Details

analyze224.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5512	47
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 106 to 71 computations (33% saved)

sample84.0ms (0.7%)

Algorithm

1×

intervals

Results

63.0ms	256×	body	128	valid
3.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 209 to 141 computations (32.5% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5512	47

prune11.0ms (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

2.4b

Counts

2 → 2

Compiler

Compiled 163 to 111 computations (31.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
0.5b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
1.0b	(sqrt.f64 PI.f64)
2.4b	(exp.f64 (*.f64 x x))

rewrite448.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

129×	`times-frac_binary64_1789`
84×	`add-sqr-sqrt_binary64_1805`
79×	`*-un-lft-identity_binary64_1783`
70×	`add-cube-cbrt_binary64_1818` `associate-l_binary64_1724`
31×	`sqrt-prod_binary64_1799`
18×	`add-cbrt-cube_binary64_1819`
17×	`add-exp-log_binary64_1821`
7×	`pow1_binary64_1844`
6×	`add-log-exp_binary64_1822`
5×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `associate-r_binary64_1723` `distribute-lft-out_binary64_1734`
4×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `associate-/l*_binary64_1728`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`frac-times_binary64_1793` `associate-*r/_binary64_1725` `associate-/l/_binary64_1730`
1×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-exp-log_binary64_1823` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `pow-prod-down_binary64_1854` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-l/_binary64_1726` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727`

Counts

4 → 149

Calls

4 calls:

43.0ms	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
9.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 6017 to 2651 computations (55.9% saved)

series507.0ms (4.3%)

Error

2.3b

Counts

4 → 24

Calls

4 calls:

331.0ms	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
112.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
30.0ms	(exp.f64 (*.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1574 to 1203 computations (23.6% saved)

simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4943	6637
1	4943	6637

prune417.0ms (3.5%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	147	26	173
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	149	26	175

Error

1.6b

Counts

175 → 26

Compiler

Compiled 7020 to 3291 computations (53.1% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 PI.f64))))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
2.4b	(exp.f64 (*.f64 x x))

rewrite627.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

207×	`times-frac_binary64_1789`
135×	`add-sqr-sqrt_binary64_1805`
129×	`sqrt-prod_binary64_1799`
121×	`associate-r_binary64_1723`
115×	`*-un-lft-identity_binary64_1783`
110×	`add-cube-cbrt_binary64_1818`
13×	`add-cbrt-cube_binary64_1819`
12×	`add-exp-log_binary64_1821`
10×	`div-inv_binary64_1780`
8×	`pow1_binary64_1844`
7×	`unswap-sqr_binary64_1751`
6×	`add-log-exp_binary64_1822`
5×	`associate-l_binary64_1724`
3×	`div-exp_binary64_1834` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `cbrt-undiv_binary64_1817` `distribute-lft-out_binary64_1734`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `flip3-+_binary64_1786` `frac-times_binary64_1793` `flip-+_binary64_1757` `associate-*l/_binary64_1726`
1×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-exp-log_binary64_1823` `pow-prod-down_binary64_1854` `associate-r/_binary64_1725` `-commutative_binary64_1714`

Counts

4 → 189

Calls

4 calls:

64.0ms	(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 PI.f64))))
2.0ms	(exp.f64 (*.f64 x x))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 8482 to 3723 computations (56.1% saved)

series476.0ms (4%)

Error

1.6b

Counts

4 → 18

Calls

4 calls:

408.0ms	(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 PI.f64))))
32.0ms	(exp.f64 (*.f64 x x))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1543 to 1169 computations (24.2% saved)

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4990	9265
1	4990	9265

prune489.0ms (4.1%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	195	12	207
Fresh	4	21	25
Picked	0	1	1
Done	0	0	0
Total	199	34	233

Error

1.6b

Counts

233 → 34

Compiler

Compiled 8138 to 3832 computations (52.9% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
2.4b	(exp.f64 (*.f64 x x))
2.4b	(exp.f64 (*.f64 x x))

rewrite147.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

8×	`add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805`
6×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `sqrt-prod_binary64_1799`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
2×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-exp-log_binary64_1823` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 46

Calls

4 calls:

2.0ms	(exp.f64 (*.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2341 to 935 computations (60.1% saved)

series107.0ms (0.9%)

Error

1.6b

Counts

4 → 12

Calls

4 calls:

37.0ms	(exp.f64 (*.f64 x x))
37.0ms	(exp.f64 (*.f64 x x))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1450 to 884 computations (39% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4993	416
1	4993	416

prune236.0ms (2%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	32	32
Picked	0	1	1
Done	0	1	1
Total	58	34	92

Error

1.6b

Counts

92 → 34

Compiler

Compiled 4224 to 2042 computations (51.7% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
2.4b	(exp.f64 (*.f64 x x))

rewrite152.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

10×	`add-sqr-sqrt_binary64_1805`
9×	`sqrt-prod_binary64_1799`
7×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`add-log-exp_binary64_1822`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-exp-log_binary64_1823`

Counts

4 → 49

Calls

4 calls:

3.0ms	(sqrt.f64 PI.f64)
2.0ms	(exp.f64 (*.f64 x x))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2199 to 1006 computations (54.3% saved)

series49.0ms (0.4%)

Error

1.6b

Counts

4 → 6

Calls

4 calls:

35.0ms	(exp.f64 (*.f64 x x))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 621 to 407 computations (34.5% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4993	370
1	4993	370

prune122.0ms (1%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	31	31
Picked	0	1	1
Done	0	2	2
Total	55	34	89

Error

1.6b

Counts

89 → 34

Compiler

Compiled 2033 to 950 computations (53.3% saved)

regimes3.6s (30.6%)

Accuracy

Total -0.5b remaining (-38.7%)

Threshold costs -0.5b (-38.7%)

Compiler

Compiled 48670 to 30322 computations (37.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	60
1	33	60

end2.0ms (0%)

Compiler: Compiled 37 to 26 computations (29.7% saved)

sample3.5s (29.9%)

Algorithm

1×

intervals

Results

1.9s	8000×	body	128	valid
99.0ms	8122×	pre	128	true
32.0ms	122×	body	128	invalid

Compiler

Compiled 2025 to 1181 computations (41.7% saved)

Details

analyze224.0ms (1.9%)

sample84.0ms (0.7%)

simplify72.0ms (0.6%)

prune11.0ms (0.1%)

localize25.0ms (0.2%)

rewrite448.0ms (3.8%)

series507.0ms (4.3%)

simplify138.0ms (1.2%)

prune417.0ms (3.5%)

localize28.0ms (0.2%)

rewrite627.0ms (5.3%)

series476.0ms (4%)

simplify131.0ms (1.1%)

prune489.0ms (4.1%)

localize34.0ms (0.3%)

rewrite147.0ms (1.2%)

series107.0ms (0.9%)

simplify59.0ms (0.5%)

prune236.0ms (2%)

localize31.0ms (0.3%)

rewrite152.0ms (1.3%)

series49.0ms (0.4%)

simplify59.0ms (0.5%)

prune122.0ms (1%)

regimes3.6s (30.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end2.0ms (0%)

sample3.5s (29.9%)

Profiling