Details

analyze773.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4929	64
1	4929	64
0	3	3
1	3	3

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)

sample29.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify278.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (269.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune9.0ms (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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.1b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite82.0ms (0.6%)

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:

29.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
9.0ms	(/.f64 v (+.f64 t1 u))

series502.0ms (3.7%)

Counts

2 → 42

Calls

2 calls:

339.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
162.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 1016 to 818 computations (19.5% saved)

simplify184.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5178	6449

prune385.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	219	5	224
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	219	7	226

Error

0.0b

Counts

226 → 7

Compiler

Compiled 5099 to 1764 computations (65.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(/.f64 v (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
6.5b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.5b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.5b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite80.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_100`
18×	`cbrt-div_binary64_110` `cbrt-prod_binary64_109`
15×	`*-un-lft-identity_binary64_78`
9×	`add-cube-cbrt_binary64_113` `flip3--_binary64_82` `flip--_binary64_53` `add-exp-log_binary64_116`
8×	`associate-/r/_binary64_24`
7×	`add-cbrt-cube_binary64_114`
6×	`times-frac_binary64_84` `difference-of-squares_binary64_47`
4×	`add-log-exp_binary64_117` `frac-times_binary64_88` `pow1_binary64_139`
3×	`distribute-lft-out--_binary64_30` `pow1/3_binary64_160` `associate-/l*_binary64_23`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/r*_binary64_22` `clear-num_binary64_77`

Counts

4 → 77

Calls

4 calls:

31.0ms	(/.f64 v (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
12.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
11.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
11.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series1.8s (13.3%)

Counts

4 → 62

Calls

4 calls:

945.0ms	(/.f64 v (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
280.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
279.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
274.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 4358 to 3513 computations (19.4% saved)

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5004	3375

prune410.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	139	7	146

Error

0.0b

Counts

146 → 7

Compiler

Compiled 5194 to 2915 computations (43.9% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.6b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
1.1b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite285.0ms (2.1%)

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:

60.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
29.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
9.0ms	(/.f64 v (+.f64 t1 u))

series934.0ms (7%)

Counts

3 → 63

Calls

3 calls:

433.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
325.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
175.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 1546 to 1282 computations (17.1% saved)

simplify401.0ms (3%)

Algorithm

1×	egg-herbie

Counts

726 → 726

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5211	24993

prune1.9s (14.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	726	0	726
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	726	7	733

Error

0.0b

Counts

733 → 7

Compiler

Compiled 19417 to 7639 computations (60.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (cbrt.f64 (/.f64 v (+.f64 t1 u)))) (cbrt.f64 (/.f64 v (+.f64 t1 u)))) (-.f64 -1 (/.f64 u t1)))
10.3b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
10.3b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
10.3b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

rewrite125.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64_109`
52×	`*-un-lft-identity_binary64_78`
44×	`times-frac_binary64_84`
40×	`add-sqr-sqrt_binary64_100`
30×	`add-cube-cbrt_binary64_113`
15×	`cbrt-div_binary64_110`
13×	`add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114` `distribute-lft-out_binary64_29`
8×	`associate-/r/_binary64_24`
7×	`associate-/l/_binary64_25`
6×	`associate-/r*_binary64_22`
5×	`frac-times_binary64_88` `associate-*l/_binary64_21`
4×	`add-log-exp_binary64_117` `div-inv_binary64_75` `difference-of-squares_binary64_47` `pow1_binary64_139`
3×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `flip-+_binary64_52` `pow1/3_binary64_160` `associate-*r/_binary64_20` `flip3-+_binary64_81`
2×	`distribute-lft-out--_binary64_30`
1×	`flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `associate-/l*_binary64_23` `clear-num_binary64_77`

Counts

4 → 119

Calls

4 calls:

69.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (cbrt.f64 (/.f64 v (+.f64 t1 u)))) (cbrt.f64 (/.f64 v (+.f64 t1 u)))) (-.f64 -1 (/.f64 u t1)))
10.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
10.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
10.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

series1.6s (12.3%)

Counts

4 → 57

Calls

4 calls:

426.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
416.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
406.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 v (+.f64 t1 u))) (cbrt.f64 (/.f64 v (+.f64 t1 u)))) (cbrt.f64 (/.f64 v (+.f64 t1 u)))) (-.f64 -1 (/.f64 u t1)))
395.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

Compiler

Compiled 3125 to 2225 computations (28.8% saved)

simplify179.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4980	3514
1	4980	3514

prune275.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	176	7	183

Error

0.0b

Counts

183 → 7

Compiler

Compiled 5036 to 1310 computations (74% saved)

regimes602.0ms (4.5%)

Accuracy

Total 1.6b remaining (91.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3802 to 2502 computations (34.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	43
1	33	43

end0.0ms (0%)

sample2.4s (17.6%)

Algorithm

1×

intervals

Results

515.0ms	8000×	body	128	valid
16.0ms	248×	body	128	invalid

Compiler

Compiled 984 to 649 computations (34% saved)

Details

analyze773.0ms (5.8%)

sample29.0ms (0.2%)

simplify278.0ms (2.1%)

prune9.0ms (0.1%)

localize15.0ms (0.1%)

rewrite82.0ms (0.6%)

series502.0ms (3.7%)

simplify184.0ms (1.4%)

prune385.0ms (2.9%)

localize29.0ms (0.2%)

rewrite80.0ms (0.6%)

series1.8s (13.3%)

simplify98.0ms (0.7%)

prune410.0ms (3.1%)

localize18.0ms (0.1%)

rewrite285.0ms (2.1%)

series934.0ms (7%)

simplify401.0ms (3%)

prune1.9s (14.1%)

localize25.0ms (0.2%)

rewrite125.0ms (0.9%)

series1.6s (12.3%)

simplify179.0ms (1.3%)

prune275.0ms (2.1%)

regimes602.0ms (4.5%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.4s (17.6%)

Profiling