Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample38.0ms (1%)

Algorithm

1×

intervals

Results

27.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify619.0ms (15.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (478.0ms)

Iter	Nodes	Cost
0	5830	21

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: 0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite61.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_18173`
12×	`*-un-lft-identity_binary64_18151`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
9×	`add-cube-cbrt_binary64_18186`
8×	`add-log-exp_binary64_18190`
7×	`associate-r_binary64_18091`
6×	`cancel-sign-sub-inv_binary64_18117`
5×	`pow1_binary64_18212`
4×	`associate-*r/_binary64_18093` `distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100`
3×	`times-frac_binary64_18157` `sum-log_binary64_18242` `associate-l_binary64_18092` `associate-/r*_binary64_18095`
2×	`div-exp_binary64_18202` `flip3--_binary64_18155` `associate-/l/_binary64_18098` `flip-+_binary64_18125` `sub-neg_binary64_18144` `flip--_binary64_18126` `associate-/r/_binary64_18097` `difference-of-squares_binary64_18120` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185` `flip3-+_binary64_18154`
1×	`div-inv_binary64_18148` `associate-/l_binary64_18096` `unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `difference-of-sqr-1_binary64_18121` `+-commutative_binary64_18081` `distribute-lft-out--_binary64_18103` `associate-+l+_binary64_18084` `clear-num_binary64_18150` `frac-2neg_binary64_18162`

Counts

3 → 70

Calls

3 calls:

20.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
14.0ms	(*.f64 6 (-.f64 x 1))
12.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series139.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

67.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
43.0ms	(*.f64 6 (-.f64 x 1))
29.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify114.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5497	1395

prune166.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Merged error: 0b

Counts

80 → 3

Compiler

Compiled 1638 to 1195 computations (27% saved)

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.0b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite90.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64_18173`
48×	`*-un-lft-identity_binary64_18151`
43×	`times-frac_binary64_18157`
27×	`associate-r_binary64_18091` `add-cube-cbrt_binary64_18186`
14×	`difference-of-squares_binary64_18120`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
8×	`add-log-exp_binary64_18190`
7×	`associate-/l*_binary64_18096` `difference-of-sqr-1_binary64_18121` `distribute-lft-out--_binary64_18103`
5×	`pow1_binary64_18212`
4×	`associate-/r/_binary64_18097`
3×	`flip-+_binary64_18125` `sum-log_binary64_18242` `associate-l_binary64_18092` `flip3-+_binary64_18154` `associate-/r*_binary64_18095`
2×	`div-exp_binary64_18202` `div-inv_binary64_18148` `associate-/l/_binary64_18098` `unswap-sqr_binary64_18119` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185`
1×	`flip3--_binary64_18155` `associate-r/_binary64_18093` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `+-commutative_binary64_18081` `flip--_binary64_18126` `associate-+l+_binary64_18084` `clear-num_binary64_18150` `frac-2neg_binary64_18162` `div-sub_binary64_18156`

Counts

3 → 107

Calls

3 calls:

34.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
22.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
12.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series164.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

68.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
64.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
31.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify135.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4940	3245
1	4940	3245

prune262.0ms (6.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 3001 to 2152 computations (28.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
0.2b	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))

rewrite97.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_18157`
34×	`add-sqr-sqrt_binary64_18173`
32×	`add-exp-log_binary64_18189`
31×	`*-un-lft-identity_binary64_18151`
28×	`add-cube-cbrt_binary64_18186`
20×	`add-cbrt-cube_binary64_18187`
14×	`div-exp_binary64_18202`
12×	`associate-*r/_binary64_18093`
11×	`associate-/r/_binary64_18097`
10×	`associate-/r*_binary64_18095`
9×	`add-log-exp_binary64_18190`
7×	`pow1_binary64_18212` `associate-r_binary64_18091` `cbrt-undiv_binary64_18185`
6×	`div-inv_binary64_18148` `flip3--_binary64_18155` `associate-/l*_binary64_18096` `cancel-sign-sub-inv_binary64_18117` `flip--_binary64_18126`
5×	`prod-exp_binary64_18200`
4×	`distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100`
3×	`1-exp_binary64_18195` `rec-exp_binary64_18201` `sum-log_binary64_18242` `associate-l_binary64_18092` `cbrt-unprod_binary64_18184`
2×	`associate-/l/_binary64_18098` `flip-+_binary64_18125` `sub-neg_binary64_18144` `clear-num_binary64_18150` `frac-2neg_binary64_18162` `difference-of-squares_binary64_18120` `flip3-+_binary64_18154`
1×	`inv-pow_binary64_18236` `pow-flip_binary64_18225` `unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `*-commutative_binary64_18082` `difference-of-sqr-1_binary64_18121` `+-commutative_binary64_18081` `distribute-lft-out--_binary64_18103` `associate-+l+_binary64_18084`

Counts

4 → 134

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
23.0ms	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))
15.0ms	(*.f64 6 (-.f64 x 1))
11.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series180.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))
59.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
36.0ms	(*.f64 6 (-.f64 x 1))
26.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify113.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5403	3500

prune303.0ms (7.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	146	3	149

Merged error: 0b

Counts

149 → 3

Compiler

Compiled 3386 to 2532 computations (25.2% saved)

regimes112.0ms (2.8%)

Compiler: Compiled 596 to 490 computations (17.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21

end0.0ms (0%)

sample1.3s (33.5%)

Algorithm

1×

intervals

Results

636.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 258 to 214 computations (17.1% saved)

Details

analyze6.0ms (0.1%)

sample38.0ms (1%)

simplify619.0ms (15.5%)

prune4.0ms (0.1%)

localize17.0ms (0.4%)

rewrite61.0ms (1.5%)

series139.0ms (3.5%)

simplify114.0ms (2.9%)

prune166.0ms (4.1%)

localize18.0ms (0.4%)

rewrite90.0ms (2.2%)

series164.0ms (4.1%)

simplify135.0ms (3.4%)

prune262.0ms (6.6%)

localize20.0ms (0.5%)

rewrite97.0ms (2.4%)

series180.0ms (4.5%)

simplify113.0ms (2.8%)

prune303.0ms (7.6%)

regimes112.0ms (2.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (33.5%)

Profiling