Details

analyze393.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	48×	body	128	invalid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify183.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5346	16

prune2.0ms (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

Error

14.4b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

13.9b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
0.1b	(.f64 (.f64 z z) (+.f64 z 1))
0.1b	(.f64 (.f64 z z) (+.f64 z 1))
13.9b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
12×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
7×	`pow1_binary64_11051`
6×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
5×	`*-un-lft-identity_binary64_10990`
4×	`associate-r/_binary64_10932` `associate-r*_binary64_10930` `add-sqr-sqrt_binary64_11012`
3×	`add-cube-cbrt_binary64_11025` `pow-prod-down_binary64_11061`
2×	`add-log-exp_binary64_11029` `flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-/r/_binary64_10936`
1×	`times-frac_binary64_10996` `clear-num_binary64_10989` `distribute-lft-out_binary64_10941` `unswap-sqr_binary64_10958` `associate-/l_binary64_10935` `associate-/r_binary64_10934` `distribute-rgt-in_binary64_10940` `frac-2neg_binary64_11001` `div-inv_binary64_10987` `associate-l_binary64_10931` `*-commutative_binary64_10921` `distribute-lft-in_binary64_10939`

Counts

2 → 51

Calls

4 calls:

10.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
8.0ms	(.f64 (.f64 z z) (+.f64 z 1))
0.0ms	(.f64 (.f64 z z) (+.f64 z 1))
0.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

series256.0ms (4.2%)

Counts

2 → 24

Calls

2 calls:

211.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
44.0ms	(.f64 (.f64 z z) (+.f64 z 1))

Compiler

Compiled 431 to 344 computations (20.2% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4984	1149
1	4984	1149

prune98.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	11	76

Error

2.7b

Counts

76 → 11

Compiler

Compiled 1215 to 606 computations (50.1% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

8.9b	(.f64 y (/.f64 x (.f64 z z)))
6.8b	(/.f64 x (*.f64 z z))
0.3b	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
0.3b	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
6.8b	(/.f64 x (*.f64 z z))
8.9b	(.f64 y (/.f64 x (.f64 z z)))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
14×	`*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
11×	`times-frac_binary64_10996`
10×	`add-cube-cbrt_binary64_11025` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
9×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
7×	`associate-r_binary64_10930`
5×	`pow1_binary64_11051` `associate-/r*_binary64_10934`
4×	`associate-/l*_binary64_10935`
3×	`add-log-exp_binary64_11029` `div-inv_binary64_10987` `associate-l_binary64_10931`
2×	`associate-*r/_binary64_10932` `clear-num_binary64_10989` `distribute-lft-out_binary64_10941` `unswap-sqr_binary64_10958` `associate-/r/_binary64_10936` `frac-2neg_binary64_11001`
1×	`associate-/l/_binary64_10937` `flip3-+_binary64_10993` `flip-+_binary64_10964` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

3 → 79

Calls

6 calls:

10.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
7.0ms	(.f64 y (/.f64 x (.f64 z z)))
4.0ms	(/.f64 x (*.f64 z z))
0.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
0.0ms	(/.f64 x (*.f64 z z))

series415.0ms (6.8%)

Counts

3 → 33

Calls

3 calls:

212.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
139.0ms	(.f64 y (/.f64 x (.f64 z z)))
65.0ms	(/.f64 x (*.f64 z z))

Compiler

Compiled 674 to 563 computations (16.5% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5090	1555

prune110.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Error

0.3b

Counts

123 → 10

Compiler

Compiled 1731 to 709 computations (59% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(*.f64 (/.f64 y z) (/.f64 x z))
0.3b	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
0.3b	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
3.7b	(*.f64 (/.f64 y z) (/.f64 x z))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
30×	`add-sqr-sqrt_binary64_11012`
26×	`times-frac_binary64_10996`
22×	`*-un-lft-identity_binary64_10990`
18×	`add-cube-cbrt_binary64_11025`
13×	`associate-r_binary64_10930` `div-exp_binary64_11041` `associate-l_binary64_10931` `cbrt-undiv_binary64_11024`
8×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
4×	`pow1_binary64_11051` `unswap-sqr_binary64_10958` `associate-/r*_binary64_10934`
3×	`associate-/l/_binary64_10937` `div-inv_binary64_10987`
2×	`frac-times_binary64_11000` `associate-r/_binary64_10932` `add-log-exp_binary64_11029` `distribute-lft-out_binary64_10941` `associate-/r/_binary64_10936` `associate-l/_binary64_10933`
1×	`clear-num_binary64_10989` `associate-/l_binary64_10935` `flip3-+_binary64_10993` `flip-+_binary64_10964` `frac-2neg_binary64_11001` `-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

2 → 84

Calls

4 calls:

11.0ms	(*.f64 (/.f64 y z) (/.f64 x z))
10.0ms	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
0.0ms	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
0.0ms	(*.f64 (/.f64 y z) (/.f64 x z))

series347.0ms (5.7%)

Counts

2 → 27

Calls

2 calls:

212.0ms	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
134.0ms	(*.f64 (/.f64 y z) (/.f64 x z))

Compiler

Compiled 542 to 443 computations (18.3% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5012	1708

prune112.0ms (1.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	110	11	121

Error

0.0b

Counts

121 → 11

Compiler

Compiled 1832 to 789 computations (56.9% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (+.f64 z 1))
0.3b	(cbrt.f64 (+.f64 z 1))
0.2b	(/.f64 (/.f64 x z) (cbrt.f64 (+.f64 z 1)))
0.1b	(/.f64 (/.f64 y z) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1))))
0.3b	(cbrt.f64 (+.f64 z 1))
0.3b	(cbrt.f64 (+.f64 z 1))
0.3b	(*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))
2.9b	(.f64 (/.f64 (/.f64 y z) (.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (/.f64 (/.f64 x z) (cbrt.f64 (+.f64 z 1))))

rewrite127.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

209×	`times-frac_binary64_10996`
159×	`add-sqr-sqrt_binary64_11012`
142×	`*-un-lft-identity_binary64_10990`
104×	`associate-r_binary64_10930`
98×	`add-cube-cbrt_binary64_11025`
90×	`cbrt-prod_binary64_11021`
75×	`add-exp-log_binary64_11028`
51×	`add-cbrt-cube_binary64_11026`
33×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
32×	`associate-l_binary64_10931`
30×	`cbrt-div_binary64_11022`
22×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
21×	`distribute-lft-out_binary64_10941`
19×	`unswap-sqr_binary64_10958`
15×	`flip3-+_binary64_10993` `flip-+_binary64_10964`
13×	`pow1_binary64_11051`
10×	`associate-/r/_binary64_10936` `div-inv_binary64_10987`
9×	`frac-times_binary64_11000` `swap-sqr_binary64_10957`
8×	`pow1/3_binary64_11072`
5×	`associate-r/_binary64_10932` `associate-l/_binary64_10933`
4×	`add-log-exp_binary64_11029`
3×	`pow-prod-down_binary64_11061`
2×	`pow-sqr_binary64_10963` `pow-prod-up_binary64_11060` `*-commutative_binary64_10921`
1×	`pow-plus_binary64_11053` `pow2_binary64_11071`

Counts

4 → 260

Calls

8 calls:

73.0ms	(.f64 (/.f64 (/.f64 y z) (.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (/.f64 (/.f64 x z) (cbrt.f64 (+.f64 z 1))))
11.0ms	(*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))
3.0ms	(cbrt.f64 (+.f64 z 1))
3.0ms	(cbrt.f64 (+.f64 z 1))
0.0ms	(/.f64 (/.f64 y z) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1))))

series391.0ms (6.4%)

Counts

4 → 48

Calls

4 calls:

233.0ms	(.f64 (/.f64 (/.f64 y z) (.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (/.f64 (/.f64 x z) (cbrt.f64 (+.f64 z 1))))
62.0ms	(*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))
51.0ms	(cbrt.f64 (+.f64 z 1))
45.0ms	(cbrt.f64 (+.f64 z 1))

Compiler

Compiled 1324 to 1093 computations (17.4% saved)

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5314	8645

prune705.0ms (11.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	308	11	319

Error

0.0b

Counts

319 → 11

Compiler

Compiled 9000 to 5312 computations (41% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	262	1038
1	262	1038

regimes214.0ms (3.5%)

Compiler: Compiled 2031 to 1545 computations (23.9% saved)

bsearch0.0ms (0%)

regimes193.0ms (3.2%)

Compiler: Compiled 1467 to 1203 computations (18% saved)

bsearch25.0ms (0.4%)

Steps

Iters	Range		Point
10	-1.1892908789075738e-298	6.450463218622358e-304	-4.7859134776955e-311

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes161.0ms (2.6%)

Compiler: Compiled 1296 to 1083 computations (16.4% saved)

bsearch0.0ms (0%)

regimes50.0ms (0.8%)

Compiler: Compiled 237 to 237 computations (0% saved)

bsearch0.0ms (0%)

regimes49.0ms (0.8%)

Compiler: Compiled 204 to 210 computations (-2.9% saved)

bsearch0.0ms (0%)

regimes48.0ms (0.8%)

Compiler: Compiled 171 to 183 computations (-7% saved)

bsearch0.0ms (0%)

regimes65.0ms (1.1%)

Compiler: Compiled 105 to 129 computations (-22.9% saved)

bsearch32.0ms (0.5%)

Steps

Iters	Range		Point
8	0.007493494241972367	3.028982372034107	0.9933293273185231
9	-4000405.996115119	-0.006226319988244784	-1.0082186945810976

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes63.0ms (1%)

Compiler: Compiled 78 to 108 computations (-38.5% saved)

bsearch29.0ms (0.5%)

Steps

Iters	Range		Point
6	2.681244467673627e+96	1.4742952193271936e+97	3.052246099489061e+96
9	-4000405.996115119	-0.006226319988244784	-1.0082186945810976

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes44.0ms (0.7%)

Compiler: Compiled 57 to 90 computations (-57.9% saved)

bsearch29.0ms (0.5%)

Steps

Iters	Range		Point
7	1.7929174190311904e+49	1.0612003298131069e+51	2.3035732907277228e+49
9	-4000405.996115119	-0.006226319988244784	-1.0082186945810976

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes26.0ms (0.4%)

Accuracy

Total 1.4b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 147 to 118 computations (19.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	214
1	81	214

end0.0ms (0%)

sample1.4s (23.3%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
56.0ms	1545×	body	128	invalid

Compiler

Compiled 860 to 657 computations (23.6% saved)

Pareto

0.7924142550711957

Details

analyze393.0ms (6.4%)

sample20.0ms (0.3%)

simplify183.0ms (3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite23.0ms (0.4%)

series256.0ms (4.2%)

simplify71.0ms (1.2%)

prune98.0ms (1.6%)

localize8.0ms (0.1%)

rewrite28.0ms (0.5%)

series415.0ms (6.8%)

simplify89.0ms (1.5%)

prune110.0ms (1.8%)

localize7.0ms (0.1%)

rewrite28.0ms (0.5%)

series347.0ms (5.7%)

simplify78.0ms (1.3%)

prune112.0ms (1.8%)

localize12.0ms (0.2%)

rewrite127.0ms (2.1%)

series391.0ms (6.4%)

simplify101.0ms (1.7%)

prune705.0ms (11.6%)

simplify16.0ms (0.3%)

regimes214.0ms (3.5%)

bsearch0.0ms (0%)

regimes193.0ms (3.2%)

bsearch25.0ms (0.4%)

regimes161.0ms (2.6%)

bsearch0.0ms (0%)

regimes50.0ms (0.8%)

bsearch0.0ms (0%)

regimes49.0ms (0.8%)

bsearch0.0ms (0%)

regimes48.0ms (0.8%)

bsearch0.0ms (0%)

regimes65.0ms (1.1%)

bsearch32.0ms (0.5%)

regimes63.0ms (1%)

bsearch29.0ms (0.5%)

regimes44.0ms (0.7%)

bsearch29.0ms (0.5%)

regimes26.0ms (0.4%)

bsearch8.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.4s (23.3%)

Profiling