Details

analyze360.0ms (4.7%)

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)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune4.0ms (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)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.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))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite248.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

15×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
14×	`add-cbrt-cube_binary64_2842`
10×	`add-cube-cbrt_binary64_2841` `associate-r_binary64_2746`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `cancel-sign-sub-inv_binary64_2772`
4×	`associate-*r/_binary64_2748`
3×	`unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883`
2×	`unswap-sqr_binary64_2774` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-l_binary64_2747` `*-commutative_binary64_2737` `sub-neg_binary64_2799` `difference-of-squares_binary64_2775` `associate-+r+_binary64_2738`
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` `flip3--_binary64_2810` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 87

Calls

4 calls:

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

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series1.1s (14.6%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

552.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
289.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
109.0ms	(.f64 (.f64 b b) (+.f64 3 a))
69.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3421 to 2546 computations (25.6% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5020	2413

prune266.0ms (3.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	4	138

Error

0.0b

Counts

138 → 4

Compiler

Compiled 4466 to 2347 computations (47.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
0.0b	(-.f64 (*.f64 a a) (pow.f64 a 3))
0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
2.0b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite435.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

60×	`cancel-sign-sub-inv_binary64_2772`
31×	`add-sqr-sqrt_binary64_2828`
27×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
26×	`associate-+r+_binary64_2738`
22×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
17×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
12×	`associate-r_binary64_2746`
11×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`add-log-exp_binary64_2845` `difference-of-squares_binary64_2775`
7×	`unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778`
5×	`sub-neg_binary64_2799`
4×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-r/_binary64_2748` `associate-l*_binary64_2747`
2×	`unswap-sqr_binary64_2774` `flip3-+_binary64_2809` `flip-+_binary64_2780` `*-commutative_binary64_2737` `flip3--_binary64_2810` `flip--_binary64_2781` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758`
1×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `diff-log_binary64_2898`

Counts

4 → 141

Calls

4 calls:

16.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
9.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
8.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 5937 to 3997 computations (32.7% saved)

series552.0ms (7.2%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

175.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
143.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
101.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
87.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 2191 to 1736 computations (20.8% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5172	2481

prune415.0ms (5.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	168	4	172

Error

0.0b

Counts

172 → 4

Compiler

Compiled 6394 to 4346 computations (32% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
0.0b	(-.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.7b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite260.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_2828`
15×	`*-un-lft-identity_binary64_2806`
14×	`add-exp-log_binary64_2844`
13×	`associate-l_binary64_2747`
12×	`associate-*r/_binary64_2748`
11×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
10×	`add-cube-cbrt_binary64_2841`
9×	`pow1_binary64_2867`
7×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-r_binary64_2746`
6×	`prod-exp_binary64_2855`
5×	`unswap-sqr_binary64_2774`
4×	`cbrt-unprod_binary64_2839` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `unpow-prod-down_binary64_2885` `cube-prod_binary64_2834` `frac-add_binary64_2814`
3×	`pow-prod-down_binary64_2877` `cancel-sign-sub-inv_binary64_2772`
2×	`*-commutative_binary64_2737` `sqr-pow_binary64_2778` `sum-log_binary64_2897` `diff-log_binary64_2898` `difference-of-squares_binary64_2775` `associate-+l+_binary64_2739` `associate-+r+_binary64_2738`
1×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow3_binary64_2872` `cube-mult_binary64_2836` `distribute-lft-out_binary64_2757` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `difference-of-sqr-1_binary64_2776` `distribute-lft-out--_binary64_2758` `associate--l+_binary64_2743` `+-commutative_binary64_2736`

Counts

4 → 98

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)
12.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
11.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
9.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))

Compiler

Compiled 3345 to 2145 computations (35.9% saved)

series1.1s (14.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

468.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
315.0ms	(-.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4))) 1)
189.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
81.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))

Compiler

Compiled 2238 to 1912 computations (14.6% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4954	3375
1	4954	3375

prune229.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	146	4	150

Error

Counts

150 → 4

Compiler

Compiled 3877 to 2455 computations (36.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.7b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite121.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_2828`
13×	`associate-l_binary64_2747`
12×	`add-exp-log_binary64_2844`
9×	`add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806`
7×	`pow1_binary64_2867` `add-cube-cbrt_binary64_2841` `associate-r_binary64_2746`
6×	`prod-exp_binary64_2855`
5×	`unswap-sqr_binary64_2774`
4×	`cbrt-unprod_binary64_2839` `associate-*r/_binary64_2748` `unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
3×	`pow-prod-down_binary64_2877`
2×	`add-log-exp_binary64_2845` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `flip-+_binary64_2780` `*-commutative_binary64_2737` `sqr-pow_binary64_2778`
1×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow3_binary64_2872` `cube-mult_binary64_2836` `distribute-lft-out_binary64_2757`

Counts

2 → 59

Calls

2 calls:

12.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
8.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))

Compiler

Compiled 1719 to 1101 computations (36% saved)

series306.0ms (4%)

Error

Counts

2 → 15

Calls

2 calls:

201.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
88.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))

Compiler

Compiled 833 to 686 computations (17.6% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5161	1042

prune105.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Error

Counts

78 → 4

Compiler

Compiled 1867 to 1197 computations (35.9% saved)

regimes777.0ms (10.1%)

Accuracy

Total 0.0b remaining (55.7%)

Threshold costs 0.0b (55.7%)

Compiler

Compiled 10862 to 7267 computations (33.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	49
1	45	49

end2.0ms (0%)

Compiler: Compiled 33 to 26 computations (21.2% saved)

sample882.0ms (11.5%)

Algorithm

1×

intervals

Results

483.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 220 to 151 computations (31.4% saved)

Details

analyze360.0ms (4.7%)

sample27.0ms (0.4%)

simplify76.0ms (1%)

prune4.0ms (0%)

localize20.0ms (0.3%)

rewrite248.0ms (3.2%)

series1.1s (14.6%)

simplify69.0ms (0.9%)

prune266.0ms (3.5%)

localize24.0ms (0.3%)

rewrite435.0ms (5.7%)

series552.0ms (7.2%)

simplify76.0ms (1%)

prune415.0ms (5.4%)

localize17.0ms (0.2%)

rewrite260.0ms (3.4%)

series1.1s (14.4%)

simplify108.0ms (1.4%)

prune229.0ms (3%)

localize14.0ms (0.2%)

rewrite121.0ms (1.6%)

series306.0ms (4%)

simplify59.0ms (0.8%)

prune105.0ms (1.4%)

regimes777.0ms (10.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample882.0ms (11.5%)

Profiling