Details

analyze1.7s (21.6%)

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
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

Compiler

Compiled 34 to 30 computations (11.8% saved)

sample65.0ms (0.8%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
16.0ms	175×	body	128	nan

Compiler

Compiled 67 to 66 computations (1.5% saved)

simplify251.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4962	44
1	4962	44

prune9.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 2.5b

Counts

2 → 1

Compiler

Compiled 124 to 108 computations (12.9% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (sqrt.f64 (+.f64 t a)))
0.3b	(/.f64 2 (*.f64 t 3))
1.4b	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (*.f64 t 3)))))
3.8b	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite63.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`frac-sub_binary64_13504`
19×	`add-sqr-sqrt_binary64_13517`
18×	`associate--r+_binary64_13431`
17×	`*-un-lft-identity_binary64_13495`
16×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533`
15×	`add-cube-cbrt_binary64_13530` `cancel-sign-sub-inv_binary64_13461`
12×	`times-frac_binary64_13501`
9×	`flip3--_binary64_13499` `distribute-lft-in_binary64_13444` `distribute-rgt-in_binary64_13445` `flip--_binary64_13470`
8×	`associate-*r/_binary64_13437` `frac-times_binary64_13505`
7×	`associate-r_binary64_13435`
6×	`add-log-exp_binary64_13534` `pow1_binary64_13556`
5×	`flip-+_binary64_13469` `flip3-+_binary64_13498` `sqrt-prod_binary64_13511`
4×	`div-inv_binary64_13492` `associate-/r_binary64_13439` `associate-/l_binary64_13440` `cbrt-undiv_binary64_13529` `sqrt-div_binary64_13512` `div-exp_binary64_13546`
3×	`sub-neg_binary64_13488` `associate-l_binary64_13436` `cbrt-unprod_binary64_13528` `prod-exp_binary64_13544`
2×	`associate-/l/_binary64_13442` `clear-num_binary64_13494` `unswap-sqr_binary64_13463` `associate--l+_binary64_13432` `frac-2neg_binary64_13506` `associate-*l/_binary64_13438`
1×	`distribute-lft-out_binary64_13446` `*-commutative_binary64_13426` `pow-prod-down_binary64_13566` `diff-log_binary64_13587`

Counts

4 → 113

Calls

4 calls:

22.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (*.f64 t 3)))))
9.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
9.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
6.0ms	(/.f64 2 (*.f64 t 3))

series617.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

370.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (*.f64 t 3)))))
127.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
100.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
20.0ms	(/.f64 2 (*.f64 t 3))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5233	3314

prune297.0ms (3.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	3	126

Merged error: 0.5b

Counts

126 → 3

Compiler

Compiled 6930 to 4078 computations (41.2% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.4b	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (.f64 t 3)))))
2.4b	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))

rewrite104.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-sqr-sqrt_binary64_13517`
64×	`times-frac_binary64_13501`
60×	`frac-sub_binary64_13504`
51×	`*-un-lft-identity_binary64_13495`
46×	`associate-r_binary64_13435`
39×	`add-cube-cbrt_binary64_13530` `frac-times_binary64_13505`
31×	`cbrt-prod_binary64_13526`
28×	`sqrt-prod_binary64_13511`
27×	`associate-*r/_binary64_13437`
25×	`flip3--_binary64_13499` `add-exp-log_binary64_13533` `flip--_binary64_13470`
21×	`associate-*l/_binary64_13438`
18×	`add-cbrt-cube_binary64_13531` `associate--r+_binary64_13431`
15×	`cancel-sign-sub-inv_binary64_13461`
10×	`unswap-sqr_binary64_13463`
9×	`flip-+_binary64_13469` `distribute-lft-in_binary64_13444` `distribute-rgt-in_binary64_13445` `flip3-+_binary64_13498`
8×	`cbrt-unprod_binary64_13528` `prod-exp_binary64_13544`
7×	`associate-l_binary64_13436` `cbrt-undiv_binary64_13529` `div-exp_binary64_13546`
6×	`add-log-exp_binary64_13534` `distribute-lft-out_binary64_13446` `pow1_binary64_13556`
4×	`div-inv_binary64_13492`
3×	`sub-neg_binary64_13488`
2×	`pow1/3_binary64_13577` `associate--l+_binary64_13432`
1×	`*-commutative_binary64_13426` `pow-prod-down_binary64_13566` `diff-log_binary64_13587`

Counts

4 → 181

Calls

4 calls:

28.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))
27.0ms	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (.f64 t 3)))))
2.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series974.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

453.0ms	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (.f64 t 3)))))
212.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))
154.0ms	(cbrt.f64 t)
154.0ms	(cbrt.f64 t)

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5058	8179

prune463.0ms (5.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	193	3	196

Merged error: 0.5b

Counts

196 → 3

Compiler

Compiled 10593 to 5650 computations (46.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (exp.f64 (.f64 2 (-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b)))))
0.0b	(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 2 (-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b)))))))
0.1b	(*.f64 c (+.f64 a 5/6))
0.7b	(-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_13517`
18×	`*-un-lft-identity_binary64_13495`
16×	`add-cube-cbrt_binary64_13530`
15×	`associate-r_binary64_13435`
10×	`add-cbrt-cube_binary64_13531`
9×	`add-exp-log_binary64_13533` `times-frac_binary64_13501`
8×	`distribute-lft-in_binary64_13444` `exp-sum_binary64_13541` `distribute-rgt-in_binary64_13445` `pow1_binary64_13556`
6×	`associate-l_binary64_13436` `add-log-exp_binary64_13534` `associate--l+_binary64_13432`
3×	`sub-neg_binary64_13488` `associate-/r_binary64_13439` `associate-/l_binary64_13440` `cancel-sign-sub-inv_binary64_13461`
2×	`flip-+_binary64_13469` `associate-r/_binary64_13437` `cbrt-unprod_binary64_13528` `unswap-sqr_binary64_13463` `associate-/r/_binary64_13441` `-commutative_binary64_13426` `pow-prod-down_binary64_13566` `prod-exp_binary64_13544` `flip3-+_binary64_13498`
1×	`flip3--_binary64_13499` `div-inv_binary64_13492` `clear-num_binary64_13494` `distribute-lft-out_binary64_13446` `cbrt-undiv_binary64_13529` `div-exp_binary64_13546` `diff-log_binary64_13587` `frac-2neg_binary64_13506` `flip--_binary64_13470`

Counts

4 → 92

Calls

4 calls:

11.0ms	(.f64 y (exp.f64 (.f64 2 (-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b)))))
8.0ms	(*.f64 c (+.f64 a 5/6))
8.0ms	(-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b))
6.0ms	(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 2 (-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b)))))))

series636.0ms (8%)

Counts

4 → 12

Calls

4 calls:

341.0ms	(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 2 (-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b)))))))
185.0ms	(.f64 y (exp.f64 (.f64 2 (-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b)))))
57.0ms	(-.f64 (.f64 c (+.f64 a 5/6)) (.f64 a b))
52.0ms	(*.f64 c (+.f64 a 5/6))

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4985	2297
1	4985	2297

prune177.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	104	3	107

Merged error: 0.2b

Counts

107 → 3

Compiler

Compiled 3639 to 2408 computations (33.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Merged error: 0.2b

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes97.0ms (1.2%)

Compiler: Compiled 436 to 538 computations (-23.4% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	224	59
1	224	59

end0.0ms (0%)

sample2.1s (26.3%)

Algorithm

1×

intervals

Results

803.0ms	8000×	body	128	valid
485.0ms	5174×	body	128	nan

Compiler

Compiled 246 to 207 computations (15.9% saved)

Details

analyze1.7s (21.6%)

sample65.0ms (0.8%)

simplify251.0ms (3.2%)

prune9.0ms (0.1%)

localize23.0ms (0.3%)

rewrite63.0ms (0.8%)

series617.0ms (7.8%)

simplify67.0ms (0.8%)

prune297.0ms (3.8%)

localize34.0ms (0.4%)

rewrite104.0ms (1.3%)

series974.0ms (12.3%)

simplify94.0ms (1.2%)

prune463.0ms (5.9%)

localize13.0ms (0.2%)

rewrite41.0ms (0.5%)

series636.0ms (8%)

simplify81.0ms (1%)

prune177.0ms (2.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes97.0ms (1.2%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.1s (26.3%)

Profiling