_9594` `associate-/l_binary64_9571` `frac-2neg_binary64_9637` `clear-num_binary64_9625`

Counts

3 → 73

Calls

3 calls:

7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
6.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series144.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
52.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
30.0ms	(*.f64 y (-.f64 z t))

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5210	1067

prune65.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Error

0.0b

Counts

83 → 5

Compiler

Compiled 1181 to 298 computations (74.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
0.8b	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
5.9b	(/.f64 a (*.f64 y (-.f64 z t)))

rewrite56.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`times-frac_binary64_9632`
55×	`add-sqr-sqrt_binary64_9648`
50×	`*-un-lft-identity_binary64_9626`
44×	`add-cube-cbrt_binary64_9661`
38×	`cancel-sign-sub-inv_binary64_9592`
32×	`add-exp-log_binary64_9664`
20×	`add-cbrt-cube_binary64_9662`
18×	`associate-/r/_binary64_9572` `associate-*r/_binary64_9568`
14×	`div-exp_binary64_9677`
11×	`div-inv_binary64_9623`
10×	`flip3--_binary64_9630` `flip--_binary64_9601` `associate-/r*_binary64_9570`
7×	`cbrt-undiv_binary64_9660` `pow1_binary64_9687`
6×	`add-log-exp_binary64_9665` `associate-/l*_binary64_9571`
5×	`prod-exp_binary64_9675` `associate-r_binary64_9566`
4×	`distribute-rgt-in_binary64_9576` `difference-of-squares_binary64_9595` `distribute-lft-in_binary64_9575`
3×	`associate-l_binary64_9567` `1-exp_binary64_9670` `sub-neg_binary64_9619` `rec-exp_binary64_9676` `distribute-lft-out--_binary64_9578` `cbrt-unprod_binary64_9659`
2×	`frac-2neg_binary64_9637` `clear-num_binary64_9625`
1×	`diff-log_binary64_9718` `inv-pow_binary64_9711` `pow-prod-down_binary64_9697` `pow-flip_binary64_9700` `*-commutative_binary64_9557` `unswap-sqr_binary64_9594`

Counts

4 → 165

Calls

4 calls:

18.0ms	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
9.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
7.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 a (*.f64 y (-.f64 z t)))

series192.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
57.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
46.0ms	(/.f64 a (*.f64 y (-.f64 z t)))
29.0ms	(*.f64 y (-.f64 z t))

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5014	2805

prune123.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	177	5	182

Error

0.0b

Counts

182 → 5

Compiler

Compiled 2837 to 829 computations (70.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
0.8b	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
4.9b	(/.f64 (/.f64 a y) (-.f64 z t))

rewrite229.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

1327×	`times-frac_binary64_9632`
779×	`add-sqr-sqrt_binary64_9648`
762×	`*-un-lft-identity_binary64_9626`
546×	`add-cube-cbrt_binary64_9661`
218×	`cancel-sign-sub-inv_binary64_9592`
112×	`difference-of-squares_binary64_9595`
107×	`distribute-lft-out--_binary64_9578`
76×	`associate-/r*_binary64_9570`
52×	`div-inv_binary64_9623`
29×	`add-exp-log_binary64_9664`
18×	`div-exp_binary64_9677` `associate-/r/_binary64_9572`
17×	`add-cbrt-cube_binary64_9662`
16×	`associate-/l*_binary64_9571`
9×	`flip3--_binary64_9630` `flip--_binary64_9601` `cbrt-undiv_binary64_9660`
5×	`add-log-exp_binary64_9665`
4×	`pow1_binary64_9687`
3×	`1-exp_binary64_9670` `rec-exp_binary64_9676`
2×	`frac-2neg_binary64_9637` `clear-num_binary64_9625`
1×	`sub-neg_binary64_9619` `diff-log_binary64_9718` `inv-pow_binary64_9711` `pow-flip_binary64_9700` `associate-/l/_binary64_9573`

Counts

3 → 650

Calls

3 calls:

92.0ms	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
20.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
12.0ms	(/.f64 (/.f64 a y) (-.f64 z t))

series166.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
57.0ms	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
52.0ms	(/.f64 (/.f64 a y) (-.f64 z t))

simplify233.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

659 → 659

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5564	19687

prune638.0ms (8.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	657	2	659
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	658	6	664

Error

Counts

664 → 6

Compiler

Compiled 15307 to 4201 computations (72.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.1b	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (/.f64 (/.f64 a (cbrt.f64 y)) (cbrt.f64 (-.f64 z t)))))
1.9b	(/.f64 (/.f64 a (cbrt.f64 y)) (cbrt.f64 (-.f64 z t)))

rewrite397.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Rules

1844×	`times-frac_binary64_9632`
977×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
799×	`add-cube-cbrt_binary64_9661`
748×	`cbrt-prod_binary64_9657`
551×	`associate-r_binary64_9566`
249×	`add-exp-log_binary64_9664`
130×	`prod-exp_binary64_9675`
89×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`
78×	`div-exp_binary64_9677`
61×	`add-cbrt-cube_binary64_9662`
52×	`cbrt-unprod_binary64_9659`
38×	`div-inv_binary64_9623`
33×	`cbrt-undiv_binary64_9660`
32×	`cbrt-div_binary64_9658`
28×	`associate-*l/_binary64_9569`
22×	`pow1_binary64_9687` `associate-/l*_binary64_9571`
16×	`flip3--_binary64_9630` `frac-times_binary64_9636` `flip--_binary64_9601`
15×	`1-exp_binary64_9670` `rec-exp_binary64_9676`
13×	`pow-prod-down_binary64_9697`
9×	`associate-/r/_binary64_9572`
8×	`associate-/r*_binary64_9570`
5×	`associate-*r/_binary64_9568`
4×	`add-log-exp_binary64_9665`
2×	`pow1/3_binary64_9708`
1×	`associate-l_binary64_9567` `un-div-inv_binary64_9624` `*-commutative_binary64_9557` `associate-/l/_binary64_9573` `frac-2neg_binary64_9637` `clear-num_binary64_9625`

Counts

4 → 898

Calls

4 calls:

151.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (/.f64 (/.f64 a (cbrt.f64 y)) (cbrt.f64 (-.f64 z t)))))
14.0ms	(/.f64 (/.f64 a (cbrt.f64 y)) (cbrt.f64 (-.f64 z t)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series422.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(/.f64 (/.f64 a (cbrt.f64 y)) (cbrt.f64 (-.f64 z t)))
111.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (/.f64 (/.f64 a (cbrt.f64 y)) (cbrt.f64 (-.f64 z t)))))
89.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)

simplify414.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

910 → 910

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4976	35710
1	4976	35710

prune1.4s (18.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	910	0	910
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	910	6	916

Error

Counts

916 → 6

Compiler

Compiled 37578 to 9721 computations (74.1% saved)

regimes460.0ms (6.1%)

Accuracy

Total 2.6b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 4865 to 3770 computations (22.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	82	19
1	82	19

end0.0ms (0%)

sample1.2s (16.2%)

Algorithm

1×

intervals

Results

284.0ms	8000×	body	128	valid
97.0ms	2567×	body	128	invalid

Compiler

Compiled 568 to 437 computations (23.1% saved)

Details

analyze1.1s (14.3%)

sample30.0ms (0.4%)

simplify54.0ms (0.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite25.0ms (0.3%)

series144.0ms (1.9%)

simplify39.0ms (0.5%)

prune65.0ms (0.9%)

localize8.0ms (0.1%)

rewrite56.0ms (0.7%)

series192.0ms (2.6%)

simplify80.0ms (1.1%)

prune123.0ms (1.6%)

localize8.0ms (0.1%)

rewrite229.0ms (3.1%)

series166.0ms (2.2%)

simplify233.0ms (3.1%)

prune638.0ms (8.5%)

localize16.0ms (0.2%)

rewrite397.0ms (5.3%)

series422.0ms (5.6%)

simplify414.0ms (5.5%)

prune1.4s (18.6%)

regimes460.0ms (6.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.2s (16.2%)

Profiling