Details

analyze2.4s (22.7%)

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
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
1.0ms	8×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	48	25
1	48	25

prune4.0ms (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

Merged error: 18.9b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

3.9b	(/.f64 (*.f64 y b) t)
4.1b	(/.f64 (*.f64 y z) t)
14.5b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite59.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_19515`
26×	`times-frac_binary64_19521`
21×	`distribute-lft-out_binary64_19466`
18×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
15×	`add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
11×	`associate-/r*_binary64_19459`
6×	`associate-/l*_binary64_19460`
5×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549`
4×	`associate-/r/_binary64_19461`
3×	`flip-+_binary64_19489` `pow1_binary64_19576` `div-inv_binary64_19512` `add-log-exp_binary64_19554` `clear-num_binary64_19514` `frac-2neg_binary64_19526` `flip3-+_binary64_19518`
2×	`cbrt-unprod_binary64_19548` `associate-/l/_binary64_19462` `frac-add_binary64_19523` `prod-exp_binary64_19564`

Counts

3 → 89

Calls

3 calls:

24.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
8.0ms	(/.f64 (*.f64 y z) t)
8.0ms	(/.f64 (*.f64 y b) t)

series342.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

264.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
41.0ms	(/.f64 (*.f64 y b) t)
36.0ms	(/.f64 (*.f64 y z) t)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5140	2139

prune252.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	11	99

Merged error: 13.7b

Counts

99 → 11

Compiler

Compiled 2564 to 916 computations (64.3% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

3.9b	(/.f64 (*.f64 y b) t)
4.1b	(.f64 (.f64 y z) (/.f64 1 t))
14.5b	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite63.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_19515`
32×	`add-exp-log_binary64_19553`
27×	`times-frac_binary64_19521`
22×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `add-cbrt-cube_binary64_19551`
13×	`prod-exp_binary64_19564` `associate-r_binary64_19455`
12×	`distribute-lft-out_binary64_19466`
8×	`associate-/r*_binary64_19459` `pow1_binary64_19576`
7×	`cbrt-unprod_binary64_19548` `div-exp_binary64_19566`
5×	`cbrt-undiv_binary64_19549`
4×	`associate-/r/_binary64_19461` `associate-/l*_binary64_19460`
3×	`flip-+_binary64_19489` `div-inv_binary64_19512` `add-log-exp_binary64_19554` `pow-prod-down_binary64_19586` `flip3-+_binary64_19518`
2×	`associate-/l/_binary64_19462` `rec-exp_binary64_19565` `frac-add_binary64_19523` `clear-num_binary64_19514` `1-exp_binary64_19559` `frac-2neg_binary64_19526`
1×	`associate-r/_binary64_19457` `associate-l_binary64_19456` `-commutative_binary64_19446` `un-div-inv_binary64_19513`

Counts

3 → 100

Calls

3 calls:

25.0ms	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
14.0ms	(.f64 (.f64 y z) (/.f64 1 t))
8.0ms	(/.f64 (*.f64 y b) t)

series307.0ms (3%)

Counts

3 → 9

Calls

3 calls:

237.0ms	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
38.0ms	(/.f64 (*.f64 y b) t)
32.0ms	(.f64 (.f64 y z) (/.f64 1 t))

simplify151.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5036	2091

prune208.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	109	11	120

Merged error: 13.7b

Counts

120 → 11

Compiler

Compiled 2851 to 1140 computations (60% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (/.f64 t (*.f64 y z)))
3.9b	(/.f64 (*.f64 y b) t)
4.1b	(/.f64 t (*.f64 y z))
14.5b	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 y z)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite105.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`*-un-lft-identity_binary64_19515`
64×	`times-frac_binary64_19521`
37×	`add-exp-log_binary64_19553`
36×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
30×	`distribute-lft-out_binary64_19466`
25×	`add-cbrt-cube_binary64_19551`
17×	`div-exp_binary64_19566`
16×	`associate-/r*_binary64_19459`
14×	`div-inv_binary64_19512`
12×	`associate-/l*_binary64_19460`
10×	`cbrt-undiv_binary64_19549`
5×	`associate-/r/_binary64_19461` `pow1_binary64_19576` `prod-exp_binary64_19564`
4×	`add-log-exp_binary64_19554` `clear-num_binary64_19514` `frac-2neg_binary64_19526`
3×	`cbrt-unprod_binary64_19548` `flip-+_binary64_19489` `rec-exp_binary64_19565` `1-exp_binary64_19559` `flip3-+_binary64_19518`
2×	`associate-/l/_binary64_19462` `frac-add_binary64_19523`
1×	`inv-pow_binary64_19600` `pow-flip_binary64_19589`

Counts

4 → 151

Calls

4 calls:

40.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 y z)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
13.0ms	(/.f64 1 (/.f64 t (*.f64 y z)))
9.0ms	(/.f64 t (*.f64 y z))
9.0ms	(/.f64 (*.f64 y b) t)

series412.0ms (4%)

Counts

4 → 12

Calls

4 calls:

313.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 y z)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
37.0ms	(/.f64 1 (/.f64 t (*.f64 y z)))
31.0ms	(/.f64 (*.f64 y b) t)
30.0ms	(/.f64 t (*.f64 y z))

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4996	3081
1	4996	3081

prune303.0ms (2.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	164	10	174

Merged error: 13.7b

Counts

174 → 10

Compiler

Compiled 4119 to 1557 computations (62.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
3.9b	(/.f64 (*.f64 y b) t)
4.1b	(/.f64 (*.f64 y z) t)
14.5b	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))))

rewrite104.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_19515`
38×	`times-frac_binary64_19521`
35×	`add-sqr-sqrt_binary64_19537`
28×	`add-cube-cbrt_binary64_19550`
27×	`add-exp-log_binary64_19553`
23×	`associate-r_binary64_19455`
22×	`distribute-lft-out_binary64_19466`
21×	`add-cbrt-cube_binary64_19551`
11×	`associate-/r*_binary64_19459`
8×	`associate-/r/_binary64_19461` `div-exp_binary64_19566`
7×	`pow1_binary64_19576`
6×	`flip-+_binary64_19489` `cbrt-undiv_binary64_19549` `prod-exp_binary64_19564` `flip3-+_binary64_19518`
5×	`associate-/l*_binary64_19460`
4×	`associate-l_binary64_19456` `cbrt-unprod_binary64_19548` `div-inv_binary64_19512` `add-log-exp_binary64_19554` `frac-add_binary64_19523`
3×	`clear-num_binary64_19514` `unswap-sqr_binary64_19483` `frac-2neg_binary64_19526`
2×	`associate-*l/_binary64_19458` `rec-exp_binary64_19565` `frac-times_binary64_19525` `1-exp_binary64_19559`
1×	`associate-r/_binary64_19457` `inv-pow_binary64_19600` `-commutative_binary64_19446` `un-div-inv_binary64_19513` `pow-flip_binary64_19589` `pow-prod-down_binary64_19586`

Counts

4 → 136

Calls

4 calls:

36.0ms	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))))
19.0ms	(/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
9.0ms	(/.f64 (*.f64 y b) t)
9.0ms	(/.f64 (*.f64 y z) t)

series402.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))))
97.0ms	(/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
38.0ms	(/.f64 (*.f64 y b) t)
33.0ms	(/.f64 (*.f64 y z) t)

simplify127.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5064	2849

prune267.0ms (2.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	148	10	158

Merged error: 13.7b

Counts

158 → 10

Compiler

Compiled 3713 to 1409 computations (62.1% saved)

regimes1.4s (13.4%)

Compiler: Compiled 8841 to 6598 computations (25.4% saved)

bsearch5.0ms (0%)

Compiler: Compiled 17 to 15 computations (11.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	208
1	59	208

end0.0ms (0%)

sample3.0s (28.9%)

Algorithm

1×

intervals

Results

816.0ms	8000×	body	128	valid
26.0ms	267×	body	128	invalid

Compiler

Compiled 1288 to 915 computations (29% saved)

Details

analyze2.4s (22.7%)

sample49.0ms (0.5%)

simplify160.0ms (1.5%)

prune4.0ms (0%)

localize22.0ms (0.2%)

rewrite59.0ms (0.6%)

series342.0ms (3.3%)

simplify81.0ms (0.8%)

prune252.0ms (2.4%)

localize25.0ms (0.2%)

rewrite63.0ms (0.6%)

series307.0ms (3%)

simplify151.0ms (1.5%)

prune208.0ms (2%)

localize28.0ms (0.3%)

rewrite105.0ms (1%)

series412.0ms (4%)

simplify130.0ms (1.3%)

prune303.0ms (2.9%)

localize26.0ms (0.2%)

rewrite104.0ms (1%)

series402.0ms (3.9%)

simplify127.0ms (1.2%)

prune267.0ms (2.6%)

regimes1.4s (13.4%)

bsearch5.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.0s (28.9%)

Profiling