Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample80.0ms (1.4%)

Algorithm

1×

intervals

Results

44.0ms	116×	body	1024	valid
17.0ms	78×	body	512	valid
7.0ms	12×	body	2048	valid
4.0ms	30×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify345.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (240.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (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

58.4b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.9b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_2806`
52×	`add-sqr-sqrt_binary64_2828`
48×	`times-frac_binary64_2812`
30×	`log-prod_binary64_2892`
25×	`add-cube-cbrt_binary64_2841`
18×	`difference-of-squares_binary64_2775`
13×	`distribute-lft-out_binary64_2757`
9×	`distribute-lft-out--_binary64_2758`
7×	`add-exp-log_binary64_2844`
6×	`associate-/r*_binary64_2750`
4×	`add-cbrt-cube_binary64_2842` `associate-/r/_binary64_2752` `associate-/l*_binary64_2751`
3×	`pow1_binary64_2867`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `div-exp_binary64_2857` `flip3--_binary64_2810` `rem-log-exp_binary64_2847` `add-log-exp_binary64_2845` `flip--_binary64_2781`
1×	`log-div_binary64_2893` `cbrt-undiv_binary64_2840` `flip-+_binary64_2780` `flip3-+_binary64_2809` `clear-num_binary64_2805` `log-pow_binary64_2895` `frac-2neg_binary64_2817`

Counts

2 → 91

Calls

2 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series67.0ms (1.2%)

Counts

2 → 14

Calls

2 calls:

40.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
27.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 198 to 192 computations (3% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5617	1927

prune137.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Error

Counts

106 → 3

Compiler

Compiled 1801 to 1432 computations (20.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 2/7 (pow.f64 x 7))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_2828`
19×	`add-exp-log_binary64_2844`
18×	`associate-l_binary64_2747`
17×	`associate-r_binary64_2746`
14×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
12×	`unpow-prod-down_binary64_2885`
10×	`add-cbrt-cube_binary64_2842` `unswap-sqr_binary64_2774`
9×	`prod-exp_binary64_2855`
6×	`add-log-exp_binary64_2845` `sqr-pow_binary64_2778`
4×	`cube-prod_binary64_2834` `pow1_binary64_2867`
3×	`pow-exp_binary64_2874` `*-commutative_binary64_2737` `pow-to-exp_binary64_2875` `cbrt-unprod_binary64_2839`
1×	`unpow3_binary64_2872` `flip-+_binary64_2780` `sum-log_binary64_2897` `flip3-+_binary64_2809` `cube-mult_binary64_2836` `+-commutative_binary64_2736`

Counts

4 → 92

Calls

4 calls:

7.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
6.0ms	(*.f64 2/7 (pow.f64 x 7))

series222.0ms (3.8%)

Counts

4 → 15

Calls

4 calls:

97.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
51.0ms	(*.f64 2/7 (pow.f64 x 7))
37.0ms	(*.f64 2/5 (pow.f64 x 5))
36.0ms	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 603 to 498 computations (17.4% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5325	1197

prune160.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Error

Counts

110 → 3

Compiler

Compiled 2967 to 2228 computations (24.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
5.9b	(log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
6.0b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

124×	`*-un-lft-identity_binary64_2806`
95×	`add-sqr-sqrt_binary64_2828`
84×	`times-frac_binary64_2812`
60×	`sqrt-prod_binary64_2822`
55×	`log-prod_binary64_2892`
49×	`add-cube-cbrt_binary64_2841`
30×	`difference-of-squares_binary64_2775`
15×	`distribute-lft-out_binary64_2757` `distribute-lft-out--_binary64_2758`
10×	`add-exp-log_binary64_2844`
8×	`pow1_binary64_2867`
7×	`associate-/l*_binary64_2751`
6×	`sqrt-div_binary64_2823` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750`
4×	`add-log-exp_binary64_2845` `associate-/r/_binary64_2752` `log-pow_binary64_2895`
3×	`log-div_binary64_2893` `rem-log-exp_binary64_2847` `flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`associate-/l/_binary64_2753` `pow1/2_binary64_2886` `div-inv_binary64_2803` `div-exp_binary64_2857` `flip3--_binary64_2810` `sqrt-pow1_binary64_2824` `flip--_binary64_2781`
1×	`cbrt-undiv_binary64_2840` `rem-sqrt-square_binary64_2819` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 166

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
10.0ms	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.0ms	(sqrt.f64 (+.f64 1 x))

series110.0ms (1.9%)

Counts

4 → 24

Calls

4 calls:

41.0ms	(log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
26.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
24.0ms	(/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))
18.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 641 to 560 computations (12.6% saved)

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5037	3755

prune285.0ms (4.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	190	3	193

Error

Counts

193 → 3

Compiler

Compiled 4565 to 3726 computations (18.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.9b	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
5.9b	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

158×	`*-un-lft-identity_binary64_2806`
106×	`add-sqr-sqrt_binary64_2828`
96×	`times-frac_binary64_2812`
66×	`log-prod_binary64_2892`
60×	`sqrt-prod_binary64_2822`
52×	`add-cube-cbrt_binary64_2841`
36×	`difference-of-squares_binary64_2775`
26×	`distribute-lft-out_binary64_2757`
18×	`distribute-lft-out--_binary64_2758`
12×	`associate-/r*_binary64_2750`
10×	`add-exp-log_binary64_2844`
8×	`add-cbrt-cube_binary64_2842` `associate-/r/_binary64_2752` `associate-/l*_binary64_2751` `pow1_binary64_2867`
6×	`log-pow_binary64_2895`
4×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `flip3--_binary64_2810` `add-log-exp_binary64_2845` `flip--_binary64_2781`
2×	`sqrt-div_binary64_2823` `pow1/2_binary64_2886` `div-exp_binary64_2857` `log-div_binary64_2893` `cbrt-undiv_binary64_2840` `sqrt-pow1_binary64_2824` `rem-log-exp_binary64_2847` `flip-+_binary64_2780` `flip3-+_binary64_2809` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 190

Calls

4 calls:

10.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
10.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series161.0ms (2.8%)

Counts

4 → 28

Calls

4 calls:

53.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
50.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
29.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
28.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 780 to 696 computations (10.8% saved)

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5401	4364

prune360.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	218	3	221

Error

Counts

221 → 3

Compiler

Compiled 6090 to 4908 computations (19.4% saved)

regimes195.0ms (3.4%)

Accuracy

Total 0.1b remaining (98.7%)

Threshold costs 0.1b (98.7%)

Compiler

Compiled 2331 to 2006 computations (13.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	34
1	27	34

end0.0ms (0%)

sample3.1s (53.6%)

Algorithm

1×

intervals

Results

1.5s	4016×	body	1024	valid
469.0ms	2099×	body	512	valid
194.0ms	352×	body	2048	valid
127.0ms	989×	body	256	valid
35.0ms	544×	body	128	valid

Compiler

Compiled 559 to 481 computations (14% saved)

Details

analyze5.0ms (0.1%)

sample80.0ms (1.4%)

simplify345.0ms (6%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite25.0ms (0.4%)

series67.0ms (1.2%)

simplify75.0ms (1.3%)

prune137.0ms (2.4%)

localize14.0ms (0.2%)

rewrite32.0ms (0.6%)

series222.0ms (3.8%)

simplify73.0ms (1.3%)

prune160.0ms (2.8%)

localize12.0ms (0.2%)

rewrite47.0ms (0.8%)

series110.0ms (1.9%)

simplify98.0ms (1.7%)

prune285.0ms (4.9%)

localize9.0ms (0.2%)

rewrite59.0ms (1%)

series161.0ms (2.8%)

simplify96.0ms (1.7%)

prune360.0ms (6.2%)

regimes195.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (53.6%)

Profiling