Details

analyze167.0ms (5.5%)

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)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	24×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

0.5b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (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)))

rewrite45.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

21×	`*-un-lft-identity_binary64_3829`
12×	`times-frac_binary64_3835`
11×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
5×	`distribute-lft-out_binary64_3780`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `associate-/r*_binary64_3773`
3×	`add-exp-log_binary64_3867` `associate-/l*_binary64_3774`
2×	`pow1_binary64_3890` `flip3-+_binary64_3832` `associate-/r/_binary64_3775` `flip-+_binary64_3803`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 750 to 153 computations (79.6% saved)

series229.0ms (7.6%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

165.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5229	1560

prune58.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

Counts

70 → 3

Compiler

Compiled 1216 to 432 computations (64.5% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
1.5b	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
1.6b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite58.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`*-un-lft-identity_binary64_3829`
8×	`log-prod_binary64_3915` `add-sqr-sqrt_binary64_3851`
6×	`pow1_binary64_3890` `add-cube-cbrt_binary64_3864` `add-log-exp_binary64_3868`
4×	`log-div_binary64_3916` `add-exp-log_binary64_3867` `cancel-sign-sub-inv_binary64_3795` `associate--r+_binary64_3765`
3×	`log-pow_binary64_3918` `flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780` `add-cbrt-cube_binary64_3865`
2×	`distribute-lft-out--_binary64_3781` `associate--r-_binary64_3768`
1×	`rem-log-exp_binary64_3870` `diff-log_binary64_3921` `flip3--_binary64_3833` `sub-neg_binary64_3822` `flip--_binary64_3804` `difference-of-squares_binary64_3798` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

3 → 51

Calls

3 calls:

10.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
5.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 888 to 244 computations (72.5% saved)

series433.0ms (14.4%)

Error

Counts

3 → 36

Calls

3 calls:

192.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
173.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
35.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1508 to 1090 computations (27.7% saved)

simplify91.0ms (3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4949	1602
1	4949	1602

prune74.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Error

Counts

90 → 3

Compiler

Compiled 1398 to 575 computations (58.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (exp.f64 b))
0.3b	(log.f64 (+.f64 1 (exp.f64 b)))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64_3829`
4×	`log-prod_binary64_3915` `add-log-exp_binary64_3868`
3×	`pow1_binary64_3890` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `add-exp-log_binary64_3867`
2×	`flip3-+_binary64_3832` `log-div_binary64_3916` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780` `add-cbrt-cube_binary64_3865`
1×	`log-pow_binary64_3918` `rem-log-exp_binary64_3870` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

2 → 27

Calls

2 calls:

4.0ms	(log.f64 (+.f64 1 (exp.f64 b)))
3.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 367 to 267 computations (27.2% saved)

series81.0ms (2.7%)

Error

Counts

2 → 12

Calls

2 calls:

59.0ms	(log.f64 (+.f64 1 (exp.f64 b)))
13.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 256 to 251 computations (2% saved)

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4985	433
1	4985	433

prune34.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Error

Counts

42 → 3

Compiler

Compiled 449 to 342 computations (23.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
0.3b	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

rewrite150.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64_3829`
21×	`times-frac_binary64_3835`
19×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
16×	`add-exp-log_binary64_3867`
13×	`associate-/r*_binary64_3773`
12×	`unpow-prod-down_binary64_3908`
11×	`add-cbrt-cube_binary64_3865`
8×	`distribute-lft-out_binary64_3780`
7×	`div-exp_binary64_3880`
6×	`add-log-exp_binary64_3868`
5×	`pow1_binary64_3890`
4×	`associate-/l*_binary64_3774`
3×	`cbrt-undiv_binary64_3863` `pow-to-exp_binary64_3898` `prod-exp_binary64_3878` `pow-exp_binary64_3897` `unpow2_binary64_3894` `sqr-pow_binary64_3801` `pow-unpow_binary64_3906`
2×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `flip3-+_binary64_3832` `associate-/r/_binary64_3775` `flip-+_binary64_3803`
1×	`cbrt-unprod_binary64_3862` `pow-pow_binary64_3901` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
6.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
4.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 2682 to 1439 computations (46.3% saved)

series275.0ms (9.2%)

Error

Counts

4 → 18

Calls

4 calls:

178.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
45.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
25.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
12.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 958 to 620 computations (35.3% saved)

simplify84.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4992	1766
1	4992	1766

prune129.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Error

Counts

122 → 3

Compiler

Compiled 2749 to 1448 computations (47.3% saved)

regimes147.0ms (4.9%)

Accuracy

Total 0.4b remaining (70.4%)

Threshold costs 0.4b (70.4%)

Compiler

Compiled 1056 to 959 computations (9.2% 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%)

sample764.0ms (25.4%)

Algorithm

1×

intervals

Results

219.0ms	8000×	body	128	valid
14.0ms	639×	body	128	overflowed

Compiler

Compiled 201 to 183 computations (9% saved)

Details

analyze167.0ms (5.5%)

sample17.0ms (0.6%)

simplify12.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite45.0ms (1.5%)

series229.0ms (7.6%)

simplify39.0ms (1.3%)

prune58.0ms (1.9%)

localize9.0ms (0.3%)

rewrite58.0ms (1.9%)

series433.0ms (14.4%)

simplify91.0ms (3%)

prune74.0ms (2.5%)

localize6.0ms (0.2%)

rewrite36.0ms (1.2%)

series81.0ms (2.7%)

simplify51.0ms (1.7%)

prune34.0ms (1.1%)

localize9.0ms (0.3%)

rewrite150.0ms (5%)

series275.0ms (9.2%)

simplify84.0ms (2.8%)

prune129.0ms (4.3%)

regimes147.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample764.0ms (25.4%)

Profiling