Details

analyze163.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	9	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	26×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune2.0ms (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

0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
10×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
4×	`associate-/r*_binary64_3091` `distribute-lft-out_binary64_3098`
3×	`add-cbrt-cube_binary64_3183` `associate-/l*_binary64_3092`
2×	`add-exp-log_binary64_3185` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `flip-+_binary64_3121` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `pow1_binary64_3208` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `div-inv_binary64_3144`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series57.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

57.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify58.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5103	718

prune25.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Error

0.7b

Counts

37 → 2

Compiler

Compiled 560 to 117 computations (79.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite33.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3147`
36×	`times-frac_binary64_3153` `exp-prod_binary64_3199`
29×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
19×	`log-pow_binary64_3236`
10×	`distribute-lft-out_binary64_3098`
6×	`associate-/r/_binary64_3093`
5×	`add-cbrt-cube_binary64_3183`
4×	`add-exp-log_binary64_3185` `associate-/r*_binary64_3091` `pow1_binary64_3208` `add-log-exp_binary64_3186`
3×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `associate-/l*_binary64_3092` `log-prod_binary64_3233` `div-inv_binary64_3144`
1×	`rem-log-exp_binary64_3188` `clear-num_binary64_3146` `frac-2neg_binary64_3158` `cbrt-undiv_binary64_3181` `rem-exp-log_binary64_3187` `div-exp_binary64_3198`

Counts

3 → 89

Calls

3 calls:

11.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
7.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series207.0ms (9.4%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
73.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
45.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5994	1734

prune71.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Error

0.4b

Counts

100 → 4

Compiler

Compiled 1725 to 333 computations (80.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (exp.f64 a))
0.0b	(log.f64 (pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b	(pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_3147`
26×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
24×	`times-frac_binary64_3153`
18×	`pow-unpow_binary64_3224`
9×	`add-exp-log_binary64_3185`
7×	`distribute-lft-out_binary64_3098` `log-prod_binary64_3233`
6×	`unpow-prod-down_binary64_3226` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `exp-prod_binary64_3199`
5×	`add-log-exp_binary64_3186`
4×	`associate-/r*_binary64_3091` `associate-/r/_binary64_3093` `pow-pow_binary64_3219`
3×	`rem-log-exp_binary64_3188` `associate-/l*_binary64_3092`
2×	`pow-exp_binary64_3215` `flip-+_binary64_3121` `flip3-+_binary64_3150` `pow-to-exp_binary64_3216` `sqr-pow_binary64_3119` `div-exp_binary64_3198` `div-inv_binary64_3144`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `inv-pow_binary64_3232` `cbrt-undiv_binary64_3181` `pow-flip_binary64_3221` `rem-exp-log_binary64_3187` `1-exp_binary64_3191` `log-pow_binary64_3236` `rec-exp_binary64_3197`

Counts

4 → 101

Calls

4 calls:

9.0ms	(pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(log.f64 (pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
2.0ms	(exp.f64 (exp.f64 a))

series275.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(log.f64 (pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
99.0ms	(pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
32.0ms	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	(exp.f64 (exp.f64 a))

simplify106.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4911	1822
1	4911	1822

prune87.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Error

0.4b

Counts

117 → 4

Compiler

Compiled 1946 to 649 computations (66.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b)))))
0.1b	(.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b))))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_3208`
6×	`add-sqr-sqrt_binary64_3169`
5×	`add-exp-log_binary64_3185`
4×	`-un-lft-identity_binary64_3147` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `associate-r/_binary64_3089`
3×	`associate-r_binary64_3087` `associate-l_binary64_3088`
2×	`rem-log-exp_binary64_3188` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `flip3-+_binary64_3150` `prod-exp_binary64_3196` `add-log-exp_binary64_3186` `log-pow_binary64_3236` `log-div_binary64_3234`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `distribute-lft-in_binary64_3096` `cbrt-unprod_binary64_3180` `log-prod_binary64_3233` `distribute-rgt-in_binary64_3097`

Counts

2 → 36

Calls

2 calls:

9.0ms	(.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b))))
5.0ms	(log.f64 (.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b)))))

series73.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(log.f64 (.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b)))))
25.0ms	(.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b))))

simplify74.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5074	754

prune41.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	41	5	46

Error

0.4b

Counts

46 → 5

Compiler

Compiled 697 to 514 computations (26.3% saved)

regimes98.0ms (4.5%)

Accuracy

Total 0.3b remaining (44.5%)

Threshold costs 0.3b (44.5%)

Compiler

Compiled 762 to 628 computations (17.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	13	20

end0.0ms (0%)

sample650.0ms (29.5%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
15.0ms	639×	body	128	overflowed

Compiler

Compiled 169 to 141 computations (16.6% saved)

Details

analyze163.0ms (7.4%)

sample15.0ms (0.7%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite9.0ms (0.4%)

series57.0ms (2.6%)

simplify58.0ms (2.6%)

prune25.0ms (1.1%)

localize8.0ms (0.3%)

rewrite33.0ms (1.5%)

series207.0ms (9.4%)

simplify75.0ms (3.4%)

prune71.0ms (3.2%)

localize10.0ms (0.4%)

rewrite27.0ms (1.2%)

series275.0ms (12.5%)

simplify106.0ms (4.8%)

prune87.0ms (4%)

localize9.0ms (0.4%)

rewrite16.0ms (0.7%)

series73.0ms (3.3%)

simplify74.0ms (3.3%)

prune41.0ms (1.8%)

regimes98.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample650.0ms (29.5%)

Profiling