Details

analyze658.0ms (10.9%)

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
2.0ms	56×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify405.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	1430	16
1	1430	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: 4.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0b	(/.f64 t (-.f64 1 z))
4.7b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite94.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64_7669`
107×	`*-un-lft-identity_binary64_7647`
88×	`times-frac_binary64_7653`
72×	`cancel-sign-sub-inv_binary64_7613`
46×	`add-cube-cbrt_binary64_7682`
34×	`difference-of-squares_binary64_7616`
25×	`distribute-rgt-in_binary64_7597` `distribute-lft-in_binary64_7596`
21×	`distribute-lft-out--_binary64_7599`
10×	`associate-r_binary64_7587`
8×	`associate-/r/_binary64_7593`
7×	`add-cbrt-cube_binary64_7683` `add-exp-log_binary64_7685`
6×	`flip--_binary64_7622` `flip3--_binary64_7651` `associate-/r*_binary64_7591`
5×	`pow1_binary64_7708` `add-log-exp_binary64_7686`
4×	`div-inv_binary64_7644`
3×	`sub-neg_binary64_7640` `associate-l_binary64_7588` `associate-/l_binary64_7592` `associate-r/_binary64_7589`
2×	`frac-sub_binary64_7656`
1×	`diff-log_binary64_7739` `div-exp_binary64_7698` `unswap-sqr_binary64_7615` `prod-exp_binary64_7696` `cbrt-unprod_binary64_7680` `pow-prod-down_binary64_7718` `frac-2neg_binary64_7658` `clear-num_binary64_7646` `cbrt-undiv_binary64_7681` `*-commutative_binary64_7578`

Counts

3 → 162

Calls

3 calls:

36.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
28.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
7.0ms	(/.f64 t (-.f64 1 z))

series266.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

141.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
71.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
54.0ms	(/.f64 t (-.f64 1 z))

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	3246
1	4948	3246

prune517.0ms (8.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	161	10	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	10	172

Merged error: 0.9b

Counts

172 → 10

Compiler

Compiled 10127 to 6756 computations (33.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
0.0b	(/.f64 t (-.f64 1 z))
2.4b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
5.5b	(*.f64 x (/.f64 y z))

rewrite61.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-sqr-sqrt_binary64_7669`
75×	`*-un-lft-identity_binary64_7647`
65×	`associate-r_binary64_7587`
64×	`times-frac_binary64_7653`
45×	`add-cube-cbrt_binary64_7682`
24×	`distribute-rgt-neg-in_binary64_7605` `distribute-lft-neg-in_binary64_7604`
20×	`difference-of-squares_binary64_7616`
13×	`add-cbrt-cube_binary64_7683` `add-exp-log_binary64_7685`
10×	`distribute-lft-out--_binary64_7599`
8×	`pow1_binary64_7708`
6×	`associate-l_binary64_7588` `add-log-exp_binary64_7686` `associate-/r*_binary64_7591` `associate-/r/_binary64_7593`
4×	`div-inv_binary64_7644` `associate-*r/_binary64_7589`
3×	`unswap-sqr_binary64_7615` `flip--_binary64_7622` `prod-exp_binary64_7696` `flip3--_binary64_7651` `cbrt-unprod_binary64_7680` `associate-/l*_binary64_7592`
2×	`distribute-rgt-neg-out_binary64_7607` `div-exp_binary64_7698` `distribute-neg-frac_binary64_7611` `pow-prod-down_binary64_7718` `cbrt-undiv_binary64_7681` `*-commutative_binary64_7578`
1×	`neg-mul-1_binary64_7643` `flip-+_binary64_7621` `sum-log_binary64_7738` `distribute-lft-out_binary64_7598` `+-commutative_binary64_7577` `unsub-neg_binary64_7641` `frac-2neg_binary64_7658` `clear-num_binary64_7646` `flip3-+_binary64_7650` `frac-add_binary64_7655`

Counts

4 → 156

Calls

4 calls:

21.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
9.0ms	(*.f64 x (/.f64 y z))
7.0ms	(/.f64 t (-.f64 1 z))
7.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))

series356.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
105.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
50.0ms	(/.f64 t (-.f64 1 z))
37.0ms	(*.f64 x (/.f64 y z))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4972	2352
1	4972	2352

prune421.0ms (6.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	161	7	168
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	165	13	178

Merged error: 0.1b

Counts

178 → 13

Compiler

Compiled 8949 to 5573 computations (37.7% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
2.4b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`associate-r_binary64_7587`
53×	`add-sqr-sqrt_binary64_7669`
48×	`*-un-lft-identity_binary64_7647`
38×	`times-frac_binary64_7653`
30×	`add-cube-cbrt_binary64_7682`
24×	`add-exp-log_binary64_7685` `distribute-rgt-neg-in_binary64_7605` `distribute-lft-neg-in_binary64_7604`
16×	`add-cbrt-cube_binary64_7683`
12×	`difference-of-squares_binary64_7616`
10×	`prod-exp_binary64_7696` `cbrt-unprod_binary64_7680`
8×	`pow1_binary64_7708`
6×	`cbrt-prod_binary64_7678` `associate-l_binary64_7588` `distribute-lft-out--_binary64_7599`
4×	`div-exp_binary64_7698` `add-log-exp_binary64_7686` `associate-/r/_binary64_7593` `cbrt-undiv_binary64_7681`
3×	`unswap-sqr_binary64_7615` `div-inv_binary64_7644`
2×	`flip--_binary64_7622` `flip3--_binary64_7651` `pow-prod-down_binary64_7718` `associate-r/_binary64_7589` `pow1/3_binary64_7729` `-commutative_binary64_7578`
1×	`distribute-rgt-neg-out_binary64_7607` `neg-mul-1_binary64_7643` `distribute-neg-frac_binary64_7611`

Counts

4 → 121

Calls

4 calls:

22.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
15.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series585.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
160.0ms	(cbrt.f64 y)
154.0ms	(cbrt.f64 y)
108.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4940	1738
1	4940	1738

prune184.0ms (3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	133	13	146

Merged error: 0.0b

Counts

146 → 13

Compiler

Compiled 5029 to 1856 computations (63.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.4b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
3.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

rewrite63.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`associate-r_binary64_7587`
61×	`add-sqr-sqrt_binary64_7669`
59×	`*-un-lft-identity_binary64_7647`
54×	`times-frac_binary64_7653`
41×	`add-cube-cbrt_binary64_7682`
27×	`add-exp-log_binary64_7685`
24×	`distribute-rgt-neg-in_binary64_7605` `distribute-lft-neg-in_binary64_7604`
20×	`add-cbrt-cube_binary64_7683`
15×	`cbrt-prod_binary64_7678` `pow1_binary64_7708`
13×	`prod-exp_binary64_7696` `cbrt-unprod_binary64_7680`
12×	`difference-of-squares_binary64_7616`
7×	`pow-prod-down_binary64_7718`
6×	`distribute-lft-out--_binary64_7599`
4×	`associate-l_binary64_7588` `add-log-exp_binary64_7686` `associate-/r/_binary64_7593`
3×	`div-exp_binary64_7698` `div-inv_binary64_7644` `cbrt-undiv_binary64_7681`
2×	`flip--_binary64_7622` `flip3--_binary64_7651` `associate-r/_binary64_7589` `pow1/3_binary64_7729` `-commutative_binary64_7578`
1×	`distribute-rgt-neg-out_binary64_7607` `neg-mul-1_binary64_7643` `unswap-sqr_binary64_7615` `distribute-neg-frac_binary64_7611`

Counts

4 → 138

Calls

4 calls:

25.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
17.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series513.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt.f64 y)
159.0ms	(cbrt.f64 y)
116.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
72.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5101	1796

prune164.0ms (2.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	151	12	163

Merged error: 0.0b

Counts

163 → 12

Compiler

Compiled 4114 to 1722 computations (58.1% saved)

regimes417.0ms (6.9%)

Compiler: Compiled 1823 to 1359 computations (25.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	43
1	62	43

end0.0ms (0%)

sample946.0ms (15.6%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	128	valid
70.0ms	1790×	body	128	invalid

Compiler

Compiled 390 to 280 computations (28.2% saved)

Details

analyze658.0ms (10.9%)

sample27.0ms (0.4%)

simplify405.0ms (6.7%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite94.0ms (1.5%)

series266.0ms (4.4%)

simplify86.0ms (1.4%)

prune517.0ms (8.5%)

localize12.0ms (0.2%)

rewrite61.0ms (1%)

series356.0ms (5.9%)

simplify55.0ms (0.9%)

prune421.0ms (6.9%)

localize21.0ms (0.4%)

rewrite57.0ms (0.9%)

series585.0ms (9.7%)

simplify75.0ms (1.2%)

prune184.0ms (3%)

localize15.0ms (0.2%)

rewrite63.0ms (1%)

series513.0ms (8.5%)

simplify51.0ms (0.8%)

prune164.0ms (2.7%)

regimes417.0ms (6.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample946.0ms (15.6%)

Profiling