Details

analyze888.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4983	154
1	4983	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify156.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	5230	22

prune3.0ms (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

Error

27.3b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.2b	(-.f64 (.f64 b c) (.f64 a d))
26.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite95.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

Rules

11×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
9×	`times-frac_binary64_4858`
7×	`add-log-exp_binary64_4891`
5×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
3×	`pow1_binary64_4913` `associate-/l_binary64_4797` `associate-/r_binary64_4796`
2×	`flip3--_binary64_4856` `associate-/l/_binary64_4799` `flip--_binary64_4827` `flip3-+_binary64_4855` `associate-/r/_binary64_4798` `flip-+_binary64_4826`
1×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `div-inv_binary64_4849` `diff-log_binary64_4944` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

3 → 55

Calls

3 calls:

9.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(+.f64 (.f64 c c) (.f64 d d))
7.0ms	(-.f64 (.f64 b c) (.f64 a d))

Compiler

Compiled 1509 to 201 computations (86.7% saved)

series758.0ms (6.4%)

Error

4.3b

Counts

3 → 63

Calls

3 calls:

417.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
194.0ms	(-.f64 (.f64 b c) (.f64 a d))
100.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2250 to 1441 computations (36% saved)

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	6156	2125

prune129.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	9	119

Error

4.2b

Counts

119 → 9

Compiler

Compiled 2369 to 331 computations (86% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 c b) (.f64 d a))
17.8b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite120.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

23×	`add-sqr-sqrt_binary64_4874`
21×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
18×	`sqrt-prod_binary64_4868` `times-frac_binary64_4858`
6×	`pow1_binary64_4913` `add-log-exp_binary64_4891` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `sqrt-div_binary64_4869` `associate-/r*_binary64_4796`
3×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `associate-/l*_binary64_4797`
2×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `flip3--_binary64_4856` `associate-/l/_binary64_4799` `flip--_binary64_4827` `associate-/r/_binary64_4798`
1×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `div-inv_binary64_4849` `diff-log_binary64_4944` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
8.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 c b) (.f64 d a))

Compiler

Compiled 3272 to 353 computations (89.2% saved)

series1.0s (8.7%)

Error

4.2b

Counts

4 → 94

Calls

4 calls:

504.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
171.0ms	(-.f64 (.f64 c b) (.f64 d a))
146.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
118.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 5872 to 3148 computations (46.4% saved)

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4962	3760
1	4962	3760

prune180.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	176	4	180
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	178	11	189

Error

4.2b

Counts

189 → 11

Compiler

Compiled 5577 to 842 computations (84.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
17.8b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite311.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

95×	`add-sqr-sqrt_binary64_4874`
76×	`times-frac_binary64_4858`
53×	`*-un-lft-identity_binary64_4852`
47×	`add-cube-cbrt_binary64_4887` `sqrt-prod_binary64_4868`
28×	`add-exp-log_binary64_4890`
24×	`associate-l_binary64_4793` `associate-r_binary64_4792`
18×	`add-cbrt-cube_binary64_4888`
15×	`unswap-sqr_binary64_4820`
10×	`sqrt-div_binary64_4869`
9×	`div-exp_binary64_4903`
8×	`pow1_binary64_4913` `prod-exp_binary64_4901`
6×	`associate-/r/_binary64_4798` `associate-/r*_binary64_4796`
5×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `cbrt-undiv_binary64_4886`
4×	`add-log-exp_binary64_4891` `cbrt-unprod_binary64_4885`
3×	`div-inv_binary64_4849` `associate-/l*_binary64_4797`
2×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `associate-/l/_binary64_4799` `1-exp_binary64_4896` `rec-exp_binary64_4902`
1×	`frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `flip3--_binary64_4856` `flip--_binary64_4827` `pow-prod-down_binary64_4923` `frac-times_binary64_4862` `associate-l/_binary64_4795` `associate-r/_binary64_4794` `*-commutative_binary64_4783`

Counts

4 → 161

Calls

4 calls:

31.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
13.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7156 to 1055 computations (85.3% saved)

series1.3s (10.9%)

Error

4.2b

Counts

4 → 97

Calls

4 calls:

493.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
389.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
173.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
134.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 5780 to 3741 computations (35.3% saved)

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4990	7570
1	4990	7570

prune285.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	260	9	269

Error

4.0b

Counts

269 → 9

Compiler

Compiled 8445 to 1381 computations (83.6% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.6b	(.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d))))))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite363.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

137×	`add-sqr-sqrt_binary64_4874`
108×	`sqrt-prod_binary64_4868`
99×	`times-frac_binary64_4858`
57×	`*-un-lft-identity_binary64_4852`
45×	`add-cube-cbrt_binary64_4887`
33×	`associate-l_binary64_4793` `associate-r_binary64_4792`
28×	`unswap-sqr_binary64_4820`
26×	`add-exp-log_binary64_4890`
16×	`add-cbrt-cube_binary64_4888`
14×	`sqrt-div_binary64_4869`
9×	`pow1_binary64_4913`
8×	`div-exp_binary64_4903` `prod-exp_binary64_4901`
5×	`flip3-+_binary64_4855` `flip-+_binary64_4826`
4×	`add-log-exp_binary64_4891` `cbrt-unprod_binary64_4885` `cbrt-undiv_binary64_4886` `associate-/r/_binary64_4798`
3×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865`
2×	`1-exp_binary64_4896` `rec-exp_binary64_4902` `div-inv_binary64_4849`
1×	`pow-prod-down_binary64_4923` `frac-times_binary64_4862` `associate-l/_binary64_4795` `associate-r/_binary64_4794` `*-commutative_binary64_4783`

Counts

4 → 163

Calls

4 calls:

65.0ms	(.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d))))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 9348 to 1324 computations (85.8% saved)

series1.0s (8.8%)

Error

4.0b

Counts

4 → 89

Calls

4 calls:

480.0ms	(.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))) (/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d))))))
154.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
148.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
143.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7386 to 3954 computations (46.5% saved)

simplify161.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4969	8321
1	4969	8321

prune395.0ms (3.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	252	9	261

Error

4.0b

Counts

261 → 9

Compiler

Compiled 11138 to 1540 computations (86.2% saved)

regimes1.9s (16%)

Accuracy

Total 10.0b remaining (67.8%)

Threshold costs 0b (0%)

Compiler

Compiled 10444 to 5758 computations (44.9% saved)

bsearch110.0ms (0.9%)

Steps

Iters	Range		Point
7	3.8868018845307633e+68	1.3644531650600456e+70	2.0139063475555305e+69
9	1.5985712979139024e-152	5.795803614072852e-145	1.8192329406445362e-149
9	-7.750398627192034e-42	-7.035472584919937e-50	-8.232708701844971e-48
7	-5.3171984657535355e+81	-5.6545501491607255e+79	-3.2563987087522574e+81

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	148
1	81	148

end0.0ms (0%)

sample2.2s (18.3%)

Algorithm

1×

intervals

Results

434.0ms	8000×	body	128	valid
23.0ms	477×	body	128	invalid

Compiler

Compiled 2198 to 1195 computations (45.6% saved)

Details

analyze888.0ms (7.5%)

sample25.0ms (0.2%)

simplify156.0ms (1.3%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite95.0ms (0.8%)

series758.0ms (6.4%)

simplify103.0ms (0.9%)

prune129.0ms (1.1%)

localize13.0ms (0.1%)

rewrite120.0ms (1%)

series1.0s (8.7%)

simplify114.0ms (1%)

prune180.0ms (1.5%)

localize13.0ms (0.1%)

rewrite311.0ms (2.6%)

series1.3s (10.9%)

simplify164.0ms (1.4%)

prune285.0ms (2.4%)

localize31.0ms (0.3%)

rewrite363.0ms (3.1%)

series1.0s (8.8%)

simplify161.0ms (1.4%)

prune395.0ms (3.3%)

regimes1.9s (16%)

bsearch110.0ms (0.9%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.2s (18.3%)

Profiling