Details

analyze1.7s (21.6%)

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
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample53.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
13.0ms	85×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify218.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	551	13
1	551	13

prune4.0ms (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: 9.7b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
9.2b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845`
9×	`times-frac_binary64_17816`
4×	`add-exp-log_binary64_17848` `add-log-exp_binary64_17849` `add-cbrt-cube_binary64_17846`
3×	`associate-/r_binary64_17754` `associate-/l_binary64_17755`
2×	`flip3--_binary64_17814` `flip--_binary64_17785` `associate-/l/_binary64_17757` `pow1_binary64_17871`
1×	`cancel-sign-sub-inv_binary64_17776` `clear-num_binary64_17809` `div-inv_binary64_17807` `div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `div-sub_binary64_17815` `diff-log_binary64_17902` `frac-2neg_binary64_17821` `sub-neg_binary64_17803`

Counts

2 → 42

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

series186.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

109.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
77.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5564	868

prune104.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	38	10	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	10	49

Merged error: 9.3b

Counts

49 → 10

Compiler

Compiled 939 to 244 computations (74% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
9.3b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_17832`
13×	`associate-r_binary64_17750`
11×	`*-un-lft-identity_binary64_17810` `add-exp-log_binary64_17848` `times-frac_binary64_17816`
10×	`add-cube-cbrt_binary64_17845`
7×	`add-cbrt-cube_binary64_17846`
4×	`prod-exp_binary64_17859` `add-log-exp_binary64_17849` `pow1_binary64_17871`
3×	`unswap-sqr_binary64_17778` `flip3--_binary64_17814` `flip--_binary64_17785` `associate-l_binary64_17751`
2×	`cbrt-unprod_binary64_17843` `associate-*l/_binary64_17753` `div-exp_binary64_17861` `frac-times_binary64_17820`
1×	`cancel-sign-sub-inv_binary64_17776` `pow-prod-down_binary64_17881` `div-inv_binary64_17807` `-commutative_binary64_17741` `un-div-inv_binary64_17808` `associate-r/_binary64_17752` `1-exp_binary64_17854` `cbrt-undiv_binary64_17844` `diff-log_binary64_17902` `rec-exp_binary64_17860` `sub-neg_binary64_17803`

Counts

2 → 52

Calls

2 calls:

20.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

series191.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

109.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
82.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5228	979

prune95.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	57	11	68

Merged error: 9.3b

Counts

68 → 11

Compiler

Compiled 1128 to 361 computations (68% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.6b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
9.2b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

rewrite59.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_17816`
55×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845`
18×	`associate-/r*_binary64_17754`
16×	`add-exp-log_binary64_17848`
11×	`associate-/r/_binary64_17756`
10×	`add-cbrt-cube_binary64_17846`
8×	`div-exp_binary64_17861`
6×	`flip3--_binary64_17814` `div-inv_binary64_17807` `associate-/l*_binary64_17755` `flip--_binary64_17785`
5×	`add-log-exp_binary64_17849`
4×	`cbrt-undiv_binary64_17844` `pow1_binary64_17871`
2×	`clear-num_binary64_17809` `1-exp_binary64_17854` `rec-exp_binary64_17860` `frac-2neg_binary64_17821`
1×	`cancel-sign-sub-inv_binary64_17776` `inv-pow_binary64_17895` `diff-log_binary64_17902` `pow-flip_binary64_17884` `sub-neg_binary64_17803`

Counts

3 → 125

Calls

3 calls:

17.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
11.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

series376.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

171.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
123.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
81.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify158.0ms (2%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5274	3194

prune199.0ms (2.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	134	11	145

Merged error: 9.3b

Counts

145 → 11

Compiler

Compiled 2871 to 666 computations (76.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.6b	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 z t)))))
0.9b	(/.f64 1 (-.f64 (.f64 x y) (.f64 z t)))
8.3b	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 z t))))

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64_17848`
29×	`add-sqr-sqrt_binary64_17832`
23×	`*-un-lft-identity_binary64_17810` `times-frac_binary64_17816`
22×	`add-cube-cbrt_binary64_17845`
20×	`div-exp_binary64_17861` `add-cbrt-cube_binary64_17846`
16×	`prod-exp_binary64_17859`
15×	`associate-r_binary64_17750`
10×	`1-exp_binary64_17854` `rec-exp_binary64_17860` `pow1_binary64_17871`
6×	`associate-/r/_binary64_17756` `associate-/l*_binary64_17755` `add-log-exp_binary64_17849` `cbrt-undiv_binary64_17844`
4×	`cbrt-unprod_binary64_17843` `associate-/r*_binary64_17754`
3×	`unswap-sqr_binary64_17778` `flip3--_binary64_17814` `div-inv_binary64_17807` `flip--_binary64_17785` `associate-l_binary64_17751` `pow-flip_binary64_17884`
2×	`pow-prod-down_binary64_17881` `clear-num_binary64_17809` `inv-pow_binary64_17895` `un-div-inv_binary64_17808` `associate-*r/_binary64_17752` `frac-2neg_binary64_17821`
1×	`cancel-sign-sub-inv_binary64_17776` `*-commutative_binary64_17741` `diff-log_binary64_17902` `sub-neg_binary64_17803`

Counts

4 → 123

Calls

4 calls:

23.0ms	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 z t))))
19.0ms	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 z t)))))
10.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 z t)))
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

series397.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 z t)))))
117.0ms	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 z t))))
70.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 z t)))
66.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify164.0ms (2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4955	2075
1	4955	2075

prune170.0ms (2.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	135	11	146

Merged error: 9.3b

Counts

146 → 11

Compiler

Compiled 2266 to 702 computations (69% saved)

regimes1.0s (12.6%)

Compiler: Compiled 6894 to 4509 computations (34.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	13
1	38	13

end0.0ms (0%)

sample2.5s (31.1%)

Algorithm

1×

intervals

Results

533.0ms	8000×	body	128	valid
200.0ms	3004×	body	128	invalid

Compiler

Compiled 818 to 533 computations (34.8% saved)

Details

analyze1.7s (21.6%)

sample53.0ms (0.7%)

simplify218.0ms (2.7%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite23.0ms (0.3%)

series186.0ms (2.3%)

simplify108.0ms (1.3%)

prune104.0ms (1.3%)

localize17.0ms (0.2%)

rewrite35.0ms (0.4%)

series191.0ms (2.4%)

simplify105.0ms (1.3%)

prune95.0ms (1.2%)

localize18.0ms (0.2%)

rewrite59.0ms (0.7%)

series376.0ms (4.7%)

simplify158.0ms (2%)

prune199.0ms (2.5%)

localize20.0ms (0.2%)

rewrite77.0ms (1%)

series397.0ms (4.9%)

simplify164.0ms (2%)

prune170.0ms (2.1%)

regimes1.0s (12.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.5s (31.1%)

Profiling