Details

analyze157.0ms (3.5%)

Algorithm

1×

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%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.3s (28.1%)

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Results

1.2s	8256×	body	128	valid
2.0ms	15×	body	128	invalid

Compiler

Compiled 152 to 107 computations (29.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.4b	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

series188.0ms (4.2%)

Counts

4 → 60

Calls

4 calls:

150.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
32.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	(.f64 5 (.f64 v v))
2.0ms	(*.f64 (PI.f64) t)

rewrite323.0ms (7.2%)

Algorithm

2×	batch-egg-rewrite

Rules

294×	`prod-diff_binary64`
219×	`add-sqr-sqrt_binary64`
210×	`log1p-expm1-u_binary64`
210×	`expm1-log1p-u_binary64`
207×	`add-log-exp_binary64`

Counts

4 → 193

Calls

4 calls:

306.0ms	(.f64 5 (.f64 v v))
306.0ms	(*.f64 (PI.f64) t)
306.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
306.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	449	77
2	4809	77
3	5436	77
0	0	0
1	0	0

prune495.0ms (11.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	247	6	253
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	247	7	254

Error

0.0b

Counts

254 → 7

Alt Table

Status	Error	Program
	31.6b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))) 2)
▶	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	0.4b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
	44.8b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 (.f64 v v) 5)) 3) (pow.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))) 3)))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))) 3)

Compiler

Compiled 23833 to 14784 computations (38% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 v 2))
✓	0.2b	(*.f64 5 (pow.f64 v 2))
✓	0.2b	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))

series143.0ms (3.2%)

Counts

4 → 24

Calls

4 calls:

107.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))
31.0ms	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
3.0ms	(*.f64 5 (pow.f64 v 2))
3.0ms	(*.f64 3 (pow.f64 v 2))

rewrite105.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

333×	`log1p-udef_binary64`
191×	`add-sqr-sqrt_binary64`
185×	`log1p-expm1-u_binary64`
185×	`expm1-log1p-u_binary64`
181×	`add-log-exp_binary64`

Counts

4 → 90

Calls

4 calls:

102.0ms	(*.f64 3 (pow.f64 v 2))
102.0ms	(*.f64 5 (pow.f64 v 2))
102.0ms	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
102.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	398	64
2	4980	64
3	5383	64
0	0	0
1	0	0

prune170.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	115	6	121

Error

0.0b

Counts

121 → 6

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	31.6b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) t))) 2) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
▶	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.4b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))) 3)

Compiler

Compiled 4790 to 3676 computations (23.3% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
✓	0.2b	(*.f64 3 (pow.f64 v 2))
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t))

series242.0ms (5.4%)

Counts

4 → 60

Calls

4 calls:

155.0ms	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
81.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t))
3.0ms	(.f64 5 (.f64 v v))
2.0ms	(*.f64 3 (pow.f64 v 2))

rewrite78.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

254×	`add-sqr-sqrt_binary64`
245×	`log1p-expm1-u_binary64`
245×	`expm1-log1p-u_binary64`
240×	`add-log-exp_binary64`
239×	`add-exp-log_binary64`

Counts

4 → 57

Calls

4 calls:

76.0ms	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
76.0ms	(*.f64 3 (pow.f64 v 2))
76.0ms	(.f64 5 (.f64 v v))
76.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	93
1	526	91
2	4887	91
3	4830	91
0	0	0
1	0	0

prune135.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	118	5	123

Error

Counts

123 → 5

Alt Table

Status	Error	Program
	0.3b	(.f64 (/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 t)) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.4b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
▶	0.1b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 4712 to 3645 computations (22.6% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
✓	0.1b	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) t)
✓	0.2b	(*.f64 3 (pow.f64 v 2))
✓	0.2b	(.f64 5 (.f64 v v))

series306.0ms (6.8%)

Counts

4 → 60

Calls

4 calls:

186.0ms	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
110.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) t)
6.0ms	(*.f64 3 (pow.f64 v 2))
3.0ms	(.f64 5 (.f64 v v))

rewrite85.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

421×	`log1p-udef_binary64`
243×	`add-sqr-sqrt_binary64`
235×	`log1p-expm1-u_binary64`
235×	`expm1-log1p-u_binary64`
230×	`add-log-exp_binary64`

Counts

4 → 62

Calls

4 calls:

83.0ms	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
83.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) t)
83.0ms	(*.f64 3 (pow.f64 v 2))
83.0ms	(.f64 5 (.f64 v v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	93
1	502	91
2	4766	91
3	5471	91
0	0	0
1	0	0

prune148.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Error

Counts

127 → 5

Alt Table

Status	Error	Program
	0.3b	(.f64 (/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 t)) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
✓	0.4b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.4b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
✓	0.1b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 4703 to 3601 computations (23.4% saved)

regimes442.0ms (9.9%)

Accuracy

Total 0.1b remaining (90.3%)

Threshold costs 0.1b (90.3%)

Counts

51 → 1

Compiler

Compiled 12980 to 9300 computations (28.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`distribute-rgt-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	44	46
2	62	46
3	70	46
4	74	46
5	71	46

end127.0ms (2.8%)

Compiler: Compiled 231 to 178 computations (22.9% saved)

Details

analyze157.0ms (3.5%)

sample1.3s (28.1%)

localize15.0ms (0.3%)

series188.0ms (4.2%)

rewrite323.0ms (7.2%)

prune495.0ms (11.1%)

localize19.0ms (0.4%)

series143.0ms (3.2%)

rewrite105.0ms (2.3%)

prune170.0ms (3.8%)

localize20.0ms (0.4%)

series242.0ms (5.4%)

rewrite78.0ms (1.7%)

prune135.0ms (3%)

localize17.0ms (0.4%)

series306.0ms (6.8%)

rewrite85.0ms (1.9%)

prune148.0ms (3.3%)

regimes442.0ms (9.9%)

simplify3.0ms (0.1%)

end127.0ms (2.8%)

Profiling