Details

analyze656.0ms (11.1%)

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)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	57×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify255.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (248.0ms)

Iter	Nodes	Cost
0	1430	16
1	1430	16

prune3.0ms (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: 4.8b

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))
4.6b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite87.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64`
107×	`*-un-lft-identity_binary64`
88×	`times-frac_binary64`
72×	`cancel-sign-sub-inv_binary64`
46×	`add-cube-cbrt_binary64`
34×	`difference-of-squares_binary64`
25×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
21×	`distribute-lft-out--_binary64`
10×	`associate-r_binary64`
8×	`associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`div-inv_binary64`
3×	`sub-neg_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`frac-sub_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 162

Calls

3 calls:

35.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
26.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
7.0ms	(/.f64 t (-.f64 1 z))

series279.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

153.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
76.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
49.0ms	(/.f64 t (-.f64 1 z))

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4949	3246
1	4949	3246

prune477.0ms (8.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	159	12	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	13	172

Merged error: 1.1b

Counts

172 → 13

Compiler

Compiled 9353 to 6110 computations (34.7% saved)

localize13.0ms (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))
2.7b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
7.4b	(*.f64 x (/.f64 y z))

rewrite57.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`
65×	`associate-r_binary64`
64×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
20×	`difference-of-squares_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`distribute-lft-out--_binary64`
8×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `associate-l*_binary64`
4×	`associate-*r/_binary64` `div-inv_binary64`
3×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `distribute-rgt-neg-out_binary64` `cbrt-undiv_binary64` `distribute-neg-frac_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `neg-mul-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

4 → 156

Calls

4 calls:

19.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
8.0ms	(*.f64 x (/.f64 y z))
6.0ms	(/.f64 t (-.f64 1 z))
6.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))

series345.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
107.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
59.0ms	(/.f64 t (-.f64 1 z))
36.0ms	(*.f64 x (/.f64 y z))

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4976	2352
1	4976	2352

prune499.0ms (8.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	159	9	168
Fresh	5	6	11
Picked	1	0	1
Done	1	0	1
Total	166	15	181

Merged error: 0.0b

Counts

181 → 15

Compiler

Compiled 9919 to 6286 computations (36.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.4b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
2.7b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`associate-r_binary64`
53×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
24×	`add-exp-log_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
16×	`add-cbrt-cube_binary64`
12×	`difference-of-squares_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow1_binary64`
6×	`associate-l_binary64` `distribute-lft-out--_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `pow1/3_binary64` `flip--_binary64` `-commutative_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-neg-frac_binary64`

Counts

4 → 121

Calls

4 calls:

20.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
13.0ms	(.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)

series569.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt.f64 y)
157.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
147.0ms	(cbrt.f64 y)
106.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

simplify80.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4943	1738
1	4943	1738

prune193.0ms (3.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	133	15	148

Merged error: 0b

Counts

148 → 15

Compiler

Compiled 5077 to 1898 computations (62.6% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.4b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
2.7b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

rewrite58.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`associate-r_binary64`
53×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
24×	`add-exp-log_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
16×	`add-cbrt-cube_binary64`
12×	`difference-of-squares_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow1_binary64`
6×	`associate-l_binary64` `distribute-lft-out--_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `pow1/3_binary64` `flip--_binary64` `-commutative_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-neg-frac_binary64`

Counts

4 → 121

Calls

4 calls:

20.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
14.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series591.0ms (10%)

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))))
156.0ms	(cbrt.f64 y)
154.0ms	(cbrt.f64 y)
115.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4943	1738
1	4943	1738

prune173.0ms (2.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	133	15	148

Merged error: 0b

Counts

148 → 15

Compiler

Compiled 5605 to 1441 computations (74.3% saved)

regimes213.0ms (3.6%)

Compiler: Compiled 2166 to 1635 computations (24.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	43
1	62	43

end0.0ms (0%)

sample996.0ms (16.9%)

Algorithm

1×

intervals

Results

315.0ms	8000×	body	128	valid
71.0ms	1722×	body	128	invalid

Compiler

Compiled 441 to 321 computations (27.2% saved)

Details

analyze656.0ms (11.1%)

sample22.0ms (0.4%)

simplify255.0ms (4.3%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite87.0ms (1.5%)

series279.0ms (4.7%)

simplify89.0ms (1.5%)

prune477.0ms (8.1%)

localize13.0ms (0.2%)

rewrite57.0ms (1%)

series345.0ms (5.8%)

simplify50.0ms (0.8%)

prune499.0ms (8.5%)

localize19.0ms (0.3%)

rewrite53.0ms (0.9%)

series569.0ms (9.6%)

simplify80.0ms (1.4%)

prune193.0ms (3.3%)

localize27.0ms (0.5%)

rewrite58.0ms (1%)

series591.0ms (10%)

simplify78.0ms (1.3%)

prune173.0ms (2.9%)

regimes213.0ms (3.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample996.0ms (16.9%)

Profiling