Details

analyze2.0s (8.8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5212	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14
21.9%	77.7%	0.4%	14

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample571.0ms (2.5%)

Algorithm

2×

intervals

Results

16.0ms	441×	body	128	valid
5.0ms	87×	body	128	invalid
3.0ms	21×	body	1024	valid
3.0ms	23×	body	512	valid
2.0ms	25×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 4241 to 5145 computations (-21.3% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4973	19
1	4973	19

prune3.0ms (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

Error

11.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
2.9b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
4.2b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

rewrite196.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

9.2b

Rules

78×	`add-sqr-sqrt_binary64_2828`
73×	`*-un-lft-identity_binary64_2806`
51×	`times-frac_binary64_2812`
31×	`associate-r_binary64_2746`
27×	`add-cube-cbrt_binary64_2841`
23×	`difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`add-log-exp_binary64_2845` `pow1_binary64_2867` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-l_binary64_2747` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
4×	`associate-/r/_binary64_2752`
2×	`div-exp_binary64_2857` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `cbrt-undiv_binary64_2840` `frac-times_binary64_2816` `unswap-sqr_binary64_2774` `associate-*l/_binary64_2749` `div-inv_binary64_2803` `associate-/l/_binary64_2753`
1×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `associate-r/_binary64_2748` `-commutative_binary64_2737` `frac-2neg_binary64_2817` `div-sub_binary64_2811` `clear-num_binary64_2805`

Counts

3 → 119

Calls

3 calls:

19.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
8.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2779 to 576 computations (79.3% saved)

series2.8s (12.2%)

Error

0.8b

Counts

3 → 111

Calls

3 calls:

1.3s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
863.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
411.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 9779 to 5236 computations (46.5% saved)

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5258	7782

prune272.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	220	10	230
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	221	10	231

Error

0.8b

Counts

231 → 10

Compiler

Compiled 6714 to 1259 computations (81.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
8.1b	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite115.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

15×	`cbrt-prod_binary64_2837`
13×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
7×	`add-cube-cbrt_binary64_2841`
6×	`add-log-exp_binary64_2845` `cbrt-div_binary64_2838`
4×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`pow1/3_binary64_2888` `flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`
1×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
4.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 2641 to 338 computations (87.2% saved)

series2.3s (10.2%)

Error

0.8b

Counts

4 → 72

Calls

4 calls:

1.7s	(+.f64 x (.f64 (.f64 (-.f64 y z) (/.f64 (.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
168.0ms	(cbrt.f64 (-.f64 a z))
166.0ms	(cbrt.f64 (-.f64 a z))
158.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 7745 to 4265 computations (44.9% saved)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5620	3484

prune186.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Error

0.8b

Counts

138 → 10

Compiler

Compiled 5114 to 954 computations (81.3% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))
0.0b	(/.f64 t (-.f64 a z))
2.9b	(*.f64 (-.f64 y z) (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
4.2b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))))

rewrite383.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

157×	`*-un-lft-identity_binary64_2806`
139×	`add-sqr-sqrt_binary64_2828`
126×	`times-frac_binary64_2812`
105×	`cancel-sign-sub-inv_binary64_2772`
65×	`add-cube-cbrt_binary64_2841`
44×	`distribute-rgt-in_binary64_2756` `associate-+r+_binary64_2738` `distribute-lft-out--_binary64_2758` `distribute-lft-in_binary64_2755`
32×	`difference-of-squares_binary64_2775`
20×	`associate-/r/_binary64_2752`
19×	`flip3--_binary64_2810` `flip--_binary64_2781`
18×	`associate-r_binary64_2746`
10×	`div-inv_binary64_2803`
8×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816`
6×	`pow1_binary64_2867` `distribute-rgt-out--_binary64_2760`
5×	`sub-neg_binary64_2799` `associate-l_binary64_2747` `associate-/r*_binary64_2750`
4×	`frac-sub_binary64_2815` `sub-div_binary64_2813` `associate-*r/_binary64_2748`
3×	`associate-/l*_binary64_2751`
2×	`associate-*l/_binary64_2749`
1×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `diff-log_binary64_2898`

Counts

4 → 234

Calls

4 calls:

44.0ms	(*.f64 (-.f64 y z) (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
35.0ms	(-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))
15.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))))
6.0ms	(/.f64 t (-.f64 a z))

Compiler

Compiled 6943 to 1257 computations (81.9% saved)

series3.2s (13.8%)

Error

0.8b

Counts

4 → 135

Calls

4 calls:

1.3s	(+.f64 x (*.f64 (-.f64 y z) (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))))
970.0ms	(*.f64 (-.f64 y z) (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))))
488.0ms	(-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))
182.0ms	(/.f64 t (-.f64 a z))

Compiler

Compiled 11238 to 6057 computations (46.1% saved)

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5074	11975

prune393.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	368	1	369
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	369	10	379

Error

0.8b

Counts

379 → 10

Compiler

Compiled 11409 to 1865 computations (83.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.3b	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
4.3b	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
4.3b	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
7.9b	(+.f64 x (.f64 (.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))

rewrite241.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

97×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
93×	`cbrt-prod_binary64_2837`
75×	`times-frac_binary64_2812`
37×	`add-cube-cbrt_binary64_2841`
30×	`difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`
6×	`add-log-exp_binary64_2845` `associate-/r/_binary64_2752`
4×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`pow1/3_binary64_2888` `cbrt-div_binary64_2838` `div-inv_binary64_2803` `flip3--_binary64_2810` `flip--_binary64_2781`
1×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

4 → 131

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))

Compiler

Compiled 5860 to 813 computations (86.1% saved)

series5.3s (23.2%)

Error

0.8b

Counts

4 → 114

Calls

4 calls:

1.7s	(+.f64 x (.f64 (.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))
1.1s	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
1.1s	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
1.1s	(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))

Compiler

Compiled 20006 to 11671 computations (41.7% saved)

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5207	11437

prune456.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	245	10	255

Error

0.8b

Counts

255 → 10

Compiler

Compiled 12339 to 2841 computations (77% saved)

regimes1.6s (7%)

Accuracy

Total 4.9b remaining (86.3%)

Threshold costs 0b (0%)

Compiler

Compiled 12940 to 8440 computations (34.8% saved)

bsearch7.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	144	162
1	144	162

end0.0ms (0%)

sample2.4s (10.5%)

Algorithm

1×

intervals

Results

264.0ms	6745×	body	128	valid
58.0ms	1305×	body	128	invalid
55.0ms	381×	body	1024	valid
52.0ms	470×	body	512	valid
24.0ms	348×	body	256	valid
10.0ms	56×	body	2048	valid

Compiler

Compiled 2241 to 1438 computations (35.8% saved)

Details

analyze2.0s (8.8%)

sample571.0ms (2.5%)

simplify75.0ms (0.3%)

prune3.0ms (0%)

localize9.0ms (0%)

rewrite196.0ms (0.9%)

series2.8s (12.2%)

simplify78.0ms (0.3%)

prune272.0ms (1.2%)

localize18.0ms (0.1%)

rewrite115.0ms (0.5%)

series2.3s (10.2%)

simplify62.0ms (0.3%)

prune186.0ms (0.8%)

localize10.0ms (0%)

rewrite383.0ms (1.7%)

series3.2s (13.8%)

simplify110.0ms (0.5%)

prune393.0ms (1.7%)

localize13.0ms (0.1%)

rewrite241.0ms (1.1%)

series5.3s (23.2%)

simplify109.0ms (0.5%)

prune456.0ms (2%)

regimes1.6s (7%)

bsearch7.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.4s (10.5%)

Profiling