Details

analyze114.0ms (2.9%)

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
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)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify165.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune3.0ms (0.1%)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.4%)

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))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2465` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `pow1_binary64_2526`
14×	`add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
6×	`add-log-exp_binary64_2504` `distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
4×	`associate-*r/_binary64_2407`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`flip3-+_binary64_2468` `difference-of-squares_binary64_2434` `-commutative_binary64_2396` `flip-+_binary64_2439` `sub-neg_binary64_2458` `unswap-sqr_binary64_2433` `associate-+r+_binary64_2397` `associate-l*_binary64_2406`
1×	`+-commutative_binary64_2395` `unpow2_binary64_2530` `flip--_binary64_2440` `sum-log_binary64_2556` `distribute-lft-out--_binary64_2417` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `distribute-lft-out_binary64_2416` `flip3--_binary64_2469`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 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)))))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series168.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(+.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)))))
32.0ms	(.f64 (.f64 a a) (-.f64 1 a))
28.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
24.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5239	1789

prune150.0ms (3.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

Compiler

Compiled 3523 to 1798 computations (49% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.5b	(.f64 (.f64 b b) (+.f64 3 a))
2.3b	(.f64 (.f64 b b) (*.f64 a a))

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_2526`
26×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
20×	`pow-prod-down_binary64_2536`
17×	`*-un-lft-identity_binary64_2465`
14×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
13×	`add-sqr-sqrt_binary64_2487`
11×	`associate-r_binary64_2405`
8×	`add-cube-cbrt_binary64_2500`
6×	`add-log-exp_binary64_2504` `cancel-sign-sub-inv_binary64_2431`
5×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
4×	`pow-plus_binary64_2528` `associate-*r/_binary64_2407` `pow-prod-up_binary64_2535`
3×	`-commutative_binary64_2396` `unswap-sqr_binary64_2433` `distribute-lft-out_binary64_2416` `associate-l*_binary64_2406`
2×	`flip3-+_binary64_2468` `difference-of-squares_binary64_2434` `flip-+_binary64_2439` `sub-neg_binary64_2458` `unpow-prod-down_binary64_2544` `pow2_binary64_2546` `pow-sqr_binary64_2438`
1×	`+-commutative_binary64_2395` `flip--_binary64_2440` `sum-log_binary64_2556` `distribute-lft-out--_binary64_2417` `flip3--_binary64_2469`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))

series120.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (.f64 a a) (-.f64 1 a))
31.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
28.0ms	(.f64 (.f64 b b) (*.f64 a a))
27.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4939	1161
1	4939	1161

prune198.0ms (5.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

Compiler

Compiled 4527 to 2589 computations (42.8% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 b b) (+.f64 3 a))
0.5b	(.f64 (.f64 b b) (+.f64 3 a))
8.4b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
8.4b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

rewrite45.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_2526`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`*-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487`
8×	`add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
6×	`sqrt-prod_binary64_2481` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
4×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `sqrt-div_binary64_2482`
2×	`distribute-lft-in_binary64_2414` `-commutative_binary64_2396` `pow1/2_binary64_2545` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `rem-sqrt-square_binary64_2478` `distribute-lft-out_binary64_2416` `sqrt-pow1_binary64_2483` `associate-l*_binary64_2406`

Counts

4 → 78

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

series208.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
80.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
24.0ms	(.f64 (.f64 b b) (+.f64 3 a))
23.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify252.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5222	2344

prune221.0ms (5.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

Compiler

Compiled 6047 to 3069 computations (49.2% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 b b) (+.f64 3 a))
17.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
17.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
17.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_2496`
13×	`*-un-lft-identity_binary64_2465`
12×	`add-sqr-sqrt_binary64_2487`
11×	`add-cube-cbrt_binary64_2500`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544` `pow1_binary64_2526`
4×	`add-log-exp_binary64_2504` `associate-r_binary64_2405`
3×	`unpow2_binary64_2530` `pow1/3_binary64_2547` `sqr-pow_binary64_2437` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`associate-*r/_binary64_2407`
1×	`flip3-+_binary64_2468` `distribute-lft-in_binary64_2414` `-commutative_binary64_2396` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-out_binary64_2416` `associate-l*_binary64_2406`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.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))

series270.0ms (7%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
82.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
79.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
23.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify95.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4892	1428
1	4892	1428

prune157.0ms (4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

Compiler

Compiled 4776 to 2109 computations (55.8% saved)

regimes250.0ms (6.4%)

Compiler: Compiled 4141 to 2562 computations (38.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample1.1s (28.6%)

Algorithm

1×

intervals

Results

469.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 762 to 478 computations (37.3% saved)

Details

analyze114.0ms (2.9%)

sample24.0ms (0.6%)

simplify165.0ms (4.2%)

prune3.0ms (0.1%)

localize15.0ms (0.4%)

rewrite43.0ms (1.1%)

series168.0ms (4.3%)

simplify56.0ms (1.4%)

prune150.0ms (3.9%)

localize19.0ms (0.5%)

rewrite48.0ms (1.2%)

series120.0ms (3.1%)

simplify75.0ms (1.9%)

prune198.0ms (5.1%)

localize23.0ms (0.6%)

rewrite45.0ms (1.1%)

series208.0ms (5.4%)

simplify252.0ms (6.5%)

prune221.0ms (5.7%)

localize19.0ms (0.5%)

rewrite35.0ms (0.9%)

series270.0ms (7%)

simplify95.0ms (2.5%)

prune157.0ms (4%)

regimes250.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.6%)

Profiling