Details

analyze1.9s (17.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample207.0ms (1.9%)

Algorithm

1×

intervals

Results

46.0ms	67×	body	5120	valid
34.0ms	54×	body	2560	valid
33.0ms	381×	body	80	nan
17.0ms	23×	body	5120	exit
12.0ms	136×	body	80	invalid
9.0ms	19×	body	1280	valid
8.0ms	91×	body	80	valid
7.0ms	17×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	1×	body	5120	invalid
1.0ms	4×	body	640	invalid
0.0ms	1×	body	2560	invalid
0.0ms	1×	body	320	invalid
0.0ms	2×	body	160	valid
0.0ms	1×	body	160	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5515	63

prune12.0ms (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: 58.7b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.1b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite97.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`cbrt-unprod_binary64` `prod-exp_binary64`
45×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`frac-add_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 143

Calls

4 calls:

45.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
16.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series418.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
111.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
34.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
34.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4956	4034
1	4956	4034

prune152.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	150	7	157

Merged error: 35.1b

Counts

157 → 7

Compiler

Compiled 8879 to 1824 computations (79.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

6.4b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
3×	`pow1_binary64` `associate-r_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `mul0-rgt_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

1 → 28

Calls

1 calls:

10.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series1.0ms (0%)

Counts

1 → 3

Calls

1 calls:

1.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5001	110

prune45.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Merged error: 33.4b

Counts

38 → 7

Compiler

Compiled 469 to 301 computations (35.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune20.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 33.4b

Counts

7 → 7

Compiler

Compiled 296 to 144 computations (51.4% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

12.6b	(sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))
14.0b	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
23.9b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite87.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`add-exp-log_binary64`
99×	`add-cbrt-cube_binary64`
97×	`prod-exp_binary64`
49×	`cbrt-unprod_binary64`
45×	`div-exp_binary64`
23×	`cbrt-undiv_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`pow-to-exp_binary64` `pow-exp_binary64`
11×	`*-un-lft-identity_binary64`
8×	`associate-/r*_binary64` `times-frac_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
2×	`distribute-lft-out--_binary64` `frac-sub_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 136

Calls

4 calls:

36.0ms	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
18.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
12.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series495.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
159.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))
34.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
32.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5013	5235

prune180.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	149	6	155

Merged error: 32.8b

Counts

155 → 6

Compiler

Compiled 8413 to 3066 computations (63.6% saved)

regimes560.0ms (5.2%)

Compiler: Compiled 1731 to 1239 computations (28.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample6.3s (57.7%)

Algorithm

1×

intervals

Results

1.3s	2340×	body	5120	valid
985.0ms	12636×	body	80	nan
802.0ms	1691×	body	2560	valid
384.0ms	626×	body	5120	exit
343.0ms	4319×	body	80	invalid
320.0ms	839×	body	1280	valid
194.0ms	2444×	body	80	valid
129.0ms	410×	body	640	valid
42.0ms	191×	body	320	valid
26.0ms	65×	body	1280	invalid
20.0ms	45×	body	2560	invalid
13.0ms	85×	body	160	valid
12.0ms	42×	body	640	invalid
5.0ms	24×	body	320	invalid
4.0ms	7×	body	5120	invalid
2.0ms	14×	body	160	invalid

Compiler

Compiled 243 to 160 computations (34.2% saved)

Details

analyze1.9s (17.3%)

sample207.0ms (1.9%)

simplify68.0ms (0.6%)

prune12.0ms (0.1%)

localize22.0ms (0.2%)

rewrite97.0ms (0.9%)

series418.0ms (3.8%)

simplify109.0ms (1%)

prune152.0ms (1.4%)

localize5.0ms (0%)

rewrite11.0ms (0.1%)

series1.0ms (0%)

simplify75.0ms (0.7%)

prune45.0ms (0.4%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify12.0ms (0.1%)

prune20.0ms (0.2%)

localize28.0ms (0.3%)

rewrite87.0ms (0.8%)

series495.0ms (4.6%)

simplify101.0ms (0.9%)

prune180.0ms (1.7%)

regimes560.0ms (5.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.3s (57.7%)

Profiling