Details

analyze618.0ms (20.9%)

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	59×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify96.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (0.1%)

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

9.8b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

9.5b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
1×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `div-inv_binary64_2803` `associate-/r_binary64_2750` `-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series32.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5076	280

prune23.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	5	25

Error

0.0b

Counts

25 → 5

Compiler

Compiled 273 to 90 computations (67% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.9b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
4.9b	(*.f64 a2 (/.f64 a1 b1))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2828`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
13×	`times-frac_binary64_2812` `associate-r_binary64_2746`
12×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
5×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
4×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-/r*_binary64_2750`
2×	`div-inv_binary64_2803` `add-log-exp_binary64_2845` `associate-*r/_binary64_2748` `unswap-sqr_binary64_2774`
1×	`associate-/l/_binary64_2753` `-commutative_binary64_2737` `clear-num_binary64_2805` `associate-/l_binary64_2751` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

2 → 56

Calls

2 calls:

9.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
7.0ms	(*.f64 a2 (/.f64 a1 b1))

series52.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
20.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify79.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4965	668
1	4965	668

prune45.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Error

0.0b

Counts

67 → 8

Compiler

Compiled 748 to 228 computations (69.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.9b	(/.f64 (.f64 (.f64 a2 a1) (/.f64 1 b1)) b2)
5.1b	(.f64 (.f64 a2 a1) (/.f64 1 b1))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-exp-log_binary64_2844`
32×	`add-cbrt-cube_binary64_2842`
24×	`prod-exp_binary64_2855`
17×	`div-exp_binary64_2857`
13×	`associate-r_binary64_2746`
12×	`times-frac_binary64_2812` `cbrt-unprod_binary64_2839`
11×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
9×	`cbrt-undiv_binary64_2840`
7×	`pow1_binary64_2867`
4×	`1-exp_binary64_2850` `rec-exp_binary64_2856`
3×	`associate-/r*_binary64_2750` `pow-prod-down_binary64_2877`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `add-log-exp_binary64_2845` `associate-*r/_binary64_2748` `un-div-inv_binary64_2804`
1×	`associate-l_binary64_2747` `-commutative_binary64_2737` `clear-num_binary64_2805` `associate-/l_binary64_2751` `frac-2neg_binary64_2817`

Counts

2 → 71

Calls

2 calls:

9.0ms	(/.f64 (.f64 (.f64 a2 a1) (/.f64 1 b1)) b2)
9.0ms	(.f64 (.f64 a2 a1) (/.f64 1 b1))

series55.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 (.f64 (.f64 a2 a1) (/.f64 1 b1)) b2)
20.0ms	(.f64 (.f64 a2 a1) (/.f64 1 b1))

simplify88.0ms (3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5027	809

prune43.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Error

0.0b

Counts

85 → 8

Compiler

Compiled 882 to 287 computations (67.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.2b	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
5.4b	(/.f64 (/.f64 a1 b1) b2)

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`times-frac_binary64_2812`
89×	`add-sqr-sqrt_binary64_2828`
80×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
43×	`associate-r_binary64_2746`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
13×	`associate-/l*_binary64_2751`
9×	`div-inv_binary64_2803`
6×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
4×	`pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-/r*_binary64_2750` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774`
2×	`add-log-exp_binary64_2845`
1×	`associate-/l/_binary64_2753` `-commutative_binary64_2737` `clear-num_binary64_2805` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

2 → 135

Calls

2 calls:

18.0ms	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
7.0ms	(/.f64 (/.f64 a1 b1) b2)

series55.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
20.0ms	(/.f64 (/.f64 a1 b1) b2)

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4992	2193
1	4992	2193

prune89.0ms (3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	140	9	149

Error

0.0b

Counts

149 → 9

Compiler

Compiled 2102 to 423 computations (79.9% saved)

regimes518.0ms (17.5%)

Accuracy

Total 3.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 2067 to 1685 computations (18.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	122
1	36	122

end0.0ms (0%)

sample865.0ms (29.2%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
56.0ms	1894×	body	128	invalid

Compiler

Compiled 348 to 250 computations (28.2% saved)

Details

analyze618.0ms (20.9%)

sample19.0ms (0.6%)

simplify96.0ms (3.2%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite7.0ms (0.2%)

series32.0ms (1.1%)

simplify73.0ms (2.5%)

prune23.0ms (0.8%)

localize6.0ms (0.2%)

rewrite19.0ms (0.7%)

series52.0ms (1.7%)

simplify79.0ms (2.7%)

prune45.0ms (1.5%)

localize7.0ms (0.2%)

rewrite23.0ms (0.8%)

series55.0ms (1.9%)

simplify88.0ms (3%)

prune43.0ms (1.4%)

localize6.0ms (0.2%)

rewrite37.0ms (1.2%)

series55.0ms (1.9%)

simplify90.0ms (3%)

prune89.0ms (3%)

regimes518.0ms (17.5%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample865.0ms (29.2%)

Profiling