Details

analyze77.0ms (1.2%)

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)

sample17.0ms (0.3%)

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)

simplify101.0ms (1.6%)

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%)

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

0.3b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64_4852`
12×	`times-frac_binary64_4858`
11×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874`
5×	`distribute-lft-out_binary64_4803`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `associate-/r*_binary64_4796`
3×	`add-exp-log_binary64_4890` `associate-/l*_binary64_4797`
2×	`pow1_binary64_4913` `flip3-+_binary64_4855` `associate-/r/_binary64_4798` `flip-+_binary64_4826`
1×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849` `sum-log_binary64_4943` `+-commutative_binary64_4782`

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)

series239.0ms (3.7%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

171.0ms	(/.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)

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5229	1560

prune64.0ms (1%)

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

0.2b

Counts

70 → 3

Compiler

Compiled 1242 to 447 computations (64% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
0.2b	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))

rewrite140.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

108×	`times-frac_binary64_4858`
95×	`*-un-lft-identity_binary64_4852`
61×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874`
19×	`associate-/r*_binary64_4796`
17×	`distribute-lft-out_binary64_4803`
12×	`add-exp-log_binary64_4890`
10×	`add-cbrt-cube_binary64_4888`
8×	`div-exp_binary64_4903`
7×	`associate-/l*_binary64_4797`
6×	`div-inv_binary64_4849`
5×	`add-log-exp_binary64_4891`
4×	`pow1_binary64_4913` `cbrt-undiv_binary64_4886`
2×	`frac-2neg_binary64_4863` `clear-num_binary64_4851` `flip3-+_binary64_4855` `associate-/l/_binary64_4799` `flip-+_binary64_4826` `1-exp_binary64_4896` `rec-exp_binary64_4902`
1×	`inv-pow_binary64_4937` `pow-flip_binary64_4926` `associate-/r/_binary64_4798` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

3 → 133

Calls

3 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
7.0ms	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2796 to 840 computations (70% saved)

series341.0ms (5.3%)

Error

Counts

3 → 36

Calls

3 calls:

173.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
93.0ms	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
42.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1574 to 1067 computations (32.2% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4963	4013
1	4963	4013

prune126.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	169	3	172

Error

Counts

172 → 3

Compiler

Compiled 3134 to 951 computations (69.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.3b	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
2.7b	(.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) b))
14.5b	(-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) b)) (-.f64 (.f64 1/2 (.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))

rewrite939.0ms (14.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

91×	`*-un-lft-identity_binary64_4852`
83×	`times-frac_binary64_4858`
77×	`add-sqr-sqrt_binary64_4874`
61×	`add-cube-cbrt_binary64_4887`
33×	`cancel-sign-sub-inv_binary64_4818`
31×	`associate-l_binary64_4793`
29×	`unpow-prod-down_binary64_4931`
20×	`frac-sub_binary64_4861`
19×	`associate--r+_binary64_4788`
14×	`add-exp-log_binary64_4890` `flip3--_binary64_4856` `flip--_binary64_4827` `distribute-lft-out_binary64_4803`
13×	`add-cbrt-cube_binary64_4888` `associate-r/_binary64_4794` `associate-/r_binary64_4796`
9×	`add-log-exp_binary64_4891` `associate-*l/_binary64_4795`
8×	`frac-times_binary64_4862` `distribute-rgt-in_binary64_4802` `associate--l+_binary64_4789` `distribute-lft-in_binary64_4801` `unpow2_binary64_4917` `sqr-pow_binary64_4824`
7×	`div-exp_binary64_4903`
6×	`pow1_binary64_4913` `sub-neg_binary64_4845` `associate-r_binary64_4792` `associate-/l*_binary64_4797`
5×	`unswap-sqr_binary64_4820`
4×	`div-inv_binary64_4849` `associate-/r/_binary64_4798` `prod-exp_binary64_4901`
3×	`diff-log_binary64_4944` `cbrt-undiv_binary64_4886`
2×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `pow-to-exp_binary64_4921` `pow-exp_binary64_4920` `cbrt-unprod_binary64_4885` `difference-of-squares_binary64_4821` `frac-2neg_binary64_4863` `clear-num_binary64_4851`
1×	`associate--r-_binary64_4791` `pow-prod-down_binary64_4923` `distribute-lft-out--_binary64_4804` `*-commutative_binary64_4783`

Counts

4 → 214

Calls

4 calls:

46.0ms	(-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) b)) (-.f64 (.f64 1/2 (.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
26.0ms	(.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) b))
8.0ms	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
6.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Compiler

Compiled 14089 to 7514 computations (46.7% saved)

series1.3s (19.8%)

Error

Counts

4 → 31

Calls

4 calls:

810.0ms	(-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) b)) (-.f64 (.f64 1/2 (.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
312.0ms	(.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) b))
66.0ms	(/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
45.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Compiler

Compiled 3210 to 2053 computations (36% saved)

simplify139.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4962	11645
1	4962	11645

prune732.0ms (11.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	245	3	248

Error

Counts

248 → 3

Compiler

Compiled 14286 to 7485 computations (47.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))
0.0b	(+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b)))
0.0b	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))))

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
13×	`add-cube-cbrt_binary64_4887`
9×	`times-frac_binary64_4858`
8×	`add-exp-log_binary64_4890`
7×	`add-cbrt-cube_binary64_4888`
6×	`pow1_binary64_4913`
5×	`add-log-exp_binary64_4891` `flip3-+_binary64_4855` `flip-+_binary64_4826`
4×	`frac-times_binary64_4862` `associate-r_binary64_4792`
3×	`associate-/l_binary64_4797` `associate-/r_binary64_4796` `neg-sub0_binary64_4847` `exp-diff_binary64_4900` `exp-neg_binary64_4899` `associate-l_binary64_4793`
2×	`div-exp_binary64_4903` `associate-/r/_binary64_4798` `distribute-rgt-in_binary64_4802` `associate-+r+_binary64_4784` `distribute-lft-in_binary64_4801` `associate-l/_binary64_4795` `associate-r/_binary64_4794`
1×	`inv-pow_binary64_4937` `pow-flip_binary64_4926` `1-exp_binary64_4896` `rec-exp_binary64_4902` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849` `sum-log_binary64_4943` `+-commutative_binary64_4782` `pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `distribute-lft-out_binary64_4803` `*-commutative_binary64_4783`

Counts

3 → 75

Calls

3 calls:

10.0ms	(*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))))
4.0ms	(+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b)))

Compiler

Compiled 1535 to 1028 computations (33% saved)

series402.0ms (6.2%)

Error

Counts

3 → 34

Calls

3 calls:

180.0ms	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))))
100.0ms	(+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b)))
88.0ms	(*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))

Compiler

Compiled 1720 to 1300 computations (24.4% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5005	2130

prune101.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 1914 to 1317 computations (31.2% saved)

regimes417.0ms (6.5%)

Accuracy

Total 0.6b remaining (99.1%)

Threshold costs 0.6b (99.1%)

Compiler

Compiled 2493 to 1854 computations (25.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample945.0ms (14.6%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	128	valid
15.0ms	700×	body	128	overflowed

Compiler

Compiled 447 to 339 computations (24.2% saved)

Details

analyze77.0ms (1.2%)

sample17.0ms (0.3%)

simplify101.0ms (1.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite49.0ms (0.8%)

series239.0ms (3.7%)

simplify43.0ms (0.7%)

prune64.0ms (1%)

localize7.0ms (0.1%)

rewrite140.0ms (2.2%)

series341.0ms (5.3%)

simplify91.0ms (1.4%)

prune126.0ms (2%)

localize20.0ms (0.3%)

rewrite939.0ms (14.6%)

series1.3s (19.8%)

simplify139.0ms (2.2%)

prune732.0ms (11.3%)

localize7.0ms (0.1%)

rewrite95.0ms (1.5%)

series402.0ms (6.2%)

simplify69.0ms (1.1%)

prune101.0ms (1.6%)

regimes417.0ms (6.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample945.0ms (14.6%)

Profiling