Details

analyze2.9s (17.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample207.0ms (1.3%)

Algorithm

1×

intervals

Results

119.0ms	136×	body	2048	valid
29.0ms	64×	body	1024	valid
7.0ms	26×	body	512	valid
7.0ms	19×	body	1024	overflowed
6.0ms	12×	body	2048	overflowed
6.0ms	302×	pre	128	true
3.0ms	11×	body	512	overflowed
2.0ms	21×	body	128	valid
2.0ms	8×	body	256	valid
1.0ms	1×	body	4096	valid
0.0ms	3×	body	128	overflowed
0.0ms	1×	body	256	overflowed

Compiler

Compiled 64 to 46 computations (28.1% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
580×	`associate-/l*_binary64`
286×	`associate-/r*_binary64`
126×	`distribute-rgt-in_binary64`
122×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	44	37
2	105	37
3	238	37
4	834	37
5	5217	37

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

59.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	59.4b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

Compiler

Compiled 81 to 57 computations (29.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
3.0b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.4b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.6b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite171.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

59.4b

Rules

33×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
15×	`cancel-sign-sub-inv_binary64`
11×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`

Counts

4 → 96

Calls

4 calls:

9.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
5.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
3.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 2979 to 1270 computations (57.4% saved)

series181.0ms (1.1%)

Error

45.7b

Counts

4 → 41

Calls

4 calls:

92.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
35.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
17.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
12.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 2865 to 1838 computations (35.8% saved)

simplify158.0ms (1%)

Algorithm

1×	egg-herbie

Rules

538×	`distribute-rgt-in_binary64`
508×	`distribute-lft-in_binary64`
229×	`associate-+l+_binary64`
206×	`associate-+r+_binary64`
157×	`associate--r+_binary64`

Counts

137 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2968
1	418	2764
2	1468	2672
3	4974	2672
4	5041	2672

prune99.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Error

53.7b

Counts

114 → 5

Alt Table

Status	Error	Program
	61.3b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps eps) (*.f64 b a)))
▶	58.0b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (*.f64 1/6 (pow.f64 eps 3)) b))))))
	58.2b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 (.f64 1/2 (.f64 eps eps)) b)))))
	61.2b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (exp.f64 (log.f64 (.f64 (-.f64 (exp.f64 (.f64 eps b)) 1) (-.f64 (exp.f64 (*.f64 eps a)) 1)))))
	59.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 (+.f64 1 (sqrt.f64 (exp.f64 (.f64 eps b)))) (+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 eps b)))))))

Compiler

Compiled 2689 to 1227 computations (54.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.6b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
5.0b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (*.f64 1/6 (pow.f64 eps 3)) b)))))
5.7b	(.f64 (.f64 1/6 (pow.f64 eps 3)) b)
15.2b	(.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))

rewrite248.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

53.7b

Rules

21×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
13×	`pow1_binary64`

Counts

4 → 92

Calls

4 calls:

26.0ms	(.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))
8.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (*.f64 1/6 (pow.f64 eps 3)) b)))))
5.0ms	(.f64 (.f64 1/6 (pow.f64 eps 3)) b)
3.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

Compiler

Compiled 4643 to 2200 computations (52.6% saved)

series277.0ms (1.7%)

Error

53.7b

Counts

4 → 53

Calls

4 calls:

126.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (*.f64 1/6 (pow.f64 eps 3)) b)))))
46.0ms	(.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))
37.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
21.0ms	(.f64 (.f64 1/6 (pow.f64 eps 3)) b)

Compiler

Compiled 5535 to 3655 computations (34% saved)

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-l_binary64`
631×	`associate-r_binary64`
477×	`unswap-sqr_binary64`
261×	`*-commutative_binary64`
217×	`distribute-rgt-in_binary64`

Counts

145 → 130

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	315	5167
1	929	4728
2	4216	4728
3	5551	4728

prune203.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	122	8	130
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	124	11	135

Error

53.7b

Counts

135 → 11

Alt Table

Status	Error	Program
	61.2b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (exp.f64 (log.f64 (.f64 (-.f64 (exp.f64 (.f64 eps b)) 1) (-.f64 (exp.f64 (*.f64 eps a)) 1)))))
	58.2b	(/.f64 (.f64 eps (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b))))))
	59.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 (+.f64 1 (sqrt.f64 (exp.f64 (.f64 eps b)))) (+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 eps b)))))))
	60.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (sqrt.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)))) (sqrt.f64 (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))))))
	61.3b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps eps) (*.f64 b a)))
▶	57.9b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1)) (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1))) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (cbrt.f64 (-.f64 (exp.f64 (.f64 eps a)) 1)))))
	60.1b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (cbrt.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps))) 3)))
	62.3b	(/.f64 (.f64 eps (.f64 eps (+.f64 b a))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (*.f64 1/6 (pow.f64 eps 3)) b))))))
	59.0b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 eps b) 3) (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (.f64 eps eps) (.f64 (.f64 b b) (exp.f64 (.f64 eps a))))) (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))) eps))))
	63.6b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 b (pow.f64 a 3)))) (+.f64 (.f64 (.f64 eps eps) (.f64 b a)) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 b 3) (pow.f64 a 3)))) (+.f64 (.f64 1/6 (.f64 a (.f64 (pow.f64 b 3) (pow.f64 eps 4)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 4) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (.f64 (.f64 1/12 (pow.f64 eps 5)) (+.f64 (.f64 (pow.f64 b 3) (.f64 a a)) (.f64 b (.f64 b (pow.f64 a 3))))) (.f64 (.f64 1/2 (pow.f64 eps 3)) (+.f64 (.f64 b (.f64 b a)) (.f64 b (*.f64 a a)))))))))))
	57.9b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (+.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1))))

Compiler

Compiled 5121 to 2668 computations (47.9% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.6b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
5.0b	(.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (cbrt.f64 (-.f64 (exp.f64 (.f64 eps a)) 1)))
5.7b	(*.f64 b (pow.f64 eps 3))
7.3b	(.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))

rewrite406.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

53.7b

Rules

30×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
19×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64`
13×	`add-cube-cbrt_binary64`

Counts

4 → 104

Calls

4 calls:

15.0ms	(.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (cbrt.f64 (-.f64 (exp.f64 (.f64 eps a)) 1)))
8.0ms	(.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))
5.0ms	(*.f64 b (pow.f64 eps 3))
3.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

Compiler

Compiled 6189 to 3230 computations (47.8% saved)

series321.0ms (2%)

Error

53.7b

Counts

4 → 49

Calls

4 calls:

145.0ms	(.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (cbrt.f64 (-.f64 (exp.f64 (.f64 eps a)) 1)))
44.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
43.0ms	(.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))
21.0ms	(*.f64 b (pow.f64 eps 3))

Compiler

Compiled 6284 to 4086 computations (35% saved)

simplify183.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-l_binary64`
451×	`associate-r_binary64`
447×	`associate-+l+_binary64`
391×	`unswap-sqr_binary64`
259×	`*-commutative_binary64`

Counts

153 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	4757
1	762	4066
2	2947	3734
3	5191	3734

prune408.0ms (2.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	134	12	146

Error

53.7b

Counts

146 → 12

Alt Table

Status	Error	Program
	61.2b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (exp.f64 (log.f64 (.f64 (-.f64 (exp.f64 (.f64 eps b)) 1) (-.f64 (exp.f64 (*.f64 eps a)) 1)))))
	58.2b	(/.f64 (.f64 eps (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b))))))
	59.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 (+.f64 1 (sqrt.f64 (exp.f64 (.f64 eps b)))) (+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 eps b)))))))
	60.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (sqrt.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)))) (sqrt.f64 (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))))))
	61.3b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps eps) (*.f64 b a)))
✓	57.9b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1)) (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1))) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (cbrt.f64 (-.f64 (exp.f64 (.f64 eps a)) 1)))))
	60.1b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (cbrt.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps))) 3)))
	60.7b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1)) (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1))) (/.f64 (.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) 3)) (.f64 b (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (.f64 eps a)) 3) 1)))) (.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) (-.f64 (.f64 b (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 b 1/6) eps) 1/2))) eps))) (cbrt.f64 (+.f64 1 (.f64 (exp.f64 (.f64 eps a)) (+.f64 (exp.f64 (.f64 eps a)) 1))))))))
	59.0b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 eps b) 3) (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (.f64 eps eps) (.f64 (.f64 b b) (exp.f64 (.f64 eps a))))) (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))) eps))))
	62.6b	(/.f64 (.f64 eps (.f64 eps (+.f64 b a))) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1)) (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1))) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (cbrt.f64 (-.f64 (exp.f64 (.f64 eps a)) 1)))))
	63.6b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (.f64 b (pow.f64 a 3)))) (+.f64 (.f64 (.f64 eps eps) (.f64 b a)) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 b 3) (pow.f64 a 3)))) (+.f64 (.f64 1/6 (.f64 a (.f64 (pow.f64 b 3) (pow.f64 eps 4)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 4) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (.f64 (.f64 1/12 (pow.f64 eps 5)) (+.f64 (.f64 (pow.f64 b 3) (.f64 a a)) (.f64 b (.f64 b (pow.f64 a 3))))) (.f64 (.f64 1/2 (pow.f64 eps 3)) (+.f64 (.f64 b (.f64 b a)) (.f64 b (*.f64 a a)))))))))))
▶	57.9b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (+.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1))))

Compiler

Compiled 6276 to 3348 computations (46.7% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.6b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.9b	(.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1))
5.7b	(*.f64 b (pow.f64 eps 3))
7.3b	(.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))

rewrite560.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

53.7b

Rules

36×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64`
14×	`add-cube-cbrt_binary64`

Counts

4 → 113

Calls

4 calls:

16.0ms	(.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1))
10.0ms	(.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))
5.0ms	(*.f64 b (pow.f64 eps 3))
3.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

Compiler

Compiled 5955 to 2931 computations (50.8% saved)

series357.0ms (2.2%)

Error

53.7b

Counts

4 → 53

Calls

4 calls:

141.0ms	(.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1))
42.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
41.0ms	(.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps))))
20.0ms	(*.f64 b (pow.f64 eps 3))

Compiler

Compiled 6396 to 4245 computations (33.6% saved)

simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

617×	`associate-r_binary64`
617×	`associate-l_binary64`
480×	`unswap-sqr_binary64`
326×	`*-commutative_binary64`
198×	`distribute-rgt-in_binary64`

Counts

166 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	6086
1	950	5094
2	3952	5082
3	5185	5082

prune334.0ms (2.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	4	6	10
Picked	0	1	1
Done	0	1	1
Total	142	12	154

Error

53.7b

Counts

154 → 12

Alt Table

Status	Error	Program
	62.6b	(/.f64 (.f64 eps (.f64 eps (+.f64 b a))) (.f64 (+.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1))))
	60.1b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (cbrt.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps))) 3)))
	61.2b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (exp.f64 (log.f64 (.f64 (-.f64 (exp.f64 (.f64 eps b)) 1) (-.f64 (exp.f64 (*.f64 eps a)) 1)))))
	58.2b	(/.f64 (.f64 eps (+.f64 (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))) (-.f64 (exp.f64 (.f64 eps a)) 1))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b))))))
	59.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 (+.f64 1 (sqrt.f64 (exp.f64 (.f64 eps b)))) (+.f64 -1 (sqrt.f64 (exp.f64 (*.f64 eps b)))))))
	60.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 (-.f64 (exp.f64 (.f64 eps a)) 1) (sqrt.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)))) (sqrt.f64 (+.f64 (.f64 eps b) (.f64 (.f64 b b) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/6 (pow.f64 eps 3)) b)))))))
	57.9b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1)) (cbrt.f64 (-.f64 (exp.f64 (.f64 a eps)) 1))) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (cbrt.f64 (-.f64 (exp.f64 (.f64 eps a)) 1)))))
	60.8b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (+.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (/.f64 (.f64 (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1) (.f64 b (+.f64 (pow.f64 eps 3) (pow.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) 3)))) (+.f64 (.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))) (-.f64 (.f64 eps eps) (.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps))))))
	59.0b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 eps b) 3) (exp.f64 (.f64 eps a)))) (+.f64 (.f64 1/2 (.f64 (.f64 eps eps) (.f64 (.f64 b b) (exp.f64 (.f64 eps a))))) (.f64 eps (.f64 b (exp.f64 (.f64 eps a)))))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))) eps))))
	63.6b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (+.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (+.f64 (.f64 1/48 (.f64 (pow.f64 eps 4) (.f64 b (pow.f64 a 3)))) (+.f64 (.f64 1/2 (.f64 (.f64 eps eps) (.f64 b a))) (+.f64 (.f64 1/288 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 b 3) (pow.f64 a 3)))) (+.f64 (.f64 1/12 (.f64 a (.f64 (pow.f64 b 3) (pow.f64 eps 4)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 eps 4) (.f64 b (.f64 b (.f64 a a))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 3) (.f64 b (.f64 b a)))) (+.f64 (.f64 1/8 (.f64 (pow.f64 eps 3) (.f64 b (.f64 a a)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 eps 5) (.f64 (pow.f64 b 3) (.f64 a a)))) (.f64 1/96 (.f64 (pow.f64 eps 5) (.f64 b (.f64 b (pow.f64 a 3)))))))))))))))
	61.1b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (+.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (.f64 1/2 (.f64 (.f64 eps eps) (.f64 b a)))))
	57.9b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (+.f64 (sqrt.f64 (exp.f64 (.f64 a eps))) 1) (.f64 (.f64 b (+.f64 (.f64 b (+.f64 (.f64 1/6 (.f64 b (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps)))) eps)) (-.f64 (sqrt.f64 (exp.f64 (.f64 eps a))) 1))))

Compiler

Compiled 5045 to 2541 computations (49.6% saved)

regimes1.5s (9.2%)

Accuracy

Total -3.7b remaining (-7.4%)

Threshold costs -3.7b (-7.4%)

Compiler

Compiled 29802 to 20004 computations (32.9% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 27 to 19 computations (29.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	238
1	68	238
2	71	238
3	69	238

end11.0ms (0.1%)

Compiler: Compiled 468 to 234 computations (50% saved)

sample7.3s (44.9%)

Algorithm

1×

intervals

Results

3.7s	4059×	body	2048	valid
1.3s	2418×	body	1024	valid
239.0ms	754×	body	512	valid
222.0ms	385×	body	2048	overflowed
220.0ms	571×	body	1024	overflowed
213.0ms	9669×	pre	128	true
68.0ms	275×	body	512	overflowed
51.0ms	537×	body	128	valid
39.0ms	218×	body	256	valid
25.0ms	299×	body	128	overflowed
23.0ms	138×	body	256	overflowed
20.0ms	14×	body	4096	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 909 to 576 computations (36.6% saved)

Details

analyze2.9s (17.7%)

sample207.0ms (1.3%)

simplify26.0ms (0.2%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite171.0ms (1.1%)

series181.0ms (1.1%)

simplify158.0ms (1%)

prune99.0ms (0.6%)

localize25.0ms (0.2%)

rewrite248.0ms (1.5%)

series277.0ms (1.7%)

simplify142.0ms (0.9%)

prune203.0ms (1.2%)

localize37.0ms (0.2%)

rewrite406.0ms (2.5%)

series321.0ms (2%)

simplify183.0ms (1.1%)

prune408.0ms (2.5%)

localize33.0ms (0.2%)

rewrite560.0ms (3.4%)

series357.0ms (2.2%)

simplify154.0ms (0.9%)

prune334.0ms (2.1%)

regimes1.5s (9.2%)

bsearch13.0ms (0.1%)

simplify9.0ms (0.1%)

end11.0ms (0.1%)

sample7.3s (44.9%)

Profiling