Details

analyze61.0ms (3%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify97.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r_binary64_2750` `associate-/l_binary64_2751`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `add-log-exp_binary64_2845` `clear-num_binary64_2805` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

1 → 27

Calls

1 calls:

3.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series29.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify51.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5220	540

prune29.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Error

Counts

31 → 4

Compiler

Compiled 436 to 99 computations (77.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite18.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_2812`
52×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
16×	`associate-/r*_binary64_2750`
15×	`add-exp-log_binary64_2844`
9×	`add-cbrt-cube_binary64_2842`
8×	`div-exp_binary64_2857`
6×	`div-inv_binary64_2803` `associate-/l*_binary64_2751`
4×	`cbrt-undiv_binary64_2840`
3×	`pow1_binary64_2867`
2×	`1-exp_binary64_2850` `rec-exp_binary64_2856` `add-log-exp_binary64_2845` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`pow-flip_binary64_2880` `inv-pow_binary64_2891` `associate-/r/_binary64_2752`

Counts

2 → 103

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
3.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

series66.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
31.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

simplify85.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4981	2346
1	4981	2346

prune75.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Error

Counts

113 → 4

Compiler

Compiled 1821 to 424 computations (76.7% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.2b	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
14.3b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite23.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_2812`
41×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
32×	`cbrt-prod_binary64_2837`
26×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`div-inv_binary64_2803`
4×	`pow1_binary64_2867`
3×	`associate-/r_binary64_2750` `pow-unpow_binary64_2883` `add-log-exp_binary64_2845` `associate-/l_binary64_2751`
2×	`pow-exp_binary64_2874` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `unpow3_binary64_2872` `sqr-pow_binary64_2778` `cube-mult_binary64_2836` `cube-div_binary64_2835` `rem-cube-cbrt_binary64_2829`
1×	`cbrt-div_binary64_2838` `pow1/3_binary64_2888` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `clear-num_binary64_2805` `rem-cbrt-cube_binary64_2830` `frac-2neg_binary64_2817`

Counts

3 → 115

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
5.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series143.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
31.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
30.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify52.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5418	2387

prune85.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Error

Counts

128 → 4

Compiler

Compiled 1944 to 559 computations (71.2% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))))
4.0b	(log.f64 (exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))))

rewrite36.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64_2812`
78×	`exp-prod_binary64_2858`
77×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
70×	`log-pow_binary64_2895`
20×	`associate-/r*_binary64_2750`
10×	`add-exp-log_binary64_2844` `pow1_binary64_2867`
8×	`div-inv_binary64_2803` `add-cbrt-cube_binary64_2842`
6×	`associate-/l*_binary64_2751`
5×	`add-log-exp_binary64_2845`
3×	`div-exp_binary64_2857` `log-prod_binary64_2892`
2×	`cbrt-undiv_binary64_2840` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`1-exp_binary64_2850` `pow-flip_binary64_2880` `rec-exp_binary64_2856` `rem-log-exp_binary64_2847` `inv-pow_binary64_2891` `rem-exp-log_binary64_2846`

Counts

4 → 160

Calls

4 calls:

11.0ms	(/.f64 1 (log.f64 (exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))))
5.0ms	(log.f64 (exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))))
3.0ms	(exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
3.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

series279.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(/.f64 1 (log.f64 (exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))))
83.0ms	(log.f64 (exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))))
46.0ms	(exp.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
35.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

simplify91.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5055	3457

prune117.0ms (5.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	172	4	176

Error

Counts

176 → 4

Compiler

Compiled 3070 to 750 computations (75.6% saved)

regimes65.0ms (3.2%)

Accuracy

Total 0.0b remaining (93.4%)

Threshold costs 0.0b (93.4%)

Compiler

Compiled 627 to 368 computations (41.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample545.0ms (27.2%)

Algorithm

1×

intervals

Results

193.0ms	8000×	body	128	valid
4.0ms	188×	body	128	invalid

Compiler

Compiled 218 to 131 computations (39.9% saved)

Details

analyze61.0ms (3%)

sample13.0ms (0.6%)

simplify97.0ms (4.9%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite5.0ms (0.2%)

series29.0ms (1.5%)

simplify51.0ms (2.6%)

prune29.0ms (1.4%)

localize7.0ms (0.3%)

rewrite18.0ms (0.9%)

series66.0ms (3.3%)

simplify85.0ms (4.3%)

prune75.0ms (3.7%)

localize9.0ms (0.4%)

rewrite23.0ms (1.2%)

series143.0ms (7.2%)

simplify52.0ms (2.6%)

prune85.0ms (4.2%)

localize10.0ms (0.5%)

rewrite36.0ms (1.8%)

series279.0ms (13.9%)

simplify91.0ms (4.6%)

prune117.0ms (5.9%)

regimes65.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample545.0ms (27.2%)

Profiling