Details

analyze632.0ms (15.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify472.0ms (11.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (340.0ms)

Iter	Nodes	Cost
0	5580	13

prune2.0ms (0.1%)

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

Merged error: 10.6b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.1b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_15445`
14×	`*-un-lft-identity_binary64_15423`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
8×	`add-cube-cbrt_binary64_15458`
6×	`cancel-sign-sub-inv_binary64_15389`
5×	`times-frac_binary64_15429` `associate-r_binary64_15363` `associate-/r*_binary64_15367`
4×	`pow1_binary64_15484` `distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-*r/_binary64_15365`
3×	`flip3--_binary64_15427` `difference-of-squares_binary64_15392` `flip--_binary64_15398` `distribute-lft-out--_binary64_15375` `associate-l_binary64_15364`
2×	`div-exp_binary64_15474` `associate-/l/_binary64_15370` `cbrt-undiv_binary64_15457` `prod-exp_binary64_15472` `associate-/r/_binary64_15369` `sub-neg_binary64_15416` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`
1×	`-commutative_binary64_15354` `frac-2neg_binary64_15434` `associate-/l_binary64_15368` `div-inv_binary64_15420` `clear-num_binary64_15422` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494`

Counts

2 → 59

Calls

2 calls:

13.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
12.0ms	(*.f64 x (-.f64 y z))

series136.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

100.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
35.0ms	(*.f64 x (-.f64 y z))

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6045	780

prune70.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	55	10	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	10	66

Merged error: 0b

Counts

66 → 10

Compiler

Compiled 1011 to 277 computations (72.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.5b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_15445`
70×	`*-un-lft-identity_binary64_15423`
51×	`times-frac_binary64_15429`
31×	`associate-r_binary64_15363`
26×	`add-cube-cbrt_binary64_15458`
22×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
5×	`associate-/l_binary64_15368` `associate-/r_binary64_15367`
4×	`pow1_binary64_15484` `associate-/r/_binary64_15369`
3×	`flip3--_binary64_15427` `flip--_binary64_15398` `associate-l_binary64_15364`
2×	`div-exp_binary64_15474` `associate-/l/_binary64_15370` `cbrt-undiv_binary64_15457` `prod-exp_binary64_15472` `div-inv_binary64_15420` `unswap-sqr_binary64_15391` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`
1×	`-commutative_binary64_15354` `frac-2neg_binary64_15434` `div-sub_binary64_15428` `clear-num_binary64_15422` `pow-prod-down_binary64_15494` `associate-r/_binary64_15365`

Counts

2 → 102

Calls

2 calls:

16.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
15.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

series163.0ms (4%)

Counts

2 → 6

Calls

2 calls:

106.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
56.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5084	1767

prune80.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Merged error: 0b

Counts

118 → 9

Compiler

Compiled 1861 to 379 computations (79.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.8b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite52.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_15429`
194×	`*-un-lft-identity_binary64_15423` `add-sqr-sqrt_binary64_15445`
90×	`add-cube-cbrt_binary64_15458`
52×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
36×	`associate-/r*_binary64_15367`
11×	`associate-/r/_binary64_15369`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
8×	`associate-/l*_binary64_15368`
6×	`flip3--_binary64_15427` `flip--_binary64_15398` `div-inv_binary64_15420`
4×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
2×	`frac-2neg_binary64_15434` `pow1_binary64_15484` `associate-/l/_binary64_15370` `clear-num_binary64_15422` `add-log-exp_binary64_15462`
1×	`div-sub_binary64_15428`

Counts

2 → 194

Calls

2 calls:

15.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
10.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

series211.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

166.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
45.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify112.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5009	4887

prune165.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	201	8	209

Merged error: 0b

Counts

209 → 8

Compiler

Compiled 3913 to 577 computations (85.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.0b	(/.f64 1 (-.f64 t z))
10.2b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))

rewrite42.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_15445`
42×	`*-un-lft-identity_binary64_15423`
31×	`add-exp-log_binary64_15461`
30×	`times-frac_binary64_15429`
26×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363`
19×	`add-cbrt-cube_binary64_15459`
13×	`prod-exp_binary64_15472`
11×	`pow1_binary64_15484`
8×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
7×	`associate-*r/_binary64_15365` `cbrt-unprod_binary64_15456`
6×	`div-exp_binary64_15474` `cancel-sign-sub-inv_binary64_15389`
5×	`flip3--_binary64_15427` `flip--_binary64_15398` `associate-/r*_binary64_15367`
4×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-/r/_binary64_15369` `pow-prod-down_binary64_15494` `associate-l_binary64_15364`
3×	`rec-exp_binary64_15473` `1-exp_binary64_15467` `associate-/l*_binary64_15368` `cbrt-undiv_binary64_15457` `add-log-exp_binary64_15462`
2×	`-commutative_binary64_15354` `frac-times_binary64_15433` `div-inv_binary64_15420` `sub-neg_binary64_15416` `associate-l/_binary64_15366`
1×	`frac-2neg_binary64_15434` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `clear-num_binary64_15422` `unswap-sqr_binary64_15391` `un-div-inv_binary64_15421`

Counts

3 → 121

Calls

3 calls:

17.0ms	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))
9.0ms	(*.f64 x (-.f64 y z))
5.0ms	(/.f64 1 (-.f64 t z))

series167.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

105.0ms	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 (-.f64 t z)))
36.0ms	(*.f64 x (-.f64 y z))
25.0ms	(/.f64 1 (-.f64 t z))

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5055	1619

prune84.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	130	8	138

Merged error: 0b

Counts

138 → 8

Compiler

Compiled 1984 to 611 computations (69.2% saved)

regimes231.0ms (5.7%)

Compiler: Compiled 1850 to 1369 computations (26% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample1.1s (26.3%)

Algorithm

1×

intervals

Results

317.0ms	8000×	body	128	valid
24.0ms	581×	body	128	invalid

Compiler

Compiled 372 to 279 computations (25% saved)

Details

analyze632.0ms (15.7%)

sample19.0ms (0.5%)

simplify472.0ms (11.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite28.0ms (0.7%)

series136.0ms (3.4%)

simplify65.0ms (1.6%)

prune70.0ms (1.7%)

localize7.0ms (0.2%)

rewrite48.0ms (1.2%)

series163.0ms (4%)

simplify91.0ms (2.3%)

prune80.0ms (2%)

localize7.0ms (0.2%)

rewrite52.0ms (1.3%)

series211.0ms (5.2%)

simplify112.0ms (2.8%)

prune165.0ms (4.1%)

localize11.0ms (0.3%)

rewrite42.0ms (1%)

series167.0ms (4.1%)

simplify65.0ms (1.6%)

prune84.0ms (2.1%)

regimes231.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.3%)

Profiling