Details

analyze1.6s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	400
1	382	400
0	6	6
1	6	6

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)

sample29.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	48	25
1	48	25

prune5.0ms (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

16.3b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
4.2b	(/.f64 (*.f64 y b) t)
5.9b	(/.f64 (*.f64 y z) t)
12.5b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite185.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

Rules

58×	`*-un-lft-identity_binary64_20538`
26×	`times-frac_binary64_20544`
22×	`distribute-lft-out_binary64_20489`
19×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
16×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
11×	`associate-/r*_binary64_20482`
6×	`add-log-exp_binary64_20577` `associate-/l*_binary64_20483`
5×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
4×	`pow1_binary64_20599` `flip3-+_binary64_20541` `flip-+_binary64_20512` `associate-/r/_binary64_20484`
3×	`frac-2neg_binary64_20549` `clear-num_binary64_20537` `div-inv_binary64_20535`
2×	`associate-/l/_binary64_20485` `frac-add_binary64_20546` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571`
1×	`sum-log_binary64_20629` `+-commutative_binary64_20468`

Counts

4 → 101

Calls

4 calls:

15.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
4.0ms	(/.f64 (*.f64 y z) t)
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 2733 to 866 computations (68.3% saved)

series1.6s (9.9%)

Error

3.1b

Counts

4 → 84

Calls

4 calls:

1.0s	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
205.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
118.0ms	(/.f64 (*.f64 y z) t)
104.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 6656 to 4378 computations (34.2% saved)

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5020	4691

prune261.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	173	12	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	12	186

Error

1.1b

Counts

186 → 12

Compiler

Compiled 4834 to 1580 computations (67.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (/.f64 t (*.f64 z y)))
4.2b	(/.f64 (*.f64 y b) t)
5.8b	(/.f64 t (*.f64 z y))
12.5b	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 z y)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite274.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

84×	`*-un-lft-identity_binary64_20538`
64×	`times-frac_binary64_20544`
37×	`add-exp-log_binary64_20576`
36×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
30×	`distribute-lft-out_binary64_20489`
25×	`add-cbrt-cube_binary64_20574`
17×	`div-exp_binary64_20589`
16×	`associate-/r*_binary64_20482`
14×	`div-inv_binary64_20535`
12×	`associate-/l*_binary64_20483`
10×	`cbrt-undiv_binary64_20572`
5×	`pow1_binary64_20599` `associate-/r/_binary64_20484` `prod-exp_binary64_20587`
4×	`add-log-exp_binary64_20577` `frac-2neg_binary64_20549` `clear-num_binary64_20537`
3×	`flip3-+_binary64_20541` `flip-+_binary64_20512` `cbrt-unprod_binary64_20571` `1-exp_binary64_20582` `rec-exp_binary64_20588`
2×	`associate-/l/_binary64_20485` `frac-add_binary64_20546`
1×	`inv-pow_binary64_20623` `pow-flip_binary64_20612`

Counts

4 → 151

Calls

4 calls:

23.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 z y)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
12.0ms	(/.f64 1 (/.f64 t (*.f64 z y)))
8.0ms	(/.f64 (*.f64 y b) t)
7.0ms	(/.f64 t (*.f64 z y))

Compiler

Compiled 4298 to 1841 computations (57.2% saved)

series1.6s (10.2%)

Error

1.1b

Counts

4 → 69

Calls

4 calls:

1.1s	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 z y)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
152.0ms	(/.f64 t (*.f64 z y))
129.0ms	(/.f64 (*.f64 y b) t)
110.0ms	(/.f64 1 (/.f64 t (*.f64 z y)))

Compiler

Compiled 6299 to 4196 computations (33.4% saved)

simplify150.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4968	5319
1	4968	5319

prune251.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	221	11	232

Error

1.1b

Counts

232 → 11

Compiler

Compiled 5888 to 2119 computations (64% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
4.3b	(.f64 (.f64 y b) (/.f64 1 t))
5.9b	(/.f64 (*.f64 y z) t)
12.5b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 (*.f64 y b) (/.f64 1 t))))

rewrite222.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

33×	`add-exp-log_binary64_20576`
32×	`*-un-lft-identity_binary64_20538`
24×	`times-frac_binary64_20544`
23×	`add-cbrt-cube_binary64_20574`
22×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
13×	`prod-exp_binary64_20587` `associate-r_binary64_20478`
9×	`pow1_binary64_20599`
7×	`div-exp_binary64_20589` `cbrt-unprod_binary64_20571`
6×	`add-log-exp_binary64_20577` `associate-/r/_binary64_20484` `associate-/r*_binary64_20482`
5×	`cbrt-undiv_binary64_20572` `distribute-lft-out_binary64_20489` `flip3-+_binary64_20541` `flip-+_binary64_20512` `associate-/l*_binary64_20483`
4×	`frac-add_binary64_20546`
3×	`div-inv_binary64_20535` `un-div-inv_binary64_20536` `associate-*r/_binary64_20480` `pow-prod-down_binary64_20609`
2×	`frac-2neg_binary64_20549` `clear-num_binary64_20537` `associate-/l/_binary64_20485` `1-exp_binary64_20582` `rec-exp_binary64_20588`
1×	`associate-l_binary64_20479` `*-commutative_binary64_20469` `sum-log_binary64_20629` `+-commutative_binary64_20468`

Counts

4 → 110

Calls

4 calls:

19.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 (*.f64 y b) (/.f64 1 t))))
9.0ms	(.f64 (.f64 y b) (/.f64 1 t))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 3256 to 1396 computations (57.1% saved)

series1.7s (10.4%)

Error

1.1b

Counts

4 → 84

Calls

4 calls:

1.1s	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 (*.f64 y b) (/.f64 1 t))))
191.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
143.0ms	(.f64 (.f64 y b) (/.f64 1 t))
117.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 6830 to 4585 computations (32.9% saved)

simplify151.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4975	4580
1	4975	4580

prune202.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	195	10	205

Error

1.1b

Counts

205 → 10

Compiler

Compiled 5147 to 1894 computations (63.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 z (/.f64 y t)))
4.2b	(/.f64 (*.f64 y b) t)
7.2b	(*.f64 z (/.f64 y t))
12.5b	(/.f64 (+.f64 x (.f64 z (/.f64 y t))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite152.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

44×	`*-un-lft-identity_binary64_20538`
29×	`add-sqr-sqrt_binary64_20560`
28×	`times-frac_binary64_20544`
24×	`add-cube-cbrt_binary64_20573`
16×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
13×	`associate-r_binary64_20478`
12×	`distribute-lft-out_binary64_20489`
8×	`associate-/r*_binary64_20482`
6×	`pow1_binary64_20599` `add-log-exp_binary64_20577`
4×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `flip3-+_binary64_20541` `flip-+_binary64_20512` `associate-/r/_binary64_20484` `associate-/l*_binary64_20483`
3×	`div-inv_binary64_20535` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `associate-l_binary64_20479`
2×	`frac-2neg_binary64_20549` `clear-num_binary64_20537` `associate-/l/_binary64_20485` `frac-add_binary64_20546` `unswap-sqr_binary64_20506`
1×	`pow-prod-down_binary64_20609` `associate-r/_binary64_20480` `-commutative_binary64_20469` `sum-log_binary64_20629` `+-commutative_binary64_20468`

Counts

4 → 105

Calls

4 calls:

17.0ms	(*.f64 z (/.f64 y t))
13.0ms	(/.f64 (+.f64 x (.f64 z (/.f64 y t))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
6.0ms	(/.f64 (*.f64 y b) t)
3.0ms	(+.f64 x (*.f64 z (/.f64 y t)))

Compiler

Compiled 2850 to 904 computations (68.3% saved)

series1.6s (9.7%)

Error

1.1b

Counts

4 → 84

Calls

4 calls:

1.1s	(/.f64 (+.f64 x (.f64 z (/.f64 y t))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
185.0ms	(+.f64 x (*.f64 z (/.f64 y t)))
111.0ms	(/.f64 (*.f64 y b) t)
110.0ms	(*.f64 z (/.f64 y t))

Compiler

Compiled 6656 to 4378 computations (34.2% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5284	4600

prune200.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	189	10	199

Error

1.1b

Counts

199 → 10

Compiler

Compiled 4725 to 1412 computations (70.1% saved)

regimes2.6s (16.4%)

Accuracy

Total 7.0b remaining (86.9%)

Threshold costs 0b (0%)

Compiler

Compiled 18866 to 13523 computations (28.3% saved)

bsearch5.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	166
1	49	166

end0.0ms (0%)

sample2.9s (18.3%)

Algorithm

1×

intervals

Results

526.0ms	8000×	body	128	valid
16.0ms	255×	body	128	invalid

Compiler

Compiled 2338 to 1639 computations (29.9% saved)

Details

analyze1.6s (10.3%)

sample29.0ms (0.2%)

simplify15.0ms (0.1%)

prune5.0ms (0%)

localize14.0ms (0.1%)

rewrite185.0ms (1.2%)

series1.6s (9.9%)

simplify115.0ms (0.7%)

prune261.0ms (1.6%)

localize13.0ms (0.1%)

rewrite274.0ms (1.7%)

series1.6s (10.2%)

simplify150.0ms (0.9%)

prune251.0ms (1.6%)

localize13.0ms (0.1%)

rewrite222.0ms (1.4%)

series1.7s (10.4%)

simplify151.0ms (0.9%)

prune202.0ms (1.3%)

localize12.0ms (0.1%)

rewrite152.0ms (0.9%)

series1.6s (9.7%)

simplify91.0ms (0.6%)

prune200.0ms (1.2%)

regimes2.6s (16.4%)

bsearch5.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.9s (18.3%)

Profiling