Details

analyze883.0ms (17.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	78×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify217.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	680	13
1	680	13

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

Merged error: 6.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_13894` `add-sqr-sqrt_binary64_13915`
10×	`add-exp-log_binary64_13929` `add-cbrt-cube_binary64_13927`
7×	`add-cube-cbrt_binary64_13926`
5×	`pow1_binary64_13952` `add-log-exp_binary64_13930` `associate-r_binary64_13836`
4×	`associate-*r/_binary64_13838`
3×	`times-frac_binary64_13900` `associate-/r_binary64_13840` `associate-l*_binary64_13837`
2×	`cbrt-undiv_binary64_13925` `div-exp_binary64_13942` `sub-neg_binary64_13887` `flip3--_binary64_13898` `prod-exp_binary64_13940` `associate-/l/_binary64_13843` `flip--_binary64_13869` `cbrt-unprod_binary64_13924`
1×	`div-inv_binary64_13891` `+-commutative_binary64_13826` `flip-+_binary64_13868` `distribute-lft-out_binary64_13847` `distribute-lft-in_binary64_13845` `associate-/l_binary64_13841` `flip3-+_binary64_13897` `distribute-lft-out--_binary64_13848` `-commutative_binary64_13827` `pow-prod-down_binary64_13962` `frac-2neg_binary64_13905` `clear-num_binary64_13893` `difference-of-squares_binary64_13863` `unswap-sqr_binary64_13862` `distribute-rgt-in_binary64_13846` `sum-log_binary64_13982`

Counts

3 → 59

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
8.0ms	(*.f64 y (-.f64 z t))
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series306.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
116.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
68.0ms	(*.f64 y (-.f64 z t))

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	847
1	4970	847

prune56.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

Compiler

Compiled 979 to 280 computations (71.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
5.5b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite61.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_13900`
105×	`*-un-lft-identity_binary64_13894`
103×	`add-sqr-sqrt_binary64_13915`
71×	`add-cube-cbrt_binary64_13926`
26×	`associate-/r*_binary64_13840`
16×	`distribute-lft-out--_binary64_13848` `difference-of-squares_binary64_13863`
11×	`associate-/r/_binary64_13842`
10×	`add-exp-log_binary64_13929` `add-cbrt-cube_binary64_13927`
6×	`div-inv_binary64_13891` `associate-/l*_binary64_13841`
5×	`flip3--_binary64_13898` `add-log-exp_binary64_13930` `flip--_binary64_13869`
4×	`cbrt-undiv_binary64_13925` `div-exp_binary64_13942`
3×	`pow1_binary64_13952`
2×	`frac-2neg_binary64_13905` `clear-num_binary64_13893`
1×	`+-commutative_binary64_13826` `flip-+_binary64_13868` `distribute-lft-out_binary64_13847` `flip3-+_binary64_13897` `sum-log_binary64_13982`

Counts

3 → 151

Calls

3 calls:

25.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
13.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms	(/.f64 a (-.f64 z t))

series306.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

126.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
110.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
70.0ms	(/.f64 a (-.f64 z t))

simplify103.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5263	3116

prune113.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	161	5	166

Merged error: 0b

Counts

166 → 5

Compiler

Compiled 2841 to 600 computations (78.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(/.f64 y (/.f64 a (cbrt.f64 (-.f64 z t))))
2.7b	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 a (cbrt.f64 (-.f64 z t)))))

rewrite124.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

353×	`times-frac_binary64_13900`
228×	`add-sqr-sqrt_binary64_13915`
219×	`*-un-lft-identity_binary64_13894`
173×	`add-cube-cbrt_binary64_13926`
116×	`cbrt-prod_binary64_13922`
95×	`associate-r_binary64_13836`
42×	`cbrt-div_binary64_13923`
30×	`add-exp-log_binary64_13929` `associate-/r*_binary64_13840`
23×	`distribute-lft-out--_binary64_13848` `difference-of-squares_binary64_13863`
21×	`flip3--_binary64_13898` `flip--_binary64_13869` `add-cbrt-cube_binary64_13927`
16×	`frac-times_binary64_13904` `associate-/r/_binary64_13842`
12×	`associate-*l/_binary64_13839`
9×	`cbrt-undiv_binary64_13925` `div-inv_binary64_13891` `pow1_binary64_13952` `div-exp_binary64_13942` `prod-exp_binary64_13940` `cbrt-unprod_binary64_13924`
5×	`associate-*r/_binary64_13838`
4×	`add-log-exp_binary64_13930` `unswap-sqr_binary64_13862`
3×	`associate-/l*_binary64_13841` `pow-prod-down_binary64_13962`
2×	`pow1/3_binary64_13973`
1×	`-commutative_binary64_13827` `frac-2neg_binary64_13905` `clear-num_binary64_13893` `associate-l*_binary64_13837`

Counts

4 → 307

Calls

4 calls:

48.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 a (cbrt.f64 (-.f64 z t)))))
14.0ms	(/.f64 y (/.f64 a (cbrt.f64 (-.f64 z t))))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))

series780.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(/.f64 y (/.f64 a (cbrt.f64 (-.f64 z t))))
220.0ms	(cbrt.f64 (-.f64 z t))
215.0ms	(cbrt.f64 (-.f64 z t))
122.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 a (cbrt.f64 (-.f64 z t)))))

simplify167.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4929	8062
1	4929	8062

prune302.0ms (6.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	319	5	324

Merged error: 0b

Counts

324 → 5

Compiler

Compiled 9359 to 1892 computations (79.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
5.4b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_13915`
13×	`associate-l_binary64_13837`
12×	`*-un-lft-identity_binary64_13894`
10×	`times-frac_binary64_13900` `add-cube-cbrt_binary64_13926`
7×	`add-exp-log_binary64_13929` `add-cbrt-cube_binary64_13927`
5×	`associate-r_binary64_13836`
4×	`pow1_binary64_13952` `sub-neg_binary64_13887` `add-log-exp_binary64_13930`
2×	`frac-times_binary64_13904` `associate-+r+_binary64_13828` `distribute-lft-in_binary64_13845` `associate-*r/_binary64_13838` `flip3--_binary64_13898` `prod-exp_binary64_13940` `flip--_binary64_13869` `cbrt-unprod_binary64_13924` `unswap-sqr_binary64_13862` `distribute-rgt-in_binary64_13846`
1×	`cbrt-undiv_binary64_13925` `div-inv_binary64_13891` `+-commutative_binary64_13826` `flip-+_binary64_13868` `div-exp_binary64_13942` `associate-l/_binary64_13839` `flip3-+_binary64_13897` `distribute-lft-out--_binary64_13848` `-commutative_binary64_13827` `pow-prod-down_binary64_13962` `difference-of-squares_binary64_13863` `sum-log_binary64_13982`

Counts

2 → 53

Calls

2 calls:

12.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
4.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

series252.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

142.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
110.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5009	866

prune37.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0b

Counts

64 → 5

Compiler

Compiled 891 to 213 computations (76.1% saved)

regimes109.0ms (2.2%)

Compiler: Compiled 432 to 426 computations (1.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	66
1	42	66

end0.0ms (0%)

sample865.0ms (17.6%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
87.0ms	2628×	body	128	invalid

Compiler

Compiled 150 to 110 computations (26.7% saved)

Details

analyze883.0ms (17.9%)

sample25.0ms (0.5%)

simplify217.0ms (4.4%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite26.0ms (0.5%)

series306.0ms (6.2%)

simplify53.0ms (1.1%)

prune56.0ms (1.1%)

localize8.0ms (0.2%)

rewrite61.0ms (1.2%)

series306.0ms (6.2%)

simplify103.0ms (2.1%)

prune113.0ms (2.3%)

localize14.0ms (0.3%)

rewrite124.0ms (2.5%)

series780.0ms (15.8%)

simplify167.0ms (3.4%)

prune302.0ms (6.1%)

localize7.0ms (0.2%)

rewrite20.0ms (0.4%)

series252.0ms (5.1%)

simplify79.0ms (1.6%)

prune37.0ms (0.8%)

regimes109.0ms (2.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample865.0ms (17.6%)

Profiling