Details

analyze899.0ms (26.5%)

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample30.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	79×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify202.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	680	13
1	680	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: 6.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
6.7b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_13578`
9×	`add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
8×	`*-un-lft-identity_binary64_13557`
6×	`add-cube-cbrt_binary64_13589`
5×	`associate-r_binary64_13499`
4×	`pow1_binary64_13615` `associate-*r/_binary64_13501`
3×	`times-frac_binary64_13563` `associate-/r_binary64_13503` `associate-l*_binary64_13500`
2×	`cbrt-undiv_binary64_13588` `sub-neg_binary64_13550` `prod-exp_binary64_13603` `associate-/l/_binary64_13506` `cbrt-unprod_binary64_13587` `flip3--_binary64_13561` `div-exp_binary64_13605` `flip--_binary64_13532` `add-log-exp_binary64_13593`
1×	`clear-num_binary64_13556` `distribute-lft-in_binary64_13508` `-commutative_binary64_13490` `distribute-rgt-in_binary64_13509` `difference-of-squares_binary64_13526` `div-inv_binary64_13554` `unswap-sqr_binary64_13525` `distribute-lft-out--_binary64_13511` `pow-prod-down_binary64_13625` `frac-2neg_binary64_13568` `associate-/l_binary64_13504`

Counts

2 → 47

Calls

2 calls:

11.0ms	(*.f64 y (-.f64 z t))
8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series182.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

111.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
71.0ms	(*.f64 y (-.f64 z t))

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4967	566
1	4967	566

prune45.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

Compiler

Compiled 756 to 247 computations (67.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 a (-.f64 z t))
6.9b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_13563`
102×	`add-sqr-sqrt_binary64_13578` `*-un-lft-identity_binary64_13557`
70×	`add-cube-cbrt_binary64_13589`
26×	`associate-/r*_binary64_13503`
16×	`difference-of-squares_binary64_13526` `distribute-lft-out--_binary64_13511`
11×	`associate-/r/_binary64_13505`
9×	`add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
6×	`div-inv_binary64_13554` `associate-/l*_binary64_13504`
5×	`flip3--_binary64_13561` `flip--_binary64_13532`
4×	`cbrt-undiv_binary64_13588` `div-exp_binary64_13605`
2×	`clear-num_binary64_13556` `pow1_binary64_13615` `frac-2neg_binary64_13568` `add-log-exp_binary64_13593`

Counts

2 → 139

Calls

2 calls:

12.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms	(/.f64 a (-.f64 z t))

series189.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

118.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
71.0ms	(/.f64 a (-.f64 z t))

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5110	2835

prune103.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	147	4	151

Merged error: 0b

Counts

151 → 4

Compiler

Compiled 2590 to 553 computations (78.6% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

6.8b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_13578`
13×	`associate-l_binary64_13500`
11×	`*-un-lft-identity_binary64_13557`
10×	`times-frac_binary64_13563`
9×	`add-cube-cbrt_binary64_13589`
6×	`add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
5×	`associate-r_binary64_13499`
3×	`pow1_binary64_13615`
2×	`sub-neg_binary64_13550` `prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `flip3--_binary64_13561` `flip--_binary64_13532` `associate-*r/_binary64_13501` `unswap-sqr_binary64_13525` `frac-times_binary64_13567`
1×	`cbrt-undiv_binary64_13588` `distribute-lft-in_binary64_13508` `div-exp_binary64_13605` `-commutative_binary64_13490` `distribute-rgt-in_binary64_13509` `difference-of-squares_binary64_13526` `div-inv_binary64_13554` `distribute-lft-out--_binary64_13511` `pow-prod-down_binary64_13625` `add-log-exp_binary64_13593` `associate-l/_binary64_13502`

Counts

1 → 40

Calls

1 calls:

10.0ms

(*.f64 (/.f64 y a) (-.f64 z t))

series116.0ms (3.4%)

Counts

1 → 3

Calls

1 calls:

116.0ms

(*.f64 (/.f64 y a) (-.f64 z t))

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5105	578

prune32.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

Compiler

Compiled 663 to 197 computations (70.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
6.8b	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_13592`
18×	`associate-r_binary64_13499`
16×	`add-cbrt-cube_binary64_13590`
15×	`add-sqr-sqrt_binary64_13578`
13×	`prod-exp_binary64_13603` `*-un-lft-identity_binary64_13557`
11×	`add-cube-cbrt_binary64_13589`
9×	`times-frac_binary64_13563` `pow1_binary64_13615`
7×	`cbrt-unprod_binary64_13587` `associate-*r/_binary64_13501`
4×	`div-exp_binary64_13605` `pow-prod-down_binary64_13625` `associate-l_binary64_13500`
3×	`flip3--_binary64_13561` `flip--_binary64_13532`
2×	`cbrt-undiv_binary64_13588` `sub-neg_binary64_13550` `1-exp_binary64_13598` `-commutative_binary64_13490` `rec-exp_binary64_13604` `add-log-exp_binary64_13593` `frac-times_binary64_13567` `associate-l/_binary64_13502`
1×	`distribute-lft-in_binary64_13508` `un-div-inv_binary64_13555` `distribute-rgt-in_binary64_13509` `difference-of-squares_binary64_13526` `div-inv_binary64_13554` `unswap-sqr_binary64_13525` `distribute-lft-out--_binary64_13511`

Counts

2 → 66

Calls

2 calls:

13.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))
7.0ms	(*.f64 y (-.f64 z t))

series183.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

119.0ms	(.f64 (.f64 y (-.f64 z t)) (/.f64 1 a))
65.0ms	(*.f64 y (-.f64 z t))

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4951	836
1	4951	836

prune49.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Merged error: 0b

Counts

76 → 4

Compiler

Compiled 1045 to 364 computations (65.2% saved)

regimes113.0ms (3.3%)

Compiler: Compiled 292 to 342 computations (-17.1% saved)

bsearch0.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	194	66
1	194	66

end0.0ms (0%)

sample867.0ms (25.6%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
99.0ms	2650×	body	128	invalid

Compiler

Compiled 130 to 98 computations (24.6% saved)

Details

analyze899.0ms (26.5%)

sample30.0ms (0.9%)

simplify202.0ms (6%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite23.0ms (0.7%)

series182.0ms (5.4%)

simplify53.0ms (1.6%)

prune45.0ms (1.3%)

localize8.0ms (0.2%)

rewrite33.0ms (1%)

series189.0ms (5.6%)

simplify81.0ms (2.4%)

prune103.0ms (3%)

localize10.0ms (0.3%)

rewrite14.0ms (0.4%)

series116.0ms (3.4%)

simplify50.0ms (1.5%)

prune32.0ms (0.9%)

localize9.0ms (0.3%)

rewrite25.0ms (0.7%)

series183.0ms (5.4%)

simplify59.0ms (1.7%)

prune49.0ms (1.5%)

regimes113.0ms (3.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample867.0ms (25.6%)

Profiling