Details

analyze78.0ms (3.4%)

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
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)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	22×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify101.0ms (4.4%)

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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
11×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
5×	`distribute-lft-out_binary64_3098`
4×	`add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091` `add-log-exp_binary64_3186`
3×	`add-exp-log_binary64_3185` `associate-/l*_binary64_3092`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `pow1_binary64_3208` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series72.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify74.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5701	899

prune36.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0.2b

Counts

52 → 4

Compiler

Compiled 755 to 172 computations (77.2% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.2b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.1b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3147`
13×	`add-sqr-sqrt_binary64_3169`
9×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182`
8×	`cancel-sign-sub-inv_binary64_3113` `log-prod_binary64_3233`
7×	`exp-sum_binary64_3193`
6×	`exp-prod_binary64_3199` `log-div_binary64_3234`
5×	`add-exp-log_binary64_3185` `log-pow_binary64_3236`
4×	`flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `distribute-lft-out--_binary64_3099` `associate--r+_binary64_3083` `associate--r-_binary64_3086`
3×	`distribute-lft-out_binary64_3098`
2×	`sub-neg_binary64_3140` `difference-of-squares_binary64_3116` `rem-exp-log_binary64_3187` `diff-log_binary64_3239`
1×	`flip--_binary64_3122` `rem-log-exp_binary64_3188` `flip3--_binary64_3151` `+-commutative_binary64_3077` `exp-diff_binary64_3195` `sum-log_binary64_3238`

Counts

4 → 74

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series153.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
39.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
39.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify74.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5980	1300

prune58.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0.2b

Counts

90 → 4

Compiler

Compiled 1225 to 339 computations (72.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_3147`
36×	`times-frac_binary64_3153` `exp-prod_binary64_3199`
30×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
19×	`log-pow_binary64_3236`
11×	`distribute-lft-out_binary64_3098`
7×	`add-log-exp_binary64_3186`
6×	`add-cbrt-cube_binary64_3183` `associate-/r/_binary64_3093`
5×	`add-exp-log_binary64_3185` `pow1_binary64_3208`
4×	`flip-+_binary64_3121` `associate-/r*_binary64_3091` `flip3-+_binary64_3150`
3×	`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` `+-commutative_binary64_3077` `cbrt-undiv_binary64_3181` `rem-exp-log_binary64_3187` `div-exp_binary64_3198` `sum-log_binary64_3238`

Counts

4 → 101

Calls

4 calls:

9.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
8.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series237.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
67.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
58.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify86.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5736	1915

prune78.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0.2b

Counts

117 → 4

Compiler

Compiled 1922 to 387 computations (79.9% 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))))

rewrite15.0ms (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:

7.0ms	(.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)))))

series79.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(log.f64 (.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b)))))
26.0ms	(.f64 (exp.f64 1/2) (+.f64 1 (.f64 1/4 (-.f64 a b))))

simplify83.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5074	754

prune42.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	42	4	46

Merged error: 0.2b

Counts

46 → 4

Compiler

Compiled 697 to 514 computations (26.3% saved)

regimes91.0ms (4%)

Compiler: Compiled 504 to 463 computations (8.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample784.0ms (34.5%)

Algorithm

1×

intervals

Results

444.0ms	8000×	body	128	valid
17.0ms	692×	body	128	overflowed

Compiler

Compiled 110 to 102 computations (7.3% saved)

Details

analyze78.0ms (3.4%)

sample14.0ms (0.6%)

simplify101.0ms (4.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.7%)

series72.0ms (3.2%)

simplify74.0ms (3.3%)

prune36.0ms (1.6%)

localize8.0ms (0.4%)

rewrite28.0ms (1.2%)

series153.0ms (6.7%)

simplify74.0ms (3.2%)

prune58.0ms (2.6%)

localize8.0ms (0.4%)

rewrite38.0ms (1.7%)

series237.0ms (10.4%)

simplify86.0ms (3.8%)

prune78.0ms (3.4%)

localize9.0ms (0.4%)

rewrite15.0ms (0.7%)

series79.0ms (3.5%)

simplify83.0ms (3.7%)

prune42.0ms (1.9%)

regimes91.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample784.0ms (34.5%)

Profiling