Details

analyze386.0ms (2.3%)

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

Symmetry

(sort a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample82.0ms (0.5%)

Algorithm

1×

intervals

Results

35.0ms	74×	body	1024	valid
13.0ms	134×	body	128	valid
8.0ms	33×	body	512	valid
3.0ms	4×	body	2048	valid
1.0ms	11×	body	256	valid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify8.0ms (0%)

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%)

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

32.1b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
3.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

32.1b

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)

series250.0ms (1.5%)

Error

0.6b

Counts

2 → 24

Calls

2 calls:

186.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
38.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 824 to 622 computations (24.5% saved)

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5058	926

prune47.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

0.6b

Counts

52 → 3

Compiler

Compiled 770 to 367 computations (52.3% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

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

rewrite50.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

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

Counts

3 → 39

Calls

3 calls:

6.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
4.0ms	(+.f64 1 (exp.f64 a))
4.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 719 to 455 computations (36.7% saved)

series97.0ms (0.6%)

Error

0.6b

Counts

3 → 16

Calls

3 calls:

61.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
13.0ms	(+.f64 1 (exp.f64 a))
11.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 525 to 416 computations (20.8% saved)

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4964	569
1	4964	569

prune50.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

0.6b

Counts

58 → 3

Compiler

Compiled 958 to 627 computations (34.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a)))))
0.1b	(*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))))
0.6b	(-.f64 (+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))) (.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a))))))
1.0b	(-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a))))

rewrite5.2s (31.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

238×	`times-frac_binary64`
205×	`*-un-lft-identity_binary64`
184×	`add-sqr-sqrt_binary64`
123×	`add-cube-cbrt_binary64`
115×	`associate-l_binary64`
96×	`unpow-prod-down_binary64`
91×	`cancel-sign-sub-inv_binary64`
60×	`frac-sub_binary64` `associate-r_binary64`
57×	`flip3-+_binary64` `flip-+_binary64`
53×	`associate-*l/_binary64`
50×	`frac-add_binary64`
47×	`associate-*r/_binary64`
46×	`frac-times_binary64`
44×	`cube-prod_binary64`
39×	`distribute-lft-out_binary64`
38×	`distribute-rgt-in_binary64` `associate--r+_binary64` `distribute-lft-in_binary64`
37×	`add-exp-log_binary64`
34×	`sqr-pow_binary64`
28×	`flip3--_binary64` `flip--_binary64`
22×	`unswap-sqr_binary64`
18×	`add-log-exp_binary64`
16×	`unpow2_binary64`
14×	`add-cbrt-cube_binary64` `prod-exp_binary64`
13×	`unpow3_binary64` `cube-mult_binary64`
12×	`associate-/r/_binary64` `div-exp_binary64`
8×	`pow1_binary64`
7×	`div-inv_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
6×	`sub-neg_binary64` `sum-log_binary64`
5×	`diff-log_binary64`
4×	`difference-of-squares_binary64` `associate-+l-_binary64` `cbrt-unprod_binary64`
2×	`distribute-lft-out--_binary64` `log-div_binary64` `associate--l-_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `*-commutative_binary64`
1×	`associate--l+_binary64`

Counts

4 → 425

Calls

4 calls:

46.0ms	(*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a)))))
34.0ms	(-.f64 (+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))) (.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a))))))
19.0ms	(*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))))
11.0ms	(-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a))))

Compiler

Compiled 46660 to 32668 computations (30% saved)

series1.4s (8.4%)

Error

0.6b

Counts

4 → 35

Calls

4 calls:

796.0ms	(-.f64 (+.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))) (.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) b) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))) (.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a))))))
307.0ms	(*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a)))))
147.0ms	(*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))))
60.0ms	(-.f64 1/2 (/.f64 1/3 (+.f64 1 (exp.f64 a))))

Compiler

Compiled 4979 to 3699 computations (25.7% saved)

simplify357.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

460 → 460

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4948	40303
1	4948	40303

prune4.4s (26.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	460	0	460
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	460	3	463

Error

0.6b

Counts

463 → 3

Compiler

Compiled 44488 to 30799 computations (30.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (+.f64 (exp.f64 b) 1))
0.0b	(+.f64 (.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1)))) (/.f64 a (+.f64 (exp.f64 b) 1)))
0.3b	(.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1))))
1.5b	(log.f64 (+.f64 (exp.f64 b) 1))

rewrite242.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

27×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-cbrt-cube_binary64`
12×	`times-frac_binary64`
10×	`pow1_binary64`
8×	`associate-*l/_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`distribute-lft-out_binary64` `add-log-exp_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-add_binary64`
4×	`log-prod_binary64` `frac-times_binary64` `associate-r/_binary64` `associate-r_binary64` `associate-/r_binary64`
3×	`pow-prod-down_binary64` `associate-/l*_binary64`
2×	`log-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+l+_binary64` `associate-/r/_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 94

Calls

4 calls:

26.0ms	(+.f64 (.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1)))) (/.f64 a (+.f64 (exp.f64 b) 1)))
19.0ms	(.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1))))
6.0ms	(/.f64 a (+.f64 (exp.f64 b) 1))
4.0ms	(log.f64 (+.f64 (exp.f64 b) 1))

Compiler

Compiled 4070 to 2648 computations (34.9% saved)

series816.0ms (4.9%)

Error

0.6b

Counts

4 → 29

Calls

4 calls:

410.0ms	(+.f64 (.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1)))) (/.f64 a (+.f64 (exp.f64 b) 1)))
218.0ms	(.f64 (.f64 (/.f64 a (+.f64 (exp.f64 b) 1)) a) (+.f64 1/2 (/.f64 -1/2 (+.f64 (exp.f64 b) 1))))
84.0ms	(/.f64 a (+.f64 (exp.f64 b) 1))
68.0ms	(log.f64 (+.f64 (exp.f64 b) 1))

Compiler

Compiled 2394 to 1774 computations (25.9% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5243	2896

prune198.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Error

0.6b

Counts

126 → 3

Compiler

Compiled 4365 to 2845 computations (34.8% saved)

regimes244.0ms (1.5%)

Accuracy

Total 0.5b remaining (45.2%)

Threshold costs 0.5b (45.2%)

Compiler

Compiled 2507 to 1802 computations (28.1% saved)

bsearch0.0ms (0%)

simplify10.0ms (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 (14.6%)

Algorithm

1×

intervals

Results

898.0ms	1985×	body	1024	valid
233.0ms	984×	body	512	valid
186.0ms	4348×	body	128	valid
125.0ms	201×	body	2048	valid
58.0ms	482×	body	256	valid
5.0ms	136×	body	128	overflowed

Compiler

Compiled 367 to 269 computations (26.7% saved)

Details

analyze386.0ms (2.3%)

sample82.0ms (0.5%)

simplify8.0ms (0%)

prune4.0ms (0%)

localize7.0ms (0%)

rewrite36.0ms (0.2%)

series250.0ms (1.5%)

simplify66.0ms (0.4%)

prune47.0ms (0.3%)

localize7.0ms (0%)

rewrite50.0ms (0.3%)

series97.0ms (0.6%)

simplify49.0ms (0.3%)

prune50.0ms (0.3%)

localize30.0ms (0.2%)

rewrite5.2s (31.3%)

series1.4s (8.4%)

simplify357.0ms (2.2%)

prune4.4s (26.8%)

localize14.0ms (0.1%)

rewrite242.0ms (1.5%)

series816.0ms (4.9%)

simplify56.0ms (0.3%)

prune198.0ms (1.2%)

regimes244.0ms (1.5%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample2.4s (14.6%)

Profiling