Details

analyze1.8s (15.2%)

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)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify151.0ms (1.3%)

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

14.8b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
4.0b	(/.f64 (*.f64 y b) t)
4.7b	(/.f64 (*.f64 y z) t)
11.2b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite68.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_12013`
26×	`times-frac_binary64_12019`
22×	`distribute-lft-out_binary64_11964`
19×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048`
16×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
11×	`associate-/r*_binary64_11957`
6×	`add-log-exp_binary64_12052` `associate-/l*_binary64_11958`
5×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047`
4×	`associate-/r/_binary64_11959` `flip3-+_binary64_12016` `flip-+_binary64_11987` `pow1_binary64_12074`
3×	`clear-num_binary64_12012` `div-inv_binary64_12010` `frac-2neg_binary64_12024`
2×	`frac-add_binary64_12021` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `associate-/l/_binary64_11960`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104`

Counts

4 → 101

Calls

4 calls:

26.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
9.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
9.0ms	(/.f64 (*.f64 y z) t)
8.0ms	(/.f64 (*.f64 y b) t)

series306.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
49.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
32.0ms	(/.f64 (*.f64 y z) t)
24.0ms	(/.f64 (*.f64 y b) t)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5279	2363

prune252.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	101	12	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	12	114

Error

9.7b

Counts

114 → 12

Compiler

Compiled 2935 to 1011 computations (65.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 z t)))
4.0b	(/.f64 (*.f64 y b) t)
5.7b	(*.f64 y (/.f64 z t))
11.2b	(/.f64 (+.f64 x (.f64 y (/.f64 z t))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite68.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_12013`
29×	`add-sqr-sqrt_binary64_12035`
28×	`times-frac_binary64_12019`
24×	`add-cube-cbrt_binary64_12048`
16×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
13×	`associate-r_binary64_11953`
12×	`distribute-lft-out_binary64_11964`
8×	`associate-/r*_binary64_11957`
6×	`add-log-exp_binary64_12052` `pow1_binary64_12074`
4×	`associate-/r/_binary64_11959` `flip3-+_binary64_12016` `div-exp_binary64_12064` `flip-+_binary64_11987` `cbrt-undiv_binary64_12047` `associate-/l*_binary64_11958`
3×	`associate-l_binary64_11954` `div-inv_binary64_12010` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062`
2×	`frac-add_binary64_12021` `clear-num_binary64_12012` `unswap-sqr_binary64_11981` `frac-2neg_binary64_12024` `associate-/l/_binary64_11960`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `-commutative_binary64_11944` `pow-prod-down_binary64_12084` `associate-r/_binary64_11955`

Counts

4 → 105

Calls

4 calls:

23.0ms	(/.f64 (+.f64 x (.f64 y (/.f64 z t))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
14.0ms	(*.f64 y (/.f64 z t))
8.0ms	(/.f64 (*.f64 y b) t)
6.0ms	(+.f64 x (*.f64 y (/.f64 z t)))

series351.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

250.0ms	(/.f64 (+.f64 x (.f64 y (/.f64 z t))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
36.0ms	(*.f64 y (/.f64 z t))
32.0ms	(+.f64 x (*.f64 y (/.f64 z t)))
32.0ms	(/.f64 (*.f64 y b) t)

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5002	2272

prune194.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	118	11	129

Error

9.0b

Counts

129 → 11

Compiler

Compiled 3031 to 1028 computations (66.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 z t)))
4.6b	(/.f64 y (/.f64 t b))
5.7b	(*.f64 y (/.f64 z t))
11.2b	(/.f64 (+.f64 x (*.f64 y (/.f64 z t))) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))

rewrite71.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`times-frac_binary64_12019`
84×	`*-un-lft-identity_binary64_12013`
69×	`add-sqr-sqrt_binary64_12035`
64×	`add-cube-cbrt_binary64_12048`
18×	`associate-/r*_binary64_11957`
16×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
13×	`associate-r_binary64_11953`
12×	`distribute-lft-out_binary64_11964`
7×	`div-inv_binary64_12010`
6×	`add-log-exp_binary64_12052` `pow1_binary64_12074` `associate-/l*_binary64_11958`
5×	`associate-/r/_binary64_11959` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047`
4×	`flip3-+_binary64_12016` `flip-+_binary64_11987`
3×	`associate-l_binary64_11954`
2×	`frac-add_binary64_12021` `clear-num_binary64_12012` `unswap-sqr_binary64_11981` `frac-2neg_binary64_12024` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `associate-/l/_binary64_11960`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `-commutative_binary64_11944` `pow-prod-down_binary64_12084` `associate-r/_binary64_11955`

Counts

4 → 154

Calls

4 calls:

40.0ms	(/.f64 (+.f64 x (*.f64 y (/.f64 z t))) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))
8.0ms	(*.f64 y (/.f64 z t))
6.0ms	(/.f64 y (/.f64 t b))
3.0ms	(+.f64 x (*.f64 y (/.f64 z t)))

series263.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(/.f64 (+.f64 x (*.f64 y (/.f64 z t))) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))
35.0ms	(+.f64 x (*.f64 y (/.f64 z t)))
32.0ms	(*.f64 y (/.f64 z t))
23.0ms	(/.f64 y (/.f64 t b))

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4975	3255
1	4975	3255

prune245.0ms (2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	165	12	177

Error

7.8b

Counts

177 → 12

Compiler

Compiled 4360 to 1370 computations (68.6% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.3b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (.f64 (cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t))) (cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))))
9.4b	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
9.4b	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
9.4b	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite94.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-div_binary64_12045`
28×	`*-un-lft-identity_binary64_12013`
27×	`flip3-+_binary64_12016` `flip-+_binary64_11987`
26×	`frac-add_binary64_12021`
24×	`associate-/r/_binary64_11959`
16×	`frac-times_binary64_12023`
15×	`cbrt-prod_binary64_12044`
11×	`distribute-lft-out_binary64_11964`
9×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `add-exp-log_binary64_12051`
7×	`add-cbrt-cube_binary64_12049`
4×	`times-frac_binary64_12019` `add-log-exp_binary64_12052` `pow1_binary64_12074` `associate-l/_binary64_11956` `associate-/l_binary64_11958` `associate-*r/_binary64_11955`
3×	`pow1/3_binary64_12095`
2×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `associate-/l/_binary64_11960`
1×	`associate-/r*_binary64_11957` `clear-num_binary64_12012` `div-inv_binary64_12010` `frac-2neg_binary64_12024` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062`

Counts

4 → 100

Calls

4 calls:

25.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (.f64 (cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t))) (cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))))
12.0ms	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
12.0ms	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
12.0ms	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

series2.9s (24.5%)

Counts

4 → 12

Calls

4 calls:

2.4s	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (.f64 (cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t))) (cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))))
203.0ms	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
172.0ms	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
162.0ms	(cbrt.f64 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5017	4334

prune280.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	112	12	124

Error

7.8b

Counts

124 → 12

Compiler

Compiled 6165 to 2632 computations (57.3% saved)

regimes1.6s (13.6%)

Accuracy

Total 5.3b remaining (36.3%)

Threshold costs 0b (0%)

Compiler

Compiled 11940 to 8727 computations (26.9% saved)

bsearch4.0ms (0%)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	223
1	79	223

end0.0ms (0%)

sample2.7s (22.3%)

Algorithm

1×

intervals

Results

600.0ms	8000×	body	128	valid
19.0ms	262×	body	128	invalid

Compiler

Compiled 1683 to 1186 computations (29.5% saved)

Details

analyze1.8s (15.2%)

sample40.0ms (0.3%)

simplify151.0ms (1.3%)

prune5.0ms (0%)

localize26.0ms (0.2%)

rewrite68.0ms (0.6%)

series306.0ms (2.5%)

simplify85.0ms (0.7%)

prune252.0ms (2.1%)

localize26.0ms (0.2%)

rewrite68.0ms (0.6%)

series351.0ms (2.9%)

simplify102.0ms (0.8%)

prune194.0ms (1.6%)

localize23.0ms (0.2%)

rewrite71.0ms (0.6%)

series263.0ms (2.2%)

simplify137.0ms (1.1%)

prune245.0ms (2%)

localize38.0ms (0.3%)

rewrite94.0ms (0.8%)

series2.9s (24.5%)

simplify101.0ms (0.8%)

prune280.0ms (2.3%)

regimes1.6s (13.6%)

bsearch4.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.7s (22.3%)

Profiling