Details

analyze743.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample44.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	170×	body	128	valid
10.0ms	40×	body	2048	valid
4.0ms	20×	body	1024	valid
2.0ms	8×	body	4096	valid
2.0ms	12×	body	512	valid
1.0ms	20×	body	128	nan
1.0ms	17×	body	128	invalid
1.0ms	6×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify270.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

31.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite160.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

31.0b

Rules

21×	`add-sqr-sqrt_binary64_4533`
14×	`*-un-lft-identity_binary64_4511`
9×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
8×	`add-log-exp_binary64_4550` `add-cube-cbrt_binary64_4546`
6×	`sqrt-prod_binary64_4527` `difference-of-squares_binary64_4480` `times-frac_binary64_4517` `associate-/l*_binary64_4456`
5×	`pow1_binary64_4572`
4×	`flip3--_binary64_4515` `flip--_binary64_4486` `cancel-sign-sub-inv_binary64_4477`
3×	`distribute-lft-out--_binary64_4463`
2×	`sqrt-div_binary64_4528` `diff-log_binary64_4603` `sub-neg_binary64_4504` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `associate-/l/_binary64_4458`
1×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `frac-2neg_binary64_4522` `div-sub_binary64_4516` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/r*_binary64_4455`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.1s (7.7%)

Error

4.7b

Counts

4 → 71

Calls

4 calls:

376.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
235.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
223.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
200.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3311 to 2539 computations (23.3% saved)

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4943	2937
1	4943	2937

prune182.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	133	12	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	133	13	146

Error

4.6b

Counts

146 → 13

Compiler

Compiled 3086 to 1686 computations (45.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 a c))
0.4b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite105.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

12×	`add-sqr-sqrt_binary64_4533`
10×	`pow1_binary64_4572`
9×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `*-un-lft-identity_binary64_4511`
8×	`add-log-exp_binary64_4550`
7×	`add-cube-cbrt_binary64_4546`
4×	`sqrt-prod_binary64_4527` `cancel-sign-sub-inv_binary64_4477`
3×	`flip3--_binary64_4515` `flip--_binary64_4486` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `associate-l_binary64_4452`
2×	`sqrt-div_binary64_4528` `diff-log_binary64_4603` `sub-neg_binary64_4504` `difference-of-squares_binary64_4480`
1×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `distribute-lft-out--_binary64_4463` `associate-r_binary64_4451` `*-commutative_binary64_4442`

Counts

4 → 62

Calls

4 calls:

10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
5.0ms	(.f64 3 (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 1583 to 833 computations (47.4% saved)

series758.0ms (5.3%)

Error

4.6b

Counts

4 → 58

Calls

4 calls:

228.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
227.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
180.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
74.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2619 to 1980 computations (24.4% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4910	1802
1	4910	1802

prune128.0ms (0.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	120	13	133

Error

4.6b

Counts

133 → 13

Compiler

Compiled 2418 to 1332 computations (44.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.0b	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
8.9b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite549.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

274×	`times-frac_binary64_4517`
140×	`*-un-lft-identity_binary64_4511`
111×	`add-sqr-sqrt_binary64_4533`
110×	`add-cube-cbrt_binary64_4546`
35×	`associate-/l*_binary64_4456`
33×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
26×	`associate-/r/_binary64_4457`
18×	`div-inv_binary64_4508`
15×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `distribute-lft-out_binary64_4462`
14×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
7×	`associate-/r*_binary64_4455`
6×	`add-log-exp_binary64_4550` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544`
5×	`pow1_binary64_4572`
3×	`sqrt-prod_binary64_4527`
2×	`sqrt-div_binary64_4528` `frac-2neg_binary64_4522` `clear-num_binary64_4510`
1×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `flip3--_binary64_4515` `flip--_binary64_4486` `rem-sqrt-square_binary64_4524` `associate-/l/_binary64_4458` `sum-log_binary64_4602` `+-commutative_binary64_4441`

Counts

4 → 214

Calls

4 calls:

23.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
12.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 9294 to 5213 computations (43.9% saved)

series1.2s (8.1%)

Error

4.6b

Counts

4 → 63

Calls

4 calls:

391.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
390.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
173.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3688 to 2696 computations (26.9% saved)

simplify156.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4928	11043
1	4928	11043

prune546.0ms (3.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	274	3	277
Fresh	3	7	10
Picked	0	1	1
Done	1	1	2
Total	278	12	290

Error

4.6b

Counts

290 → 12

Compiler

Compiled 9387 to 5251 computations (44.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 a c))
0.4b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite108.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

12×	`add-sqr-sqrt_binary64_4533`
10×	`pow1_binary64_4572`
9×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `*-un-lft-identity_binary64_4511`
8×	`add-log-exp_binary64_4550`
7×	`add-cube-cbrt_binary64_4546`
4×	`sqrt-prod_binary64_4527` `cancel-sign-sub-inv_binary64_4477`
3×	`flip3--_binary64_4515` `flip--_binary64_4486` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `associate-l_binary64_4452`
2×	`sqrt-div_binary64_4528` `diff-log_binary64_4603` `sub-neg_binary64_4504` `difference-of-squares_binary64_4480`
1×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `distribute-lft-out--_binary64_4463` `associate-r_binary64_4451` `*-commutative_binary64_4442`

Counts

4 → 62

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
5.0ms	(.f64 3 (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 1707 to 957 computations (43.9% saved)

series793.0ms (5.5%)

Error

4.6b

Counts

4 → 58

Calls

4 calls:

235.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
221.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
201.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
76.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2917 to 2270 computations (22.2% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4910	1802
1	4910	1802

prune134.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	119	13	132

Error

4.6b

Counts

132 → 13

Compiler

Compiled 2485 to 1416 computations (43% saved)

regimes3.1s (21.7%)

Accuracy

Total 3.2b remaining (36.1%)

Threshold costs 0b (0%)

Compiler

Compiled 17445 to 13056 computations (25.2% saved)

bsearch136.0ms (0.9%)

Steps

Iters	Range		Point
5	2.973684382353402e+36	6.450750271850582e+36	5.632271499779473e+36
10	2.024691206096674e-126	1.5947746592066064e-114	2.053250763506355e-126
10	-3.691296393175786e+37	-6.709671970729297e+27	-3.657670422663459e+37

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	138	168
1	138	168

end0.0ms (0%)

sample3.9s (26.9%)

Algorithm

1×

intervals

Results

289.0ms	1152×	body	2048	valid
272.0ms	5159×	body	128	valid
148.0ms	737×	body	1024	valid
116.0ms	360×	body	4096	valid
63.0ms	391×	body	512	valid
31.0ms	635×	body	128	nan
22.0ms	393×	body	128	invalid
20.0ms	201×	body	256	valid

Compiler

Compiled 3395 to 2537 computations (25.3% saved)

Details

analyze743.0ms (5.2%)

sample44.0ms (0.3%)

simplify270.0ms (1.9%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite160.0ms (1.1%)

series1.1s (7.7%)

simplify85.0ms (0.6%)

prune182.0ms (1.3%)

localize11.0ms (0.1%)

rewrite105.0ms (0.7%)

series758.0ms (5.3%)

simplify82.0ms (0.6%)

prune128.0ms (0.9%)

localize14.0ms (0.1%)

rewrite549.0ms (3.8%)

series1.2s (8.1%)

simplify156.0ms (1.1%)

prune546.0ms (3.8%)

localize13.0ms (0.1%)

rewrite108.0ms (0.8%)

series793.0ms (5.5%)

simplify82.0ms (0.6%)

prune134.0ms (0.9%)

regimes3.1s (21.7%)

bsearch136.0ms (0.9%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.9s (26.9%)

Profiling