Details

analyze1.0s (7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample79.0ms (0.6%)

Algorithm

1×

intervals

Results

40.0ms	111×	body	2048	valid
18.0ms	76×	body	1024	valid
7.0ms	39×	body	512	valid
2.0ms	19×	body	256	valid
1.0ms	11×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify240.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune4.0ms (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: 0.3b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
4×	`add-sqr-sqrt_binary64_2828`
3×	`associate-l_binary64_2747` `*-un-lft-identity_binary64_2806` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `add-cube-cbrt_binary64_2841` `pow-prod-down_binary64_2877`
2×	`add-log-exp_binary64_2845`
1×	`acos-asin_binary64_2987` `-commutative_binary64_2737` `associate-r*_binary64_2746` `unswap-sqr_binary64_2774`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series39.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 5 (.f64 v v))
14.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5447	456

prune93.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	24	9	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	10	34

Merged error: 0.3b

Counts

34 → 10

Compiler

Compiled 802 to 528 computations (34.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 125 (pow.f64 v 6))
0.3b	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 125 (pow.f64 v 6)))) (-.f64 (.f64 v v) 1)))
24.2b	(cbrt.f64 (*.f64 125 (pow.f64 v 6)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_2828`
8×	`add-exp-log_binary64_2844`
7×	`associate-r_binary64_2746`
6×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
5×	`add-cbrt-cube_binary64_2842`
4×	`unpow-prod-down_binary64_2885`
3×	`associate-l_binary64_2747` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `pow1_binary64_2867` `unswap-sqr_binary64_2774`
2×	`sqr-pow_binary64_2778`
1×	`pow-exp_binary64_2874` `acos-asin_binary64_2987` `pow1/3_binary64_2888` `*-commutative_binary64_2737` `pow-to-exp_binary64_2875` `cbrt-unprod_binary64_2839` `cbrt-prod_binary64_2837`

Counts

3 → 42

Calls

3 calls:

6.0ms	(*.f64 125 (pow.f64 v 6))
3.0ms	(cbrt.f64 (*.f64 125 (pow.f64 v 6)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 125 (pow.f64 v 6)))) (-.f64 (.f64 v v) 1)))

series78.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(*.f64 125 (pow.f64 v 6))
30.0ms	(cbrt.f64 (*.f64 125 (pow.f64 v 6)))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 125 (pow.f64 v 6)))) (-.f64 (.f64 v v) 1)))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4923	667
1	4923	667

prune298.0ms (2.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	42	9	51
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	43	18	61

Merged error: 0.3b

Counts

61 → 18

Compiler

Compiled 1399 to 1068 computations (23.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125)))
0.1b	(*.f64 (pow.f64 v 6) (sqrt.f64 125))
0.3b	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125))))) (-.f64 (*.f64 v v) 1)))
24.2b	(cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125))))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2828`
19×	`add-exp-log_binary64_2844`
13×	`associate-l_binary64_2747`
11×	`add-cbrt-cube_binary64_2842`
10×	`*-un-lft-identity_binary64_2806` `prod-exp_binary64_2855` `add-cube-cbrt_binary64_2841`
9×	`sqrt-prod_binary64_2822`
7×	`associate-r_binary64_2746`
6×	`pow1_binary64_2867` `unswap-sqr_binary64_2774`
5×	`unpow-prod-down_binary64_2885`
4×	`cbrt-unprod_binary64_2839` `add-log-exp_binary64_2845`
3×	`sqr-pow_binary64_2778`
2×	`pow-exp_binary64_2874` `*-commutative_binary64_2737` `pow-to-exp_binary64_2875`
1×	`acos-asin_binary64_2987` `pow1/3_binary64_2888` `cbrt-prod_binary64_2837` `pow-prod-down_binary64_2877`

Counts

4 → 70

Calls

4 calls:

9.0ms	(.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125)))
7.0ms	(*.f64 (pow.f64 v 6) (sqrt.f64 125))
6.0ms	(cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125))))) (-.f64 (*.f64 v v) 1)))

series383.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125))))
64.0ms	(.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125)))
63.0ms	(*.f64 (pow.f64 v 6) (sqrt.f64 125))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (pow.f64 v 6) (sqrt.f64 125))))) (-.f64 (*.f64 v v) 1)))

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4991	1086
1	4991	1086

prune740.0ms (5.2%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	72	10	82
Fresh	6	9	15
Picked	0	1	1
Done	0	2	2
Total	78	22	100

Merged error: 0.3b

Counts

100 → 22

Compiler

Compiled 2297 to 1828 computations (20.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))) (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))))))) (-.f64 (*.f64 v v) 1)))
12.1b	(sqrt.f64 (pow.f64 v 6))
12.1b	(sqrt.f64 (pow.f64 v 6))
24.2b	(cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))) (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))))))

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`sqrt-prod_binary64_2822`
12×	`add-sqr-sqrt_binary64_2828`
8×	`*-un-lft-identity_binary64_2806` `unpow-prod-down_binary64_2885` `add-cube-cbrt_binary64_2841`
6×	`rem-sqrt-square_binary64_2819`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `sqr-pow_binary64_2778` `pow1_binary64_2867`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
1×	`acos-asin_binary64_2987` `pow1/3_binary64_2888` `cbrt-prod_binary64_2837`

Counts

4 → 55

Calls

4 calls:

23.0ms	(cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))) (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))))))
5.0ms	(sqrt.f64 (pow.f64 v 6))
5.0ms	(sqrt.f64 (pow.f64 v 6))
2.0ms	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))) (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))))))) (-.f64 (*.f64 v v) 1)))

series242.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))) (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))))))
28.0ms	(acos.f64 (/.f64 (-.f64 1 (cbrt.f64 (.f64 (sqrt.f64 125) (.f64 (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))) (.f64 (sqrt.f64 (sqrt.f64 125)) (sqrt.f64 (pow.f64 v 6))))))) (-.f64 (*.f64 v v) 1)))
26.0ms	(sqrt.f64 (pow.f64 v 6))
24.0ms	(sqrt.f64 (pow.f64 v 6))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4829	737
1	4829	737

prune752.0ms (5.3%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	1	17	18
Picked	0	1	1
Done	0	3	3
Total	62	27	89

Merged error: 0.3b

Counts

89 → 27

Compiler

Compiled 1968 to 1606 computations (18.4% saved)

regimes1.3s (9.2%)

Compiler: Compiled 13037 to 11186 computations (14.2% saved)

bsearch1.6s (11.1%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	53
1	47	53

end0.0ms (0%)

sample6.9s (48.6%)

Algorithm

1×

intervals

Results

1.5s	4027×	body	2048	valid
526.0ms	1979×	body	1024	valid
206.0ms	1019×	body	512	valid
60.0ms	475×	body	256	valid
35.0ms	500×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 3109 to 2697 computations (13.3% saved)

Pareto

Details

analyze1.0s (7%)

sample79.0ms (0.6%)

simplify240.0ms (1.7%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite9.0ms (0.1%)

series39.0ms (0.3%)

simplify80.0ms (0.6%)

prune93.0ms (0.6%)

localize11.0ms (0.1%)

rewrite13.0ms (0.1%)

series78.0ms (0.5%)

simplify79.0ms (0.6%)

prune298.0ms (2.1%)

localize17.0ms (0.1%)

rewrite30.0ms (0.2%)

series383.0ms (2.7%)

simplify111.0ms (0.8%)

prune740.0ms (5.2%)

localize21.0ms (0.1%)

rewrite40.0ms (0.3%)

series242.0ms (1.7%)

simplify79.0ms (0.6%)

prune752.0ms (5.3%)

regimes1.3s (9.2%)

bsearch1.6s (11.1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.9s (48.6%)

Profiling