Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

Compiler

Compiled 20 to 16 computations (20% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	198×	body	128	valid
4.0ms	35×	body	1024	valid
4.0ms	256×	pre	128	true
1.0ms	12×	body	512	valid
1.0ms	8×	body	256	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify345.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (244.0ms)

Iter	Nodes	Cost
0	5018	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.0b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.7b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite110.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

13.3b

Rules

58×	`*-un-lft-identity_binary64_2806`
26×	`add-sqr-sqrt_binary64_2828`
25×	`times-frac_binary64_2812`
19×	`distribute-lft-out_binary64_2757`
14×	`add-cube-cbrt_binary64_2841`
6×	`difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`
5×	`associate-/l_binary64_2751` `associate-/r_binary64_2750`
4×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
2×	`pow1_binary64_2867` `flip3-+_binary64_2809` `flip-+_binary64_2780` `div-sub_binary64_2811` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752`
1×	`sum-log_binary64_2897` `associate-+l-_binary64_2741` `+-commutative_binary64_2736` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

2 → 65

Calls

2 calls:

18.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1500 to 803 computations (46.5% saved)

series396.0ms (3.6%)

Error

0.1b

Counts

2 → 40

Calls

2 calls:

195.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
126.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 3196 to 2565 computations (19.7% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5009	3116

prune132.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	5	106

Error

0.0b

Counts

106 → 5

Compiler

Compiled 2817 to 1761 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
0.0b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
1.3b	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
1.6b	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))

rewrite537.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

150×	`*-un-lft-identity_binary64_2806`
76×	`times-frac_binary64_2812`
74×	`add-sqr-sqrt_binary64_2828`
48×	`distribute-lft-out_binary64_2757`
39×	`add-cube-cbrt_binary64_2841`
31×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834` `associate-l_binary64_2747`
15×	`difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`
12×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`add-log-exp_binary64_2845`
7×	`pow1_binary64_2867` `flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`associate-/r/_binary64_2752`
4×	`associate-r_binary64_2746`
3×	`div-inv_binary64_2803` `pow-unpow_binary64_2883`
2×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `div-exp_binary64_2857` `pow-exp_binary64_2874` `rem-cube-cbrt_binary64_2829` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-times_binary64_2816` `unswap-sqr_binary64_2774` `associate-*r/_binary64_2748`
1×	`div-sub_binary64_2811` `associate-+r-_binary64_2740` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `unpow3_binary64_2872` `cube-mult_binary64_2836` `cube-div_binary64_2835` `sqr-pow_binary64_2778` `pow-prod-down_binary64_2877` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-l/_binary64_2749` `-commutative_binary64_2737`

Counts

4 → 164

Calls

4 calls:

31.0ms	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
29.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
16.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
13.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

Compiler

Compiled 8577 to 5266 computations (38.6% saved)

series1.3s (11.6%)

Error

0.0b

Counts

4 → 68

Calls

4 calls:

447.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
286.0ms	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
190.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
185.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

Compiler

Compiled 9295 to 6988 computations (24.8% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5188	7828

prune684.0ms (6.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	232	5	237

Error

Counts

237 → 5

Compiler

Compiled 11947 to 7373 computations (38.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
1.7b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
1.7b	(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))

rewrite192.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_2806`
31×	`add-sqr-sqrt_binary64_2828`
25×	`times-frac_binary64_2812`
21×	`distribute-lft-out_binary64_2757`
19×	`add-cube-cbrt_binary64_2841`
9×	`add-log-exp_binary64_2845`
8×	`exp-prod_binary64_2858`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`
5×	`pow1_binary64_2867` `log-pow_binary64_2895` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
4×	`div-sub_binary64_2811` `log-prod_binary64_2892`
3×	`associate-+r-_binary64_2740`
2×	`exp-diff_binary64_2854` `exp-sum_binary64_2852` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `rem-exp-log_binary64_2846`
1×	`log-div_binary64_2893` `rem-log-exp_binary64_2847` `+-commutative_binary64_2736` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 98

Calls

4 calls:

17.0ms	(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
17.0ms	(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
16.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 2446 to 1592 computations (34.9% saved)

series1.1s (9.7%)

Error

Counts

4 → 80

Calls

4 calls:

316.0ms	(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
263.0ms	(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
195.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
122.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 7558 to 6120 computations (19% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5024	6421

prune484.0ms (4.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	178	5	183

Error

Counts

183 → 5

Compiler

Compiled 5618 to 3722 computations (33.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
1.3b	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
1.6b	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
1.6b	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))

rewrite490.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`*-un-lft-identity_binary64_2806`
26×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
19×	`pow1_binary64_2867`
12×	`add-cube-cbrt_binary64_2841` `sqrt-div_binary64_2823`
11×	`swap-sqr_binary64_2773`
10×	`add-log-exp_binary64_2845`
9×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757`
8×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
7×	`associate-l_binary64_2747` `associate-r_binary64_2746`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`pow-prod-up_binary64_2876`
4×	`frac-times_binary64_2816` `unswap-sqr_binary64_2774`
3×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `pow-sqr_binary64_2779`
2×	`rem-sqrt-square_binary64_2819` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`div-sub_binary64_2811` `associate-+r-_binary64_2740` `pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `sqr-abs_binary64_2821` `rem-square-sqrt_binary64_2818` `*-commutative_binary64_2737`

Counts

4 → 100

Calls

4 calls:

60.0ms	(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
27.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
27.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
20.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))

Compiler

Compiled 7182 to 4689 computations (34.7% saved)

series1.8s (16.5%)

Error

Counts

4 → 65

Calls

4 calls:

464.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
462.0ms	(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
448.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
211.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))

Compiler

Compiled 11756 to 8661 computations (26.3% saved)

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4953	5786
1	4953	5786

prune524.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	165	5	170

Error

Counts

170 → 5

Compiler

Compiled 10436 to 6673 computations (36.1% saved)

regimes559.0ms (5.1%)

Accuracy

Total 0.1b remaining (74.8%)

Threshold costs 0.1b (74.8%)

Compiler

Compiled 7560 to 5568 computations (26.3% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	126
1	79	126

end0.0ms (0%)

sample2.0s (17.8%)

Algorithm

1×

intervals

Results

210.0ms	5943×	body	128	valid
144.0ms	8000×	pre	128	true
132.0ms	1011×	body	1024	valid
57.0ms	597×	body	512	valid
23.0ms	357×	body	256	valid
15.0ms	92×	body	2048	valid

Compiler

Compiled 1510 to 1107 computations (26.7% saved)

Details

analyze3.0ms (0%)

sample28.0ms (0.3%)

simplify345.0ms (3.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite110.0ms (1%)

series396.0ms (3.6%)

simplify75.0ms (0.7%)

prune132.0ms (1.2%)

localize14.0ms (0.1%)

rewrite537.0ms (4.9%)

series1.3s (11.6%)

simplify85.0ms (0.8%)

prune684.0ms (6.2%)

localize11.0ms (0.1%)

rewrite192.0ms (1.7%)

series1.1s (9.7%)

simplify71.0ms (0.6%)

prune484.0ms (4.4%)

localize19.0ms (0.2%)

rewrite490.0ms (4.4%)

series1.8s (16.5%)

simplify116.0ms (1%)

prune524.0ms (4.7%)

regimes559.0ms (5.1%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (17.8%)

Profiling