Details

analyze313.0ms (3.3%)

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)

sample33.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify318.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4906	16
1	4906	16

prune4.0ms (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: 0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.6b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite71.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_84`
181×	`add-sqr-sqrt_binary64_100`
174×	`*-un-lft-identity_binary64_78`
86×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
19×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
10×	`associate-/r*_binary64_22`
9×	`add-cbrt-cube_binary64_114` `div-inv_binary64_75` `add-exp-log_binary64_116`
8×	`flip-+_binary64_52` `flip3-+_binary64_81`
4×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
2×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow1_binary64_139`
1×	`flip3--_binary64_82` `flip--_binary64_53` `associate-/l/_binary64_25`

Counts

2 → 182

Calls

2 calls:

30.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
12.0ms	(/.f64 v (+.f64 t1 u))

series236.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

153.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
83.0ms	(/.f64 v (+.f64 t1 u))

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5405	5524

prune228.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	182	8	190

Merged error: 0.2b

Counts

190 → 8

Compiler

Compiled 4387 to 1508 computations (65.6% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.4b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
0.7b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite234.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

1354×	`times-frac_binary64_84`
924×	`add-sqr-sqrt_binary64_100`
845×	`*-un-lft-identity_binary64_78`
469×	`add-cube-cbrt_binary64_113`
182×	`difference-of-squares_binary64_47`
135×	`associate-/r*_binary64_22`
97×	`distribute-lft-out_binary64_29`
91×	`distribute-lft-out--_binary64_30`
70×	`associate-/r/_binary64_24`
38×	`div-inv_binary64_75`
32×	`flip-+_binary64_52` `flip3-+_binary64_81`
31×	`add-exp-log_binary64_116`
19×	`add-cbrt-cube_binary64_114` `div-exp_binary64_129`
12×	`associate-/l*_binary64_23`
10×	`cbrt-undiv_binary64_112`
4×	`pow1_binary64_139`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77`
2×	`associate-/l/_binary64_25`
1×	`inv-pow_binary64_163` `flip3--_binary64_82` `pow-flip_binary64_152` `flip--_binary64_53` `div-sub_binary64_83`

Counts

3 → 663

Calls

3 calls:

51.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
39.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
11.0ms	(/.f64 v (+.f64 t1 u))

series544.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

366.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
99.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
78.0ms	(/.f64 v (+.f64 t1 u))

simplify279.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

672 → 672

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4989	23714
1	4989	23714

prune1.5s (15.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	671	1	672
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	672	8	680

Merged error: 0.2b

Counts

680 → 8

Compiler

Compiled 18420 to 7309 computations (60.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
8.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.6b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite87.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
18×	`cbrt-div_binary64_110` `cbrt-prod_binary64_109`
16×	`add-exp-log_binary64_116`
13×	`*-un-lft-identity_binary64_78`
9×	`flip3--_binary64_82` `flip--_binary64_53`
8×	`add-cbrt-cube_binary64_114` `associate-/r/_binary64_24`
7×	`add-cube-cbrt_binary64_113`
6×	`difference-of-squares_binary64_47`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `times-frac_binary64_84` `frac-times_binary64_88` `pow1_binary64_139`
3×	`distribute-lft-out--_binary64_30` `pow1/3_binary64_160`
2×	`associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22` `clear-num_binary64_77`

Counts

4 → 77

Calls

4 calls:

27.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
16.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
15.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
13.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series1.9s (20.4%)

Counts

4 → 12

Calls

4 calls:

632.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
446.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
439.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
427.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4901	1657
1	4901	1657

prune191.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	89	8	97

Merged error: 0.2b

Counts

97 → 8

Compiler

Compiled 3468 to 1568 computations (54.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 (+.f64 t1 u))
0.6b	(cbrt.f64 (+.f64 t1 u))
0.6b	(cbrt.f64 (+.f64 t1 u))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_109`
14×	`*-un-lft-identity_binary64_78`
8×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
6×	`cbrt-div_binary64_110`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`flip-+_binary64_52` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`

Counts

4 → 53

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 t1 u))
4.0ms	(cbrt.f64 (+.f64 t1 u))
4.0ms	(cbrt.f64 (+.f64 t1 u))
1.0ms	(cbrt.f64 v)

series1.1s (11.1%)

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt.f64 (+.f64 t1 u))
299.0ms	(cbrt.f64 (+.f64 t1 u))
262.0ms	(cbrt.f64 (+.f64 t1 u))
180.0ms	(cbrt.f64 v)

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4806	742
1	4806	742

prune115.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	65	8	73

Merged error: 0.2b

Counts

73 → 8

Compiler

Compiled 2232 to 551 computations (75.3% saved)

regimes439.0ms (4.6%)

Compiler: Compiled 3271 to 2142 computations (34.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.5s (15.9%)

Algorithm

1×

intervals

Results

372.0ms	8000×	body	128	valid
14.0ms	251×	body	128	invalid

Compiler

Compiled 825 to 541 computations (34.4% saved)

Details

analyze313.0ms (3.3%)

sample33.0ms (0.3%)

simplify318.0ms (3.3%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite71.0ms (0.7%)

series236.0ms (2.5%)

simplify138.0ms (1.4%)

prune228.0ms (2.4%)

localize19.0ms (0.2%)

rewrite234.0ms (2.4%)

series544.0ms (5.7%)

simplify279.0ms (2.9%)

prune1.5s (15.7%)

localize25.0ms (0.3%)

rewrite87.0ms (0.9%)

series1.9s (20.4%)

simplify83.0ms (0.9%)

prune191.0ms (2%)

localize20.0ms (0.2%)

rewrite18.0ms (0.2%)

series1.1s (11.1%)

simplify117.0ms (1.2%)

prune115.0ms (1.2%)

regimes439.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.5s (15.9%)

Profiling