Details

analyze1.1s (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	43	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)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

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

Error

23.6b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 (.f64 a c) (.f64 b d))
23.1b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
9×	`times-frac_binary64_766`
4×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`flip3-+_binary64_763` `associate-/r_binary64_704` `flip-+_binary64_734` `associate-/l_binary64_705`
2×	`associate-/r/_binary64_706` `associate-/l/_binary64_707` `pow1_binary64_821`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

2 → 42

Calls

2 calls:

15.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(+.f64 (.f64 a c) (.f64 b d))

series722.0ms (5.3%)

Counts

2 → 48

Calls

2 calls:

482.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
240.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1044 to 858 computations (17.8% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5127	1791

prune174.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	9	91

Error

5.3b

Counts

91 → 9

Compiler

Compiled 1879 to 258 computations (86.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 a c) (.f64 b d))
13.2b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite57.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_782`
21×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
18×	`sqrt-prod_binary64_776` `times-frac_binary64_766`
6×	`add-exp-log_binary64_798` `associate-/r*_binary64_704` `add-log-exp_binary64_799` `sqrt-div_binary64_777` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
3×	`associate-/l*_binary64_705`
2×	`rem-sqrt-square_binary64_773` `associate-/r/_binary64_706` `associate-/l/_binary64_707` `sqrt-pow1_binary64_778` `pow1/2_binary64_840`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 84

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
10.0ms	(+.f64 (.f64 a c) (.f64 b d))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series1.3s (9.8%)

Counts

4 → 95

Calls

4 calls:

669.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
254.0ms	(+.f64 (.f64 a c) (.f64 b d))
218.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
203.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 3540 to 2496 computations (29.5% saved)

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5000	3706

prune274.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	177	2	179
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	178	10	188

Error

5.3b

Counts

188 → 10

Compiler

Compiled 5469 to 812 computations (85.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.7b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
13.7b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
13.7b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
14.8b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d))))

rewrite96.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-div_binary64_792`
25×	`add-sqr-sqrt_binary64_782`
24×	`associate-r_binary64_700`
20×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `times-frac_binary64_766`
19×	`cbrt-prod_binary64_791`
16×	`flip3-+_binary64_763` `add-exp-log_binary64_798` `flip-+_binary64_734` `frac-times_binary64_770`
12×	`associate-*l/_binary64_703`
10×	`add-cbrt-cube_binary64_796`
9×	`pow1_binary64_821`
6×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
5×	`associate-*r/_binary64_702`
4×	`add-log-exp_binary64_799`
3×	`pow1/3_binary64_842` `unswap-sqr_binary64_728` `pow-prod-down_binary64_831`
2×	`cbrt-undiv_binary64_794` `associate-/r/_binary64_706` `div-exp_binary64_811`
1×	`div-inv_binary64_757` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

4 → 102

Calls

4 calls:

44.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
6.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
6.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))

series2.2s (15.7%)

Counts

4 → 96

Calls

4 calls:

564.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
547.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
525.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
518.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d))))

Compiler

Compiled 6732 to 4416 computations (34.4% saved)

simplify216.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5076	6365

prune364.0ms (2.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	198	10	208

Error

5.3b

Counts

208 → 10

Compiler

Compiled 8065 to 1258 computations (84.4% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

14.6b	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))
28.9b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.9b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.9b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite89.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-div_binary64_792`
16×	`add-exp-log_binary64_798`
15×	`flip3-+_binary64_763` `flip-+_binary64_734`
9×	`cbrt-prod_binary64_791`
8×	`associate-/r/_binary64_706` `associate-/l/_binary64_707` `add-cbrt-cube_binary64_796` `frac-times_binary64_770`
7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`cbrt-undiv_binary64_794` `associate-l/_binary64_703` `prod-exp_binary64_809` `add-log-exp_binary64_799` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `div-exp_binary64_811` `pow1_binary64_821`
3×	`pow1/3_binary64_842`
1×	`frac-2neg_binary64_771` `associate-/r_binary64_704` `div-inv_binary64_757` `associate-/l_binary64_705` `clear-num_binary64_759` `times-frac_binary64_766`

Counts

4 → 76

Calls

4 calls:

43.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series2.5s (18%)

Counts

4 → 65

Calls

4 calls:

1.2s	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))
667.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
304.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
282.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6415 to 4123 computations (35.7% saved)

simplify163.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5066	4948

prune354.0ms (2.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	141	10	151

Error

5.3b

Counts

151 → 10

Compiler

Compiled 8441 to 1277 computations (84.9% saved)

regimes1.2s (9%)

Accuracy

Total 10.2b remaining (66%)

Threshold costs 0b (0%)

Compiler

Compiled 4376 to 2376 computations (45.7% saved)

bsearch161.0ms (1.2%)

Steps

Iters	Range		Point
9	2.3172184780237384e+145	7.296884387535052e+150	3.790962917822067e+149
6	1.0267184501121202e-71	1.400399251761213e-70	1.0535972340045998e-71
9	-2.29484202946186e-38	-1.8326551757950738e-43	-1.921622719992854e-43
10	-7.628262549865027e+156	-3.6264856366840286e+145	-9.881352041583821e+145

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	124
1	36	124

end0.0ms (0%)

sample2.3s (16.7%)

Algorithm

1×

intervals

Results

654.0ms	8000×	body	128	valid
46.0ms	464×	body	128	invalid

Compiler

Compiled 970 to 512 computations (47.2% saved)

Details

analyze1.1s (8.1%)

sample40.0ms (0.3%)

simplify12.0ms (0.1%)

prune4.0ms (0%)

localize17.0ms (0.1%)

rewrite28.0ms (0.2%)

series722.0ms (5.3%)

simplify97.0ms (0.7%)

prune174.0ms (1.3%)

localize24.0ms (0.2%)

rewrite57.0ms (0.4%)

series1.3s (9.8%)

simplify142.0ms (1%)

prune274.0ms (2%)

localize28.0ms (0.2%)

rewrite96.0ms (0.7%)

series2.2s (15.7%)

simplify216.0ms (1.6%)

prune364.0ms (2.7%)

localize38.0ms (0.3%)

rewrite89.0ms (0.6%)

series2.5s (18%)

simplify163.0ms (1.2%)

prune354.0ms (2.6%)

regimes1.2s (9%)

bsearch161.0ms (1.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.3s (16.7%)

Profiling