Details

analyze374.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	8	20
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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Symmetry

(sort a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample76.0ms (1%)

Algorithm

1×

intervals

Results

29.0ms	63×	body	1024	valid
14.0ms	30×	body	512	valid
6.0ms	144×	body	128	valid
5.0ms	6×	body	2048	valid
2.0ms	13×	body	256	valid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune4.0ms (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

28.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

Rules

7×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

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

Compiler

Compiled 363 to 92 computations (74.7% saved)

series255.0ms (3.2%)

Error

0.0b

Counts

2 → 23

Calls

2 calls:

195.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
37.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 751 to 569 computations (24.2% saved)

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune43.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

0.0b

Counts

51 → 4

Compiler

Compiled 655 to 279 computations (57.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite98.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
8×	`log-prod_binary64` `distribute-lft-out_binary64`
6×	`add-exp-log_binary64`
5×	`pow1_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `add-log-exp_binary64` `associate-+l+_binary64` `associate-/r*_binary64`
3×	`associate-/l*_binary64`
2×	`log-pow_binary64` `associate-+l-_binary64` `associate-/r/_binary64`
1×	`rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 67

Calls

3 calls:

13.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
8.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
4.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 1384 to 858 computations (38% saved)

series373.0ms (4.7%)

Error

0.0b

Counts

3 → 23

Calls

3 calls:

216.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
79.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
63.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 749 to 588 computations (21.5% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4967	1473
1	4967	1473

prune83.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	90	4	94

Error

0.0b

Counts

94 → 4

Compiler

Compiled 1599 to 1003 computations (37.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
3.1b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
4.4b	(-.f64 (exp.f64 b) (exp.f64 a))
7.5b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

rewrite191.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
10×	`add-cube-cbrt_binary64` `distribute-lft-out_binary64`
9×	`associate--l+_binary64`
8×	`log-div_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
7×	`log-pow_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-exp-log_binary64` `add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `add-cbrt-cube_binary64`
3×	`associate--r+_binary64`
2×	`rem-log-exp_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `sum-cubes_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

4 → 86

Calls

4 calls:

25.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
13.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.0ms	(-.f64 (exp.f64 b) (exp.f64 a))
5.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

Compiler

Compiled 3323 to 1568 computations (52.8% saved)

series2.4s (30.5%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

1.2s	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
724.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
307.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
51.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 6294 to 4248 computations (32.5% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4971	5660
1	4971	5660

prune230.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Error

0.0b

Counts

134 → 4

Compiler

Compiled 5344 to 2801 computations (47.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
3.6b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
3.6b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

rewrite73.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64` `add-log-exp_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `sqrt-div_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 1454 to 242 computations (83.4% saved)

series554.0ms (7%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

215.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
213.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
41.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
40.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2536 to 1494 computations (41.1% saved)

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4969	1984
1	4969	1984

prune90.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Error

0.0b

Counts

114 → 4

Compiler

Compiled 2344 to 638 computations (72.8% saved)

regimes240.0ms (3%)

Accuracy

Total 0.7b remaining (53.4%)

Threshold costs 0.7b (53.4%)

Compiler

Compiled 2468 to 1795 computations (27.3% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

Compiler

Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

sample2.4s (30.1%)

Algorithm

1×

intervals

Results

899.0ms	1962×	body	1024	valid
233.0ms	969×	body	512	valid
192.0ms	4397×	body	128	valid
124.0ms	201×	body	2048	valid
57.0ms	471×	body	256	valid
5.0ms	126×	body	128	overflowed

Compiler

Compiled 365 to 271 computations (25.8% saved)

Details

analyze374.0ms (4.7%)

sample76.0ms (1%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite33.0ms (0.4%)

series255.0ms (3.2%)

simplify96.0ms (1.2%)

prune43.0ms (0.5%)

localize7.0ms (0.1%)

rewrite98.0ms (1.2%)

series373.0ms (4.7%)

simplify76.0ms (1%)

prune83.0ms (1.1%)

localize16.0ms (0.2%)

rewrite191.0ms (2.4%)

series2.4s (30.5%)

simplify99.0ms (1.2%)

prune230.0ms (2.9%)

localize9.0ms (0.1%)

rewrite73.0ms (0.9%)

series554.0ms (7%)

simplify86.0ms (1.1%)

prune90.0ms (1.1%)

regimes240.0ms (3%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.4s (30.1%)

Profiling