Details

analyze250.0ms (4.2%)

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	7×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify228.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4906	16
1	4906	16

prune6.0ms (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: 0.6b

Counts

2 → 2

Compiler

Compiled 57 to 43 computations (24.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
2.7b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_85`
181×	`add-sqr-sqrt_binary64_101`
174×	`*-un-lft-identity_binary64_79`
86×	`add-cube-cbrt_binary64_114`
38×	`difference-of-squares_binary64_48`
25×	`distribute-lft-out_binary64_30`
21×	`associate-/l*_binary64_24`
19×	`distribute-lft-out--_binary64_31`
18×	`associate-/r/_binary64_25`
10×	`associate-/r*_binary64_23`
9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `div-inv_binary64_76`
8×	`flip-+_binary64_53` `flip3-+_binary64_82`
4×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
2×	`add-log-exp_binary64_118` `clear-num_binary64_78` `frac-2neg_binary64_90` `pow1_binary64_140`
1×	`flip--_binary64_54` `flip3--_binary64_83` `associate-/l/_binary64_26`

Counts

2 → 182

Calls

2 calls:

21.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series182.0ms (3%)

Counts

2 → 6

Calls

2 calls:

128.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
54.0ms	(/.f64 v (+.f64 t1 u))

simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5405	5524

prune467.0ms (7.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	180	8	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	180	10	190

Merged error: 0.3b

Counts

190 → 10

Compiler

Compiled 10401 to 5237 computations (49.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
9.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite57.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_101`
18×	`cbrt-div_binary64_111` `cbrt-prod_binary64_110`
16×	`add-exp-log_binary64_117`
13×	`*-un-lft-identity_binary64_79`
9×	`flip--_binary64_54` `flip3--_binary64_83`
8×	`add-cbrt-cube_binary64_115` `associate-/r/_binary64_25`
7×	`add-cube-cbrt_binary64_114`
6×	`difference-of-squares_binary64_48`
4×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `times-frac_binary64_85` `frac-times_binary64_89` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `add-log-exp_binary64_118` `pow1_binary64_140`
3×	`distribute-lft-out--_binary64_31` `pow1/3_binary64_161`
2×	`associate-l/_binary64_22` `associate-r/_binary64_21`
1×	`associate-/r_binary64_23` `div-inv_binary64_76` `associate-/l_binary64_24` `clear-num_binary64_78` `frac-2neg_binary64_90`

Counts

4 → 77

Calls

4 calls:

26.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series1.4s (24.1%)

Counts

4 → 12

Calls

4 calls:

482.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
333.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
315.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
314.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4901	1657
1	4901	1657

prune153.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	89	10	99

Merged error: 0.3b

Counts

99 → 10

Compiler

Compiled 3777 to 1776 computations (53% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(/.f64 v (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
9.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_101`
18×	`cbrt-div_binary64_111` `cbrt-prod_binary64_110`
15×	`*-un-lft-identity_binary64_79`
9×	`add-exp-log_binary64_117` `add-cube-cbrt_binary64_114` `flip--_binary64_54` `flip3--_binary64_83`
8×	`associate-/r/_binary64_25`
7×	`add-cbrt-cube_binary64_115`
6×	`times-frac_binary64_85` `difference-of-squares_binary64_48`
4×	`frac-times_binary64_89` `add-log-exp_binary64_118` `pow1_binary64_140`
3×	`distribute-lft-out--_binary64_31` `associate-/l*_binary64_24` `pow1/3_binary64_161`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `associate-l/_binary64_22` `associate-r/_binary64_21`
1×	`associate-/r*_binary64_23` `div-inv_binary64_76` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `clear-num_binary64_78` `frac-2neg_binary64_90`

Counts

4 → 77

Calls

4 calls:

19.0ms	(/.f64 v (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series1.4s (23.5%)

Counts

4 → 12

Calls

4 calls:

454.0ms	(/.f64 v (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
326.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
319.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
309.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5085	1585

prune172.0ms (2.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	88	11	99

Merged error: 0.3b

Counts

99 → 11

Compiler

Compiled 3704 to 2163 computations (41.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.3b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
2.5b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64_101`
74×	`times-frac_binary64_85`
71×	`*-un-lft-identity_binary64_79`
41×	`add-cube-cbrt_binary64_114`
31×	`add-exp-log_binary64_117`
24×	`associate-r_binary64_19`
19×	`add-cbrt-cube_binary64_115`
18×	`associate-l_binary64_20`
14×	`difference-of-squares_binary64_48`
11×	`div-exp_binary64_130`
10×	`associate-/r*_binary64_23`
8×	`prod-exp_binary64_128` `associate-/r/_binary64_25`
7×	`distribute-lft-out--_binary64_31` `distribute-lft-out_binary64_30`
6×	`cbrt-undiv_binary64_113` `associate-/l*_binary64_24` `unswap-sqr_binary64_47` `pow1_binary64_140`
4×	`div-inv_binary64_76` `cbrt-unprod_binary64_112`
3×	`1-exp_binary64_123` `rec-exp_binary64_129` `add-log-exp_binary64_118`
2×	`flip-+_binary64_53` `flip--_binary64_54` `clear-num_binary64_78` `flip3--_binary64_83` `flip3-+_binary64_82` `frac-2neg_binary64_90`
1×	`un-div-inv_binary64_77` `frac-times_binary64_89` `associate-l/_binary64_22` `associate-r/_binary64_21` `inv-pow_binary64_164` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `pow-flip_binary64_153`

Counts

3 → 151

Calls

3 calls:

29.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
10.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 v (+.f64 t1 u))

series230.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

132.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
52.0ms	(/.f64 v (+.f64 t1 u))
46.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5474	2687

prune168.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	2	5	7
Picked	0	1	1
Done	3	0	3
Total	162	9	171

Merged error: 0.3b

Counts

171 → 9

Compiler

Compiled 3678 to 1757 computations (52.2% saved)

regimes78.0ms (1.3%)

Compiler: Compiled 618 to 462 computations (25.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample619.0ms (10.3%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
8.0ms	261×	body	128	invalid

Compiler

Compiled 171 to 128 computations (25.1% saved)

Details

analyze250.0ms (4.2%)

sample19.0ms (0.3%)

simplify228.0ms (3.8%)

prune6.0ms (0.1%)

localize8.0ms (0.1%)

rewrite50.0ms (0.8%)

series182.0ms (3%)

simplify103.0ms (1.7%)

prune467.0ms (7.8%)

localize17.0ms (0.3%)

rewrite57.0ms (1%)

series1.4s (24.1%)

simplify70.0ms (1.2%)

prune153.0ms (2.5%)

localize13.0ms (0.2%)

rewrite49.0ms (0.8%)

series1.4s (23.5%)

simplify65.0ms (1.1%)

prune172.0ms (2.9%)

localize9.0ms (0.2%)

rewrite59.0ms (1%)

series230.0ms (3.8%)

simplify78.0ms (1.3%)

prune168.0ms (2.8%)

regimes78.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample619.0ms (10.3%)

Profiling