Details

analyze762.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4879	216
1	4879	216
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
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample39.0ms (0.4%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
2.0ms	23×	body	128	nan
1.0ms	11×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify381.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (375.0ms)

Iter	Nodes	Cost
0	4219	54
1	4219	54

prune6.0ms (0.1%)

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

21.5b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite152.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

Rules

13×	`add-sqr-sqrt_binary64_100`
11×	`*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117`
7×	`add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94`
6×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-div_binary64_95`
3×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `difference-of-squares_binary64_47`
1×	`diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8`

Counts

4 → 59

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2821 to 1660 computations (41.2% saved)

series652.0ms (6.8%)

Error

6.4b

Counts

4 → 62

Calls

4 calls:

174.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
147.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
138.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
102.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 6090 to 4189 computations (31.2% saved)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5036	2106

prune206.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	5	122

Error

6.3b

Counts

122 → 5

Compiler

Compiled 4880 to 2783 computations (43% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite146.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

24×	`*-un-lft-identity_binary64_78`
15×	`add-sqr-sqrt_binary64_100`
14×	`add-cube-cbrt_binary64_113`
12×	`times-frac_binary64_84`
8×	`add-log-exp_binary64_117`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `distribute-lft-out_binary64_29`
4×	`associate-/l*_binary64_23`
3×	`sqrt-prod_binary64_94` `associate-/r*_binary64_22`
2×	`flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52` `associate-/l/_binary64_25`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `sum-log_binary64_169` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2917 to 1612 computations (44.7% saved)

series611.0ms (6.4%)

Error

6.3b

Counts

4 → 60

Calls

4 calls:

164.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
153.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
130.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
101.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4265 to 2971 computations (30.3% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5040	2461

prune191.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	130	7	137

Error

6.3b

Counts

137 → 7

Compiler

Compiled 4355 to 2288 computations (47.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite296.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

102×	`times-frac_binary64_84`
82×	`*-un-lft-identity_binary64_78`
57×	`add-sqr-sqrt_binary64_100`
56×	`add-cube-cbrt_binary64_113`
18×	`associate-/r*_binary64_22`
15×	`add-exp-log_binary64_116`
13×	`distribute-lft-out_binary64_29`
9×	`add-cbrt-cube_binary64_114` `associate-/r/_binary64_24`
8×	`add-log-exp_binary64_117`
7×	`div-exp_binary64_129`
6×	`pow1_binary64_139`
5×	`flip3-+_binary64_81` `flip-+_binary64_52` `div-inv_binary64_75`
3×	`sqrt-prod_binary64_94` `cbrt-undiv_binary64_112` `associate-/l*_binary64_23`
2×	`flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53` `1-exp_binary64_122` `rec-exp_binary64_128`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `sum-log_binary64_169` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

4 → 135

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6210 to 3403 computations (45.2% saved)

series619.0ms (6.5%)

Error

6.3b

Counts

4 → 60

Calls

4 calls:

171.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
149.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
133.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
100.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4503 to 3211 computations (28.7% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4945	4947
1	4945	4947

prune338.0ms (3.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	195	7	202

Error

6.3b

Counts

202 → 7

Compiler

Compiled 7293 to 3921 computations (46.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (/.f64 1 a))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite167.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

21×	`add-sqr-sqrt_binary64_100`
18×	`*-un-lft-identity_binary64_78`
13×	`add-exp-log_binary64_116` `add-cube-cbrt_binary64_113` `associate-r_binary64_18`
11×	`times-frac_binary64_84`
9×	`add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117`
7×	`pow1_binary64_139`
4×	`prod-exp_binary64_127` `associate-l_binary64_19`
3×	`sqrt-prod_binary64_94` `flip3-+_binary64_81` `flip-+_binary64_52` `unswap-sqr_binary64_46`
2×	`flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53` `distribute-lft-out_binary64_29` `div-exp_binary64_129` `cbrt-unprod_binary64_111` `frac-times_binary64_88` `associate-*l/_binary64_21`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `sum-log_binary64_169` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `pow-prod-down_binary64_149` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `un-div-inv_binary64_76` `associate-r/_binary64_20` `div-inv_binary64_75` `-commutative_binary64_9`

Counts

4 → 80

Calls

4 calls:

13.0ms	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (/.f64 1 a))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 3377 to 1964 computations (41.8% saved)

series589.0ms (6.1%)

Error

6.3b

Counts

4 → 60

Calls

4 calls:

153.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
142.0ms	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (/.f64 1 a))
128.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
99.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4503 to 3218 computations (28.5% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4940	2501
1	4940	2501

prune199.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	140	7	147

Error

6.3b

Counts

147 → 7

Compiler

Compiled 4508 to 2455 computations (45.5% saved)

regimes909.0ms (9.5%)

Accuracy

Total 1.3b remaining (19%)

Threshold costs 0b (0%)

Compiler

Compiled 9602 to 6710 computations (30.1% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	161	459
1	161	459

end0.0ms (0%)

sample2.9s (30.5%)

Algorithm

1×

intervals

Results

681.0ms	8000×	body	128	valid
51.0ms	659×	body	128	nan
30.0ms	378×	body	128	invalid

Compiler

Compiled 2722 to 1870 computations (31.3% saved)

Details

analyze762.0ms (8%)

sample39.0ms (0.4%)

simplify381.0ms (4%)

prune6.0ms (0.1%)

localize21.0ms (0.2%)

rewrite152.0ms (1.6%)

series652.0ms (6.8%)

simplify42.0ms (0.4%)

prune206.0ms (2.2%)

localize21.0ms (0.2%)

rewrite146.0ms (1.5%)

series611.0ms (6.4%)

simplify64.0ms (0.7%)

prune191.0ms (2%)

localize25.0ms (0.3%)

rewrite296.0ms (3.1%)

series619.0ms (6.5%)

simplify105.0ms (1.1%)

prune338.0ms (3.5%)

localize22.0ms (0.2%)

rewrite167.0ms (1.7%)

series589.0ms (6.1%)

simplify82.0ms (0.9%)

prune199.0ms (2.1%)

regimes909.0ms (9.5%)

bsearch7.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.9s (30.5%)

Profiling