Details

analyze338.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	64
1	263	64
0	3	3
1	3	3

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	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

5.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.1b	(.f64 y (+.f64 1 (.f64 z z)))
3.7b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_9973`
26×	`add-exp-log_binary64_10005`
20×	`add-sqr-sqrt_binary64_9989`
18×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
16×	`add-cbrt-cube_binary64_10003`
13×	`associate-/l*_binary64_9912`
12×	`div-exp_binary64_10018`
6×	`cbrt-undiv_binary64_10001`
5×	`prod-exp_binary64_10016`
4×	`associate-*r/_binary64_9909` `pow1_binary64_10028`
3×	`cbrt-unprod_binary64_10000` `associate-l_binary64_9908` `associate-r_binary64_9907` `div-inv_binary64_9964`
2×	`flip3-+_binary64_9970` `1-exp_binary64_10011` `rec-exp_binary64_10017` `flip-+_binary64_9941` `add-log-exp_binary64_10006` `associate-/r/_binary64_9913`
1×	`associate-/l/_binary64_9914` `distribute-lft-in_binary64_9916` `pow-prod-down_binary64_10038` `distribute-rgt-in_binary64_9917` `unswap-sqr_binary64_9935` `associate-/r_binary64_9911` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `-commutative_binary64_9898`

Counts

2 → 74

Calls

2 calls:

9.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series89.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
38.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5190	1317

prune89.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Error

3.8b

Counts

81 → 6

Compiler

Compiled 1362 to 815 computations (40.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
1.8b	(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
3.7b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))

rewrite119.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

354×	`times-frac_binary64_9973`
245×	`add-sqr-sqrt_binary64_9989`
193×	`add-exp-log_binary64_10005`
171×	`*-un-lft-identity_binary64_9967`
157×	`add-cube-cbrt_binary64_10002`
109×	`div-exp_binary64_10018`
77×	`cbrt-prod_binary64_9998`
72×	`associate-r_binary64_9907`
55×	`prod-exp_binary64_10016`
52×	`add-cbrt-cube_binary64_10003`
30×	`cbrt-undiv_binary64_10001`
25×	`associate-l_binary64_9908`
24×	`unswap-sqr_binary64_9935`
22×	`associate-/l*_binary64_9912`
19×	`1-exp_binary64_10011` `rec-exp_binary64_10017`
15×	`cbrt-unprod_binary64_10000`
13×	`div-inv_binary64_9964`
6×	`pow1_binary64_10028`
4×	`add-log-exp_binary64_10006` `associate-/r/_binary64_9913`
3×	`associate-/r*_binary64_9911`
2×	`flip3-+_binary64_9970` `pow1/3_binary64_10049` `flip-+_binary64_9941`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `associate-/l/_binary64_9914` `pow-prod-down_binary64_10038` `associate-r/_binary64_9909` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`

Counts

4 → 317

Calls

4 calls:

57.0ms	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))
10.0ms	(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series368.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

121.0ms	(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
83.0ms	(cbrt.f64 x)
82.0ms	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))
81.0ms	(cbrt.f64 x)

simplify139.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	8676
1	4959	8676

prune694.0ms (14.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	327	2	329
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	327	8	335

Error

2.6b

Counts

335 → 8

Compiler

Compiled 9053 to 4943 computations (45.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 1 (.f64 x (.f64 y (+.f64 1 (*.f64 z z)))))
3.1b	(.f64 y (+.f64 1 (.f64 z z)))
3.6b	(.f64 x (.f64 y (+.f64 1 (*.f64 z z))))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_10005`
19×	`add-cbrt-cube_binary64_10003`
16×	`pow1_binary64_10028`
13×	`prod-exp_binary64_10016`
10×	`add-sqr-sqrt_binary64_9989` `associate-*r/_binary64_9909`
8×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
7×	`cbrt-unprod_binary64_10000` `pow-prod-down_binary64_10038`
6×	`div-exp_binary64_10018` `associate-l_binary64_9908`
5×	`distribute-lft-in_binary64_9916` `distribute-rgt-in_binary64_9917`
4×	`associate-r_binary64_9907`
3×	`times-frac_binary64_9973` `flip3-+_binary64_9970` `1-exp_binary64_10011` `cbrt-undiv_binary64_10001` `rec-exp_binary64_10017` `flip-+_binary64_9941` `associate-/l*_binary64_9912` `add-log-exp_binary64_10006` `pow-flip_binary64_10041`
2×	`associate-/r/_binary64_9913` `*-commutative_binary64_9898`
1×	`inv-pow_binary64_10052` `unswap-sqr_binary64_9935` `div-inv_binary64_9964` `associate-/r*_binary64_9911` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

3 → 81

Calls

3 calls:

8.0ms	(/.f64 1 (.f64 x (.f64 y (+.f64 1 (*.f64 z z)))))
7.0ms	(.f64 x (.f64 y (+.f64 1 (*.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series144.0ms (3%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(.f64 x (.f64 y (+.f64 1 (*.f64 z z))))
51.0ms	(/.f64 1 (.f64 x (.f64 y (+.f64 1 (*.f64 z z)))))
36.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify86.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4960	1246
1	4960	1246

prune74.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	90	8	98

Error

2.6b

Counts

98 → 8

Compiler

Compiled 1436 to 836 computations (41.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.9b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
4.4b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite53.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_9973`
126×	`add-sqr-sqrt_binary64_9989`
93×	`*-un-lft-identity_binary64_9967`
86×	`add-cube-cbrt_binary64_10002`
76×	`add-exp-log_binary64_10005`
45×	`associate-r_binary64_9907`
40×	`div-exp_binary64_10018`
28×	`add-cbrt-cube_binary64_10003`
20×	`prod-exp_binary64_10016`
13×	`associate-l_binary64_9908` `associate-/l*_binary64_9912`
12×	`cbrt-undiv_binary64_10001` `unswap-sqr_binary64_9935`
10×	`1-exp_binary64_10011` `rec-exp_binary64_10017` `div-inv_binary64_9964`
6×	`cbrt-unprod_binary64_10000`
4×	`pow1_binary64_10028` `associate-/r/_binary64_9913`
3×	`associate-/r*_binary64_9911`
2×	`flip3-+_binary64_9970` `flip-+_binary64_9941` `add-log-exp_binary64_10006`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `associate-/l/_binary64_9914` `pow-prod-down_binary64_10038` `associate-r/_binary64_9909` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`

Counts

2 → 182

Calls

2 calls:

26.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series96.0ms (2%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
46.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))

simplify110.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4919	4277
1	4919	4277

prune200.0ms (4.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	188	8	196

Error

2.6b

Counts

196 → 8

Compiler

Compiled 4019 to 2452 computations (39% saved)

regimes726.0ms (15.2%)

Accuracy

Total 0.4b remaining (11.1%)

Threshold costs 0.4b (11.1%)

Compiler

Compiled 6987 to 5874 computations (15.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	71
1	52	71

Compiler

Compiled 94 to 66 computations (29.8% saved)

end0.0ms (0%)

sample1.2s (26.1%)

Algorithm

1×

intervals

Results

307.0ms	8000×	body	128	valid
17.0ms	477×	body	128	invalid

Compiler

Compiled 781 to 641 computations (17.9% saved)

Details

analyze338.0ms (7.1%)

sample19.0ms (0.4%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite23.0ms (0.5%)

series89.0ms (1.9%)

simplify76.0ms (1.6%)

prune89.0ms (1.9%)

localize13.0ms (0.3%)

rewrite119.0ms (2.5%)

series368.0ms (7.7%)

simplify139.0ms (2.9%)

prune694.0ms (14.5%)

localize7.0ms (0.1%)

rewrite26.0ms (0.6%)

series144.0ms (3%)

simplify86.0ms (1.8%)

prune74.0ms (1.6%)

localize8.0ms (0.2%)

rewrite53.0ms (1.1%)

series96.0ms (2%)

simplify110.0ms (2.3%)

prune200.0ms (4.2%)

regimes726.0ms (15.2%)

bsearch2.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.2s (26.1%)

Profiling