Details

analyze231.0ms (2.8%)

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify172.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	16
1	105	16

prune2.0ms (0%)

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: 5.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.7b	(.f64 y (+.f64 1 (.f64 z z)))
3.9b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_11437`
26×	`add-exp-log_binary64_11469`
20×	`add-sqr-sqrt_binary64_11453`
18×	`add-cube-cbrt_binary64_11466` `*-un-lft-identity_binary64_11431`
16×	`add-cbrt-cube_binary64_11467`
13×	`associate-/l*_binary64_11376`
12×	`div-exp_binary64_11482`
6×	`cbrt-undiv_binary64_11465`
5×	`prod-exp_binary64_11480`
4×	`associate-*r/_binary64_11373` `pow1_binary64_11492`
3×	`associate-r_binary64_11371` `cbrt-unprod_binary64_11464` `associate-l_binary64_11372` `div-inv_binary64_11428`
2×	`rec-exp_binary64_11481` `associate-/r/_binary64_11377` `flip3-+_binary64_11434` `flip-+_binary64_11405` `1-exp_binary64_11475` `add-log-exp_binary64_11470`
1×	`associate-/r_binary64_11375` `distribute-lft-in_binary64_11380` `associate-/l/_binary64_11378` `distribute-rgt-in_binary64_11381` `unswap-sqr_binary64_11399` `-commutative_binary64_11362` `frac-2neg_binary64_11442` `pow-prod-down_binary64_11502` `clear-num_binary64_11430`

Counts

2 → 74

Calls

2 calls:

11.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
7.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series173.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
74.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5028	1317

prune302.0ms (3.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	70	10	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	10	81

Merged error: 3.3b

Counts

81 → 10

Compiler

Compiled 5088 to 4007 computations (21.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (/.f64 1 x) y)
4.6b	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

468×	`times-frac_binary64_11437`
228×	`add-cube-cbrt_binary64_11466` `*-un-lft-identity_binary64_11431` `add-sqr-sqrt_binary64_11453`
56×	`associate-/l*_binary64_11376`
26×	`add-exp-log_binary64_11469`
22×	`div-inv_binary64_11428`
17×	`div-exp_binary64_11482`
16×	`add-cbrt-cube_binary64_11467`
9×	`cbrt-undiv_binary64_11465`
6×	`associate-/r*_binary64_11375`
2×	`rec-exp_binary64_11481` `associate-/l/_binary64_11378` `frac-2neg_binary64_11442` `associate-/r/_binary64_11377` `1-exp_binary64_11475` `add-log-exp_binary64_11470` `clear-num_binary64_11430` `pow1_binary64_11492`
1×	`flip3-+_binary64_11434` `flip-+_binary64_11405`

Counts

2 → 268

Calls

2 calls:

17.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
7.0ms	(/.f64 (/.f64 1 x) y)

series118.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
19.0ms	(/.f64 (/.f64 1 x) y)

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5135	7926

prune508.0ms (6.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	270	4	274
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	275	9	284

Merged error: 3.3b

Counts

284 → 9

Compiler

Compiled 9416 to 5911 computations (37.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.7b	(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 y)) (+.f64 1 (*.f64 z z)))
2.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 y)) (+.f64 1 (.f64 z z))))

rewrite368.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

1703×	`times-frac_binary64_11437`
908×	`cbrt-prod_binary64_11462`
844×	`add-sqr-sqrt_binary64_11453`
780×	`*-un-lft-identity_binary64_11431`
776×	`add-cube-cbrt_binary64_11466`
306×	`associate-r_binary64_11371`
100×	`associate-/l*_binary64_11376`
78×	`add-exp-log_binary64_11469`
52×	`div-inv_binary64_11428`
42×	`add-cbrt-cube_binary64_11467`
30×	`cbrt-undiv_binary64_11465` `div-exp_binary64_11482`
27×	`cbrt-unprod_binary64_11464` `prod-exp_binary64_11480`
20×	`unswap-sqr_binary64_11399`
6×	`pow1_binary64_11492`
5×	`associate-l_binary64_11372`
4×	`associate-/r/_binary64_11377` `add-log-exp_binary64_11470`
3×	`associate-/r*_binary64_11375`
2×	`pow1/3_binary64_11513` `flip3-+_binary64_11434` `flip-+_binary64_11405`
1×	`associate-r/_binary64_11373` `associate-l/_binary64_11374` `associate-/l/_binary64_11378` `*-commutative_binary64_11362` `frac-2neg_binary64_11442` `frac-times_binary64_11441` `pow-prod-down_binary64_11502` `clear-num_binary64_11430`

Counts

4 → 815

Calls

4 calls:

122.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 y)) (+.f64 1 (.f64 z z))))
35.0ms	(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 y)) (+.f64 1 (*.f64 z z)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series592.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 y)) (+.f64 1 (*.f64 z z)))
159.0ms	(cbrt.f64 y)
151.0ms	(cbrt.f64 y)
114.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 y)) (+.f64 1 (.f64 z z))))

simplify304.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

827 → 827

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5598	35914

prune3.3s (39%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	827	0	827
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	827	9	836

Merged error: 3.3b

Counts

836 → 9

Compiler

Compiled 37364 to 22381 computations (40.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.6b	(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 (+.f64 1 (.f64 z z))) (cbrt.f64 (+.f64 1 (*.f64 z z)))))
14.0b	(cbrt.f64 (+.f64 1 (*.f64 z z)))
14.0b	(cbrt.f64 (+.f64 1 (*.f64 z z)))
14.0b	(cbrt.f64 (+.f64 1 (*.f64 z z)))

rewrite52.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_11469`
19×	`add-cbrt-cube_binary64_11467`
18×	`cbrt-div_binary64_11463` `cbrt-undiv_binary64_11465` `div-exp_binary64_11482`
13×	`cbrt-unprod_binary64_11464` `prod-exp_binary64_11480`
9×	`cbrt-prod_binary64_11462` `add-cube-cbrt_binary64_11466` `*-un-lft-identity_binary64_11431` `flip3-+_binary64_11434` `flip-+_binary64_11405` `add-sqr-sqrt_binary64_11453`
8×	`associate-/r/_binary64_11377`
7×	`times-frac_binary64_11437`
5×	`associate-/l*_binary64_11376`
4×	`frac-times_binary64_11441` `add-log-exp_binary64_11470` `pow1_binary64_11492`
3×	`pow1/3_binary64_11513` `div-inv_binary64_11428`
2×	`associate-r/_binary64_11373` `associate-l/_binary64_11374`
1×	`associate-/r*_binary64_11375` `associate-/l/_binary64_11378` `frac-2neg_binary64_11442` `clear-num_binary64_11430`

Counts

4 → 89

Calls

4 calls:

27.0ms	(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 (+.f64 1 (.f64 z z))) (cbrt.f64 (+.f64 1 (*.f64 z z)))))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 z z)))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 z z)))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 z z)))

series625.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

368.0ms	(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 (+.f64 1 (.f64 z z))) (cbrt.f64 (+.f64 1 (*.f64 z z)))))
88.0ms	(cbrt.f64 (+.f64 1 (*.f64 z z)))
87.0ms	(cbrt.f64 (+.f64 1 (*.f64 z z)))
81.0ms	(cbrt.f64 (+.f64 1 (*.f64 z z)))

simplify148.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4924	2537
1	4924	2537

prune220.0ms (2.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	101	9	110

Merged error: 3.3b

Counts

110 → 9

Compiler

Compiled 4700 to 2808 computations (40.3% saved)

regimes174.0ms (2.1%)

Compiler: Compiled 1653 to 1352 computations (18.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	46
1	19	46

end0.0ms (0%)

sample755.0ms (9%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	128	valid
17.0ms	481×	body	128	invalid

Compiler

Compiled 286 to 223 computations (22% saved)

Details

analyze231.0ms (2.8%)

sample17.0ms (0.2%)

simplify172.0ms (2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite25.0ms (0.3%)

series173.0ms (2.1%)

simplify70.0ms (0.8%)

prune302.0ms (3.6%)

localize11.0ms (0.1%)

rewrite63.0ms (0.7%)

series118.0ms (1.4%)

simplify135.0ms (1.6%)

prune508.0ms (6.1%)

localize16.0ms (0.2%)

rewrite368.0ms (4.4%)

series592.0ms (7.1%)

simplify304.0ms (3.6%)

prune3.3s (39%)

localize20.0ms (0.2%)

rewrite52.0ms (0.6%)

series625.0ms (7.5%)

simplify148.0ms (1.8%)

prune220.0ms (2.6%)

regimes174.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample755.0ms (9%)

Profiling