Details

analyze299.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune3.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite202.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary64_2828`
18×	`associate-*r/_binary64_2748`
17×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `*-un-lft-identity_binary64_2806`
16×	`add-cbrt-cube_binary64_2842`
13×	`associate-r_binary64_2746`
12×	`add-cube-cbrt_binary64_2841`
7×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
6×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `cancel-sign-sub-inv_binary64_2772`
5×	`associate-l_binary64_2747`
4×	`add-log-exp_binary64_2845` `flip3-+_binary64_2809` `flip-+_binary64_2780` `frac-add_binary64_2814`
3×	`unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883` `flip3--_binary64_2810` `flip--_binary64_2781`
2×	`sub-neg_binary64_2799` `difference-of-squares_binary64_2775`
1×	`distribute-lft-out_binary64_2757` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `distribute-lft-out--_binary64_2758`

Counts

4 → 100

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3912 to 2021 computations (48.3% saved)

series566.0ms (8.2%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

193.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
169.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
85.0ms	(.f64 (.f64 b b) (+.f64 3 a))
50.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3378 to 2396 computations (29.1% saved)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4930	2370
1	4930	2370

prune218.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	3	148

Error

0.0b

Counts

148 → 3

Compiler

Compiled 4982 to 2583 computations (48.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.7b	(.f64 a (.f64 a (*.f64 b b)))
0.8b	(.f64 a (.f64 b b))
0.9b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite203.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
16×	`add-sqr-sqrt_binary64_2828`
15×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-un-lft-identity_binary64_2806`
12×	`associate-r_binary64_2746`
10×	`add-cube-cbrt_binary64_2841`
8×	`associate-l_binary64_2747`
6×	`cancel-sign-sub-inv_binary64_2772`
5×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
4×	`add-log-exp_binary64_2845` `associate-r/_binary64_2748` `-commutative_binary64_2737`
3×	`unswap-sqr_binary64_2774`
2×	`sub-neg_binary64_2799` `difference-of-squares_binary64_2775`
1×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `flip3--_binary64_2810` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758`

Counts

4 → 96

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series330.0ms (4.8%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

86.0ms	(.f64 (.f64 b b) (+.f64 3 a))
83.0ms	(.f64 a (.f64 a (*.f64 b b)))
68.0ms	(.f64 a (.f64 b b))
53.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2783 to 1984 computations (28.7% saved)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4929	1229
1	4929	1229

prune208.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	123	3	126

Error

0.0b

Counts

126 → 3

Compiler

Compiled 4937 to 2779 computations (43.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (+.f64 3 a))))
0.1b	(-.f64 (*.f64 a a) (pow.f64 a 3))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite190.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_2828`
14×	`*-un-lft-identity_binary64_2806`
12×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cube-cbrt_binary64_2841` `associate-*r/_binary64_2748` `cancel-sign-sub-inv_binary64_2772`
11×	`add-cbrt-cube_binary64_2842`
7×	`associate-r_binary64_2746` `unpow-prod-down_binary64_2885`
6×	`add-log-exp_binary64_2845`
4×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-l_binary64_2747` `difference-of-squares_binary64_2775` `cube-prod_binary64_2834` `frac-add_binary64_2814`
3×	`pow-unpow_binary64_2883` `sqr-pow_binary64_2778` `flip3--_binary64_2810` `flip--_binary64_2781`
2×	`unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `*-commutative_binary64_2737` `unpow3_binary64_2872` `cube-mult_binary64_2836`
1×	`distribute-lft-out_binary64_2757` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `diff-log_binary64_2898` `sub-neg_binary64_2799` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758`

Counts

4 → 97

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (+.f64 3 a))))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3876 to 1997 computations (48.5% saved)

series548.0ms (7.9%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

184.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
164.0ms	(.f64 4 (+.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (+.f64 3 a))))
84.0ms	(.f64 (.f64 b b) (+.f64 3 a))
57.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 3378 to 2396 computations (29.1% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4988	2370
1	4988	2370

prune196.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	144	3	147

Error

0.0b

Counts

147 → 3

Compiler

Compiled 4871 to 2503 computations (48.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 (.f64 b b) (+.f64 3 a))
18.1b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.1b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.1b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite186.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cbrt-prod_binary64_2837`
13×	`*-un-lft-identity_binary64_2806`
12×	`add-sqr-sqrt_binary64_2828`
11×	`add-cube-cbrt_binary64_2841`
9×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `unpow-prod-down_binary64_2885`
4×	`add-log-exp_binary64_2845` `associate-r_binary64_2746`
3×	`pow1/3_binary64_2888` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
2×	`associate-*r/_binary64_2748`
1×	`unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-l_binary64_2747` `distribute-lft-out_binary64_2757` `*-commutative_binary64_2737`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Compiler

Compiled 4418 to 1987 computations (55% saved)

series722.0ms (10.5%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

188.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
182.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
172.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
92.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 6510 to 3991 computations (38.7% saved)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4911	1941
1	4911	1941

prune250.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	116	4	120

Error

Counts

120 → 4

Compiler

Compiled 6516 to 2964 computations (54.5% saved)

regimes500.0ms (7.3%)

Accuracy

Total 0.0b remaining (69%)

Threshold costs 0.0b (69%)

Compiler

Compiled 9248 to 5628 computations (39.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	55
1	57	55

end0.0ms (0%)

sample1.8s (25.9%)

Algorithm

1×

intervals

Results

468.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1641 to 1009 computations (38.5% saved)

Details

analyze299.0ms (4.3%)

sample25.0ms (0.4%)

simplify81.0ms (1.2%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite202.0ms (2.9%)

series566.0ms (8.2%)

simplify71.0ms (1%)

prune218.0ms (3.2%)

localize23.0ms (0.3%)

rewrite203.0ms (2.9%)

series330.0ms (4.8%)

simplify84.0ms (1.2%)

prune208.0ms (3%)

localize17.0ms (0.2%)

rewrite190.0ms (2.8%)

series548.0ms (7.9%)

simplify53.0ms (0.8%)

prune196.0ms (2.8%)

localize19.0ms (0.3%)

rewrite186.0ms (2.7%)

series722.0ms (10.5%)

simplify98.0ms (1.4%)

prune250.0ms (3.6%)

regimes500.0ms (7.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (25.9%)

Profiling