Details

analyze352.0ms (5.3%)

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample72.0ms (1.1%)

Algorithm

1×

intervals

Results

39.0ms	65×	body	1024	valid
7.0ms	33×	body	512	valid
7.0ms	135×	body	128	valid
5.0ms	9×	body	2048	valid
2.0ms	14×	body	256	valid
0.0ms	9×	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

32.5b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
5.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

series75.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4895	460
1	4895	460

prune36.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	6	34

Error

32.2b

Counts

34 → 6

Compiler

Compiled 448 to 170 computations (62.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.4b	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
0.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
5.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
14×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
5×	`log-pow_binary64` `add-cbrt-cube_binary64`
4×	`log-prod_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `sqr-pow_binary64` `log-div_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 75

Calls

4 calls:

5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))

series181.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
44.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
38.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4898	1295
1	4898	1295

prune76.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Error

32.1b

Counts

93 → 9

Compiler

Compiled 1279 to 521 computations (59.3% saved)

localize15.0ms (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))))))
4.9b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.5b	(-.f64 (exp.f64 b) (exp.f64 a))
10.6b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

rewrite53.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

21.0ms	(-.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))))))
12.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
5.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

series499.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

241.0ms	(-.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))))))
144.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
89.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
26.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5702	3035

prune156.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	99	8	107

Error

32.0b

Counts

107 → 8

Compiler

Compiled 3474 to 1701 computations (51% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.7b	(/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))))
4.9b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.4b	(-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))
10.4b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))))))))

rewrite96.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`add-sqr-sqrt_binary64`
99×	`*-un-lft-identity_binary64`
80×	`difference-of-squares_binary64`
75×	`times-frac_binary64`
67×	`unpow-prod-down_binary64` `cube-prod_binary64`
41×	`sqr-pow_binary64`
39×	`add-cube-cbrt_binary64`
25×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
12×	`log-prod_binary64` `cancel-sign-sub-inv_binary64`
8×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64`
5×	`difference-cubes_binary64` `distribute-lft-out_binary64`
4×	`log-div_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `rem-log-exp_binary64` `log-pow_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `sum-cubes_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 199

Calls

4 calls:

27.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))))
14.0ms	(-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))
13.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))))))))

series1.4s (20.7%)

Counts

4 → 12

Calls

4 calls:

971.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))))))))
262.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))))
93.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
58.0ms	(-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))

simplify166.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5492	10301

prune634.0ms (9.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	211	8	219

Error

32.0b

Counts

219 → 8

Compiler

Compiled 12239 to 6054 computations (50.5% saved)

regimes263.0ms (3.9%)

Accuracy

Total 0.3b remaining (1.2%)

Threshold costs 0.3b (1.2%)

Compiler

Compiled 3640 to 2460 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample2.3s (33.9%)

Algorithm

1×

intervals

Results

893.0ms	1964×	body	1024	valid
234.0ms	996×	body	512	valid
194.0ms	4407×	body	128	valid
122.0ms	198×	body	2048	valid
53.0ms	435×	body	256	valid
5.0ms	132×	body	128	overflowed

Compiler

Compiled 614 to 418 computations (31.9% saved)

Details

analyze352.0ms (5.3%)

sample72.0ms (1.1%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite12.0ms (0.2%)

series75.0ms (1.1%)

simplify97.0ms (1.4%)

prune36.0ms (0.5%)

localize8.0ms (0.1%)

rewrite19.0ms (0.3%)

series181.0ms (2.7%)

simplify92.0ms (1.4%)

prune76.0ms (1.1%)

localize15.0ms (0.2%)

rewrite53.0ms (0.8%)

series499.0ms (7.5%)

simplify95.0ms (1.4%)

prune156.0ms (2.3%)

localize20.0ms (0.3%)

rewrite96.0ms (1.4%)

series1.4s (20.7%)

simplify166.0ms (2.5%)

prune634.0ms (9.5%)

regimes263.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (33.9%)

Profiling