Details

analyze257.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample38.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	92×	body	256	valid
8.0ms	279×	pre	128	true
8.0ms	164×	body	128	valid
1.0ms	23×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify236.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	927	24
1	927	24

prune8.0ms (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: 44.9b

Counts

2 → 2

Compiler

Compiled 82 to 67 computations (18.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
39.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_79`
10×	`add-log-exp_binary64_118`
9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
8×	`add-sqr-sqrt_binary64_101`
7×	`add-cube-cbrt_binary64_114`
6×	`distribute-lft-out_binary64_30`
5×	`times-frac_binary64_85` `associate-/l*_binary64_24` `pow1_binary64_140`
3×	`sqrt-prod_binary64_95` `distribute-rgt-neg-in_binary64_37`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `neg-sub0_binary64_74` `flip-+_binary64_53` `sum-log_binary64_170` `associate-+l-_binary64_14` `flip--_binary64_54` `sqrt-div_binary64_96` `flip3--_binary64_83` `associate-/l/_binary64_26` `flip3-+_binary64_82`
1×	`associate-/r*_binary64_23` `div-sub_binary64_84` `div-inv_binary64_76` `neg-log_binary64_172` `+-commutative_binary64_9` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `rem-sqrt-square_binary64_92` `sqrt-pow1_binary64_97` `diff-log_binary64_171` `clear-num_binary64_78` `pow1/2_binary64_159` `cancel-sign-sub-inv_binary64_45` `sub-neg_binary64_72` `frac-2neg_binary64_90`

Counts

4 → 70

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
9.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series528.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
136.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
114.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5290	1826

prune177.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	78	6	84

Merged error: 0.2b

Counts

84 → 6

Compiler

Compiled 3650 to 2359 computations (35.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (/.f64 (.f64 (.f64 4 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 2 a))
0.3b	(/.f64 (.f64 (.f64 4 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
34×	`times-frac_binary64_85`
32×	`add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
17×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
14×	`associate-/l*_binary64_24`
13×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128`
12×	`add-cube-cbrt_binary64_114`
10×	`distribute-lft-out--_binary64_31` `difference-of-squares_binary64_48` `add-log-exp_binary64_118`
8×	`sqrt-prod_binary64_95` `associate-/r*_binary64_23`
7×	`cancel-sign-sub-inv_binary64_45`
6×	`associate-/r/_binary64_25`
5×	`flip--_binary64_54` `distribute-rgt-neg-in_binary64_37` `flip3--_binary64_83`
4×	`div-inv_binary64_76` `pow1_binary64_140`
3×	`diff-log_binary64_171`
2×	`clear-num_binary64_78` `sub-neg_binary64_72` `frac-2neg_binary64_90`
1×	`associate--l-_binary64_17` `neg-sub0_binary64_74` `neg-log_binary64_172` `associate-/l/_binary64_26`

Counts

4 → 122

Calls

4 calls:

21.0ms	(/.f64 (/.f64 (.f64 (.f64 4 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 2 a))
15.0ms	(/.f64 (.f64 (.f64 4 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
10.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series936.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

419.0ms	(/.f64 (.f64 (.f64 4 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
324.0ms	(/.f64 (/.f64 (.f64 (.f64 4 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 2 a))
126.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4950	4144
1	4950	4144

prune531.0ms (7.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	7	134
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	132	8	140

Merged error: 0.0b

Counts

140 → 8

Compiler

Compiled 12164 to 8000 computations (34.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))))
0.1b	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
0.2b	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))) a)
0.2b	(.f64 (.f64 a 2) (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))) a))

rewrite121.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

330×	`times-frac_binary64_85`
249×	`add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
149×	`add-cube-cbrt_binary64_114`
85×	`associate-r_binary64_19`
50×	`distribute-lft-out--_binary64_31` `difference-of-squares_binary64_48`
32×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
30×	`associate-/l*_binary64_24`
25×	`sqrt-prod_binary64_95` `distribute-rgt-neg-in_binary64_37`
16×	`associate-/r/_binary64_25`
10×	`associate-/r*_binary64_23` `cbrt-undiv_binary64_113` `div-exp_binary64_130` `div-inv_binary64_76`
9×	`flip--_binary64_54` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `flip3--_binary64_83` `pow1_binary64_140`
6×	`add-log-exp_binary64_118`
3×	`pow-prod-down_binary64_150`
2×	`clear-num_binary64_78` `frac-2neg_binary64_90`
1×	`associate-l_binary64_20` `associate-r/_binary64_21` `-commutative_binary64_10` `diff-log_binary64_171` `cancel-sign-sub-inv_binary64_45` `associate-/l/_binary64_26` `sub-neg_binary64_72`

Counts

4 → 292

Calls

4 calls:

33.0ms	(.f64 (.f64 a 2) (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))) a))
18.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))) a)
12.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

series1.2s (16.2%)

Counts

4 → 12

Calls

4 calls:

475.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))) a)
345.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))))
325.0ms	(.f64 (.f64 a 2) (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))) a))
66.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

simplify146.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4967	11298
1	4967	11298

prune613.0ms (8.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	303	1	304
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	305	7	312

Merged error: 0b

Counts

312 → 7

Compiler

Compiled 13057 to 6931 computations (46.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
0.1b	(.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (*.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
0.4b	(/.f64 (.f64 (.f64 4 a) c) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (*.f64 a 2)))

rewrite63.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
21×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128`
15×	`add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
10×	`add-log-exp_binary64_118`
9×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `pow1_binary64_140`
7×	`associate-l_binary64_20` `add-cube-cbrt_binary64_114` `cancel-sign-sub-inv_binary64_45`
5×	`sqrt-prod_binary64_95`
4×	`distribute-lft-out--_binary64_31` `associate-*l/_binary64_22` `flip--_binary64_54` `difference-of-squares_binary64_48` `flip3--_binary64_83`
3×	`pow-prod-down_binary64_150` `diff-log_binary64_171`
2×	`associate-/r/_binary64_25` `distribute-rgt-neg-in_binary64_37` `sub-neg_binary64_72`
1×	`associate-/r_binary64_23` `associate--l-_binary64_17` `neg-sub0_binary64_74` `times-frac_binary64_85` `div-inv_binary64_76` `neg-log_binary64_172` `associate-/l_binary64_24` `-commutative_binary64_10` `clear-num_binary64_78` `frac-2neg_binary64_90` `associate-r*_binary64_19`

Counts

4 → 92

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 4 a) c) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (*.f64 a 2)))
15.0ms	(.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (*.f64 a 2))
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

series741.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

323.0ms	(/.f64 (.f64 (.f64 4 a) c) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (*.f64 a 2)))
221.0ms	(.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (*.f64 a 2))
133.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
64.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4946	2800
1	4946	2800

prune157.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0b

Counts

111 → 7

Compiler

Compiled 3692 to 2214 computations (40% saved)

regimes66.0ms (0.9%)

Compiler: Compiled 714 to 519 computations (27.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	32
1	85	32

end0.0ms (0%)

sample1.3s (17%)

Algorithm

1×

intervals

Results

274.0ms	2975×	body	256	valid
273.0ms	8927×	pre	128	true
247.0ms	5021×	body	128	valid
41.0ms	927×	body	128	nan
1.0ms	4×	body	512	valid

Compiler

Compiled 287 to 210 computations (26.8% saved)

Details

analyze257.0ms (3.4%)

sample38.0ms (0.5%)

simplify236.0ms (3.2%)

prune8.0ms (0.1%)

localize12.0ms (0.2%)

rewrite39.0ms (0.5%)

series528.0ms (7.1%)

simplify58.0ms (0.8%)

prune177.0ms (2.4%)

localize13.0ms (0.2%)

rewrite67.0ms (0.9%)

series936.0ms (12.5%)

simplify83.0ms (1.1%)

prune531.0ms (7.1%)

localize16.0ms (0.2%)

rewrite121.0ms (1.6%)

series1.2s (16.2%)

simplify146.0ms (1.9%)

prune613.0ms (8.2%)

localize14.0ms (0.2%)

rewrite63.0ms (0.8%)

series741.0ms (9.9%)

simplify76.0ms (1%)

prune157.0ms (2.1%)

regimes66.0ms (0.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (17%)

Profiling