Details

analyze166.0ms (4.3%)

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)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.2%)

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

0.5b

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

rewrite51.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64_4170`
12×	`times-frac_binary64_4176`
11×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192`
5×	`distribute-lft-out_binary64_4121`
4×	`add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `associate-/r*_binary64_4114`
3×	`add-exp-log_binary64_4208` `associate-/l*_binary64_4115`
2×	`pow1_binary64_4231` `flip3-+_binary64_4173` `associate-/r/_binary64_4116` `flip-+_binary64_4144`
1×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `sum-log_binary64_4261` `+-commutative_binary64_4100`

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)

series227.0ms (5.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

163.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5229	1560

prune58.0ms (1.5%)

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 1218 to 433 computations (64.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
0.3b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite178.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

81×	`*-un-lft-identity_binary64_4170`
60×	`times-frac_binary64_4176`
47×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192`
42×	`cbrt-prod_binary64_4201`
36×	`unpow-prod-down_binary64_4249` `cube-prod_binary64_4198`
17×	`distribute-lft-out_binary64_4121`
10×	`associate-/r/_binary64_4116`
9×	`add-cbrt-cube_binary64_4206`
7×	`add-exp-log_binary64_4208`
6×	`add-log-exp_binary64_4209` `flip3-+_binary64_4173` `flip-+_binary64_4144`
5×	`pow1_binary64_4231` `div-inv_binary64_4167`
4×	`associate-/r*_binary64_4114`
3×	`associate-/l*_binary64_4115` `pow-unpow_binary64_4247`
2×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `cube-div_binary64_4199` `unpow3_binary64_4236` `cube-mult_binary64_4200` `sqr-pow_binary64_4142` `pow-exp_binary64_4238` `rem-cube-cbrt_binary64_4193`
1×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `pow1/3_binary64_4252` `cbrt-div_binary64_4202` `rem-cbrt-cube_binary64_4194` `pow-pow_binary64_4242` `pow-to-exp_binary64_4239` `sum-log_binary64_4261` `+-commutative_binary64_4100`

Counts

4 → 153

Calls

4 calls:

11.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3451 to 1079 computations (68.7% saved)

series797.0ms (20.5%)

Error

Counts

4 → 48

Calls

4 calls:

384.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
155.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
151.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
40.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3160 to 2253 computations (28.7% saved)

simplify102.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4956	5507
1	4956	5507

prune178.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	201	3	204

Error

Counts

204 → 3

Compiler

Compiled 4206 to 1753 computations (58.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_4170`
12×	`times-frac_binary64_4176`
11×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192`
6×	`add-exp-log_binary64_4208`
5×	`distribute-lft-out_binary64_4121`
4×	`add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `associate-/r*_binary64_4114`
3×	`pow1_binary64_4231` `associate-/l*_binary64_4115`
2×	`div-exp_binary64_4221` `flip3-+_binary64_4173` `associate-/r/_binary64_4116` `flip-+_binary64_4144`
1×	`inv-pow_binary64_4255` `pow-flip_binary64_4244` `1-exp_binary64_4214` `rec-exp_binary64_4220` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `sum-log_binary64_4261` `+-commutative_binary64_4100`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
3.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 634 to 468 computations (26.2% saved)

series53.0ms (1.4%)

Error

Counts

2 → 12

Calls

2 calls:

33.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
12.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 212 to 207 computations (2.4% saved)

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5289	729

prune42.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 659 to 486 computations (26.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 b (exp.f64 a))
0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
0.5b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.5b	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

rewrite161.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64_4170`
23×	`add-sqr-sqrt_binary64_4192`
21×	`add-cube-cbrt_binary64_4205` `times-frac_binary64_4176`
17×	`add-exp-log_binary64_4208`
13×	`add-cbrt-cube_binary64_4206` `associate-/r*_binary64_4114`
12×	`unpow-prod-down_binary64_4249`
7×	`pow1_binary64_4231` `div-exp_binary64_4221` `distribute-lft-out_binary64_4121`
4×	`prod-exp_binary64_4219` `add-log-exp_binary64_4209` `associate-/l*_binary64_4115`
3×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `cbrt-undiv_binary64_4204` `unpow2_binary64_4235` `sqr-pow_binary64_4142` `pow-unpow_binary64_4247` `associate-l_binary64_4111` `associate-r_binary64_4110`
2×	`cbrt-unprod_binary64_4203` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/r/_binary64_4116`
1×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `pow-pow_binary64_4242` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138` `*-commutative_binary64_4101`

Counts

4 → 107

Calls

4 calls:

10.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
9.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
5.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
5.0ms	(*.f64 b (exp.f64 a))

Compiler

Compiled 2814 to 1478 computations (47.5% saved)

series310.0ms (8%)

Error

Counts

4 → 20

Calls

4 calls:

181.0ms	(/.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)))
45.0ms	(*.f64 b (exp.f64 a))
22.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)

Compiler

Compiled 1102 to 707 computations (35.8% saved)

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5009	1799

prune124.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 2913 to 1507 computations (48.3% saved)

regimes213.0ms (5.5%)

Accuracy

Total 0.3b remaining (65.7%)

Threshold costs 0.3b (65.7%)

Compiler

Compiled 2584 to 1874 computations (27.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample938.0ms (24.2%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	128	valid
14.0ms	676×	body	128	overflowed

Compiler

Compiled 480 to 354 computations (26.3% saved)

Details

analyze166.0ms (4.3%)

sample16.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite51.0ms (1.3%)

series227.0ms (5.8%)

simplify39.0ms (1%)

prune58.0ms (1.5%)

localize8.0ms (0.2%)

rewrite178.0ms (4.6%)

series797.0ms (20.5%)

simplify102.0ms (2.6%)

prune178.0ms (4.6%)

localize4.0ms (0.1%)

rewrite48.0ms (1.2%)

series53.0ms (1.4%)

simplify65.0ms (1.7%)

prune42.0ms (1.1%)

localize9.0ms (0.2%)

rewrite161.0ms (4.2%)

series310.0ms (8%)

simplify79.0ms (2%)

prune124.0ms (3.2%)

regimes213.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample938.0ms (24.2%)

Profiling