Details

analyze113.0ms (2.4%)

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
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample73.0ms (1.5%)

Algorithm

1×

intervals

Results

33.0ms	68×	body	1024	valid
8.0ms	37×	body	512	valid
6.0ms	131×	body	128	valid
4.0ms	6×	body	2048	valid
2.0ms	14×	body	256	valid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

31.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	31.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
3.1b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite47.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.5b

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
4×	`log-prod_binary64`
3×	`add-exp-log_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

2 → 27

Calls

2 calls:

5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 332 to 84 computations (74.7% saved)

series81.0ms (1.7%)

Error

0.3b

Counts

2 → 23

Calls

2 calls:

44.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 765 to 563 computations (26.4% saved)

simplify108.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

633×	`cancel-sign-sub-inv_binary64`
292×	`associate-+l+_binary64`
284×	`associate-/r/_binary64`
266×	`associate-/l/_binary64`
215×	`sub-neg_binary64`

Counts

50 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	916
1	277	869
2	761	833
3	2534	822
4	4525	822
5	4997	822
6	4974	822

prune41.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	5	35

Error

0.3b

Counts

35 → 5

Alt Table

Status	Error	Program
	31.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	32.3b	(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	34.2b	(log.f64 (+.f64 a (+.f64 (exp.f64 b) (+.f64 1 (.f64 1/2 (.f64 a a))))))
	31.8b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
▶	0.6b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))))

Compiler

Compiled 670 to 353 computations (47.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))
0.1b	(log.f64 (+.f64 1 (exp.f64 a)))
0.1b	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))

rewrite103.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

13×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64`

Counts

4 → 51

Calls

4 calls:

9.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
4.0ms	(+.f64 1 (exp.f64 a))
3.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1735 to 1138 computations (34.4% saved)

series69.0ms (1.5%)

Error

0.3b

Counts

4 → 18

Calls

4 calls:

17.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
13.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
10.0ms	(+.f64 1 (exp.f64 a))
6.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1385 to 962 computations (30.5% saved)

simplify156.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

906×	`unsub-neg_binary64`
370×	`times-frac_binary64`
303×	`div-sub_binary64`
261×	`distribute-rgt-in_binary64`
255×	`associate-/l*_binary64`

Counts

69 → 37

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	872
1	219	794
2	400	784
3	1135	784
4	3394	780
5	4781	780
6	3897	780
7	4874	780
8	4983	780
9	4718	780

prune55.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Error

0.3b

Counts

42 → 5

Alt Table

Status	Error	Program
	31.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	34.2b	(log.f64 (+.f64 a (+.f64 (exp.f64 b) (+.f64 1 (.f64 1/2 (.f64 a a))))))
	31.8b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
✓	0.6b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))))
▶	27.2b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))))

Compiler

Compiled 1233 to 828 computations (32.8% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))
0.2b	(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
2.5b	(-.f64 1 (pow.f64 (exp.f64 a) 2))
2.6b	(-.f64 1 (exp.f64 a))

rewrite207.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

43×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
30×	`log-prod_binary64`
29×	`difference-of-squares_binary64`
15×	`cancel-sign-sub-inv_binary64`

Counts

4 → 110

Calls

4 calls:

14.0ms	(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
6.0ms	(-.f64 1 (pow.f64 (exp.f64 a) 2))
6.0ms	(log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))
4.0ms	(-.f64 1 (exp.f64 a))

Compiler

Compiled 4693 to 3161 computations (32.6% saved)

series78.0ms (1.6%)

Error

0.3b

Counts

4 → 18

Calls

4 calls:

24.0ms	(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
16.0ms	(log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)))
13.0ms	(-.f64 1 (pow.f64 (exp.f64 a) 2))
12.0ms	(-.f64 1 (exp.f64 a))

Compiler

Compiled 1628 to 1155 computations (29.1% saved)

simplify166.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

474×	`associate-l_binary64`
465×	`exp-prod_binary64`
426×	`associate-r_binary64`
227×	`sub-neg_binary64`
185×	`cube-prod_binary64`

Counts

128 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2326
1	425	1931
2	983	1910
3	3298	1900
4	4189	1900
5	4832	1900
6	4868	1900

prune79.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	75	5	80

Error

0.3b

Counts

80 → 5

Alt Table

Status	Error	Program
▶	31.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	31.8b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
✓	0.6b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))))
✓	27.2b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))))
	61.2b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (-.f64 (log.f64 (*.f64 a -2)) (log.f64 (-.f64 1 (exp.f64 a))))))

Compiler

Compiled 2297 to 1547 computations (32.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.4b	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
0.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
3.1b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite69.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

15×	`*-un-lft-identity_binary64`
14×	`cbrt-prod_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

4 → 75

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
4.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
3.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 1007 to 371 computations (63.2% saved)

series205.0ms (4.3%)

Error

0.3b

Counts

4 → 46

Calls

4 calls:

78.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
35.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
34.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
16.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2744 to 2068 computations (24.6% saved)

simplify153.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

930×	`times-frac_binary64`
237×	`unswap-sqr_binary64`
171×	`log-prod_binary64`
167×	`cancel-sign-sub-inv_binary64`
138×	`associate-+r+_binary64`

Counts

121 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	3091
1	600	2936
2	2101	2755
3	4592	2755
4	4944	2755
5	4985	2755

prune73.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Error

0.3b

Counts

107 → 5

Alt Table

Status	Error	Program
	31.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
	34.8b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 b))) 3))
	31.8b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
	0.6b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))))
	27.2b	(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))))

Compiler

Compiled 1568 to 924 computations (41.1% saved)

regimes684.0ms (14.4%)

Accuracy

Total 0.4b remaining (40.6%)

Threshold costs 0.4b (40.6%)

Compiler

Compiled 12110 to 8195 computations (32.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	24	47
2	23	47

end8.0ms (0.2%)

Compiler: Compiled 96 to 66 computations (31.3% saved)

sample2.1s (44.7%)

Algorithm

1×

intervals

Results

895.0ms	1993×	body	1024	valid
229.0ms	1001×	body	512	valid
170.0ms	4327×	body	128	valid
131.0ms	205×	body	2048	valid
55.0ms	474×	body	256	valid
6.0ms	170×	body	128	overflowed

Compiler

Compiled 163 to 116 computations (28.8% saved)

Details

analyze113.0ms (2.4%)

sample73.0ms (1.5%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite47.0ms (1%)

series81.0ms (1.7%)

simplify108.0ms (2.3%)

prune41.0ms (0.9%)

localize15.0ms (0.3%)

rewrite103.0ms (2.2%)

series69.0ms (1.5%)

simplify156.0ms (3.3%)

prune55.0ms (1.2%)

localize21.0ms (0.4%)

rewrite207.0ms (4.3%)

series78.0ms (1.6%)

simplify166.0ms (3.5%)

prune79.0ms (1.7%)

localize8.0ms (0.2%)

rewrite69.0ms (1.4%)

series205.0ms (4.3%)

simplify153.0ms (3.2%)

prune73.0ms (1.5%)

regimes684.0ms (14.4%)

simplify3.0ms (0.1%)

end8.0ms (0.2%)

sample2.1s (44.7%)

Profiling