Details

analyze607.0ms (7.8%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
18.7%	76.5%	4.8%	7
28.1%	66.3%	5.6%	8
35.1%	55%	9.9%	9
36.3%	50.9%	12.8%	10
42.1%	42.4%	15.5%	11
47.5%	33.8%	18.7%	12
48.8%	30.7%	20.6%	13
51.8%	25.6%	22.5%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample45.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	36×	body	2048	valid
7.0ms	158×	body	128	valid
4.0ms	23×	body	1024	valid
3.0ms	11×	body	4096	valid
3.0ms	22×	body	512	valid
1.0ms	25×	body	128	nan
0.0ms	6×	body	256	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify168.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	714	18
1	714	18

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

39.5b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
2.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
26.8b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite143.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

39.3b

Rules

38×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `sqrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`pow1_binary64` `distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`associate-/r*_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 86

Calls

4 calls:

20.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
6.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2014 to 333 computations (83.5% saved)

series624.0ms (8%)

Error

7.9b

Counts

4 → 66

Calls

4 calls:

168.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
139.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
138.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
130.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2497 to 1781 computations (28.7% saved)

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4947	2865
1	4947	2865

prune122.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	140	12	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	12	153

Error

7.9b

Counts

153 → 12

Compiler

Compiled 2727 to 608 computations (77.7% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 -1/2 (/.f64 c b_2))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 373 to 195 computations (47.7% saved)

series62.0ms (0.8%)

Error

7.9b

Counts

1 → 6

Calls

1 calls:

59.0ms

(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 90 to 88 computations (2.2% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5015	369

prune44.0ms (0.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	32	18	50

Error

7.9b

Counts

50 → 18

Compiler

Compiled 599 to 351 computations (41.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b_2) (cbrt.f64 b_2))
0.6b	(cbrt.f64 b_2)
0.6b	(cbrt.f64 b_2)
0.6b	(cbrt.f64 b_2)

rewrite74.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 b_2) (cbrt.f64 b_2))
1.0ms	(cbrt.f64 b_2)
1.0ms	(cbrt.f64 b_2)
1.0ms	(cbrt.f64 b_2)

Compiler

Compiled 1232 to 392 computations (68.2% saved)

series329.0ms (4.2%)

Error

7.9b

Counts

4 → 12

Calls

4 calls:

89.0ms	(*.f64 (cbrt.f64 b_2) (cbrt.f64 b_2))
83.0ms	(cbrt.f64 b_2)
76.0ms	(cbrt.f64 b_2)
70.0ms	(cbrt.f64 b_2)

Compiler

Compiled 519 to 411 computations (20.8% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune84.0ms (1.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	5	11	16
Picked	1	0	1
Done	0	1	1
Total	86	17	103

Error

7.9b

Counts

103 → 17

Compiler

Compiled 1465 to 655 computations (55.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b_2)
0.6b	(cbrt.f64 b_2)
0.6b	(cbrt.f64 b_2)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)

rewrite74.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

18×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)
1.0ms	(cbrt.f64 b_2)
1.0ms	(cbrt.f64 b_2)
1.0ms	(cbrt.f64 b_2)

Compiler

Compiled 1427 to 524 computations (63.3% saved)

series387.0ms (5%)

Error

7.9b

Counts

4 → 12

Calls

4 calls:

137.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 b_2)) 4)
82.0ms	(cbrt.f64 b_2)
79.0ms	(cbrt.f64 b_2)
77.0ms	(cbrt.f64 b_2)

Compiler

Compiled 813 to 553 computations (32% saved)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4961	535
1	4961	535

prune71.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	3	12	15
Picked	1	0	1
Done	0	1	1
Total	72	14	86

Error

7.9b

Counts

86 → 14

Compiler

Compiled 1598 to 620 computations (61.2% saved)

regimes1.5s (19.7%)

Accuracy

Total 6.3b remaining (53.9%)

Threshold costs 0b (0%)

Compiler

Compiled 7964 to 5074 computations (36.3% saved)

bsearch65.0ms (0.8%)

Steps

Iters	Range		Point
8	9.568152868182076e-141	2.4530674776245233e-136	2.404015877236171e-136
10	-8.361807200719191e-19	-1.956389563898498e-29	-8.28689118119158e-19

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	56
1	91	56

end0.0ms (0%)

sample3.0s (38.3%)

Algorithm

1×

intervals

Results

237.0ms	1163×	body	2048	valid
235.0ms	5132×	body	128	valid
116.0ms	732×	body	1024	valid
103.0ms	416×	body	4096	valid
50.0ms	378×	body	512	valid
30.0ms	749×	body	128	nan
14.0ms	179×	body	256	valid
11.0ms	249×	body	128	invalid

Compiler

Compiled 2035 to 1299 computations (36.2% saved)

Details

analyze607.0ms (7.8%)

sample45.0ms (0.6%)

simplify168.0ms (2.2%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite143.0ms (1.8%)

series624.0ms (8%)

simplify95.0ms (1.2%)

prune122.0ms (1.6%)

localize3.0ms (0%)

rewrite34.0ms (0.4%)

series62.0ms (0.8%)

simplify97.0ms (1.2%)

prune44.0ms (0.6%)

localize7.0ms (0.1%)

rewrite74.0ms (1%)

series329.0ms (4.2%)

simplify73.0ms (0.9%)

prune84.0ms (1.1%)

localize12.0ms (0.2%)

rewrite74.0ms (0.9%)

series387.0ms (5%)

simplify42.0ms (0.5%)

prune71.0ms (0.9%)

regimes1.5s (19.7%)

bsearch65.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.0s (38.3%)

Profiling