Details

sample2.3s

Algorithm

intervals

Results

1.6s	224×	body	5120	exit
448.0ms	2699×	body	80	overflowed
66.0ms	3181×	pre	80	true
25.0ms	242×	body	80	valid
6.0ms	2×	body	2560	valid
3.0ms	10×	body	160	valid
2.0ms	1×	body	1280	overflowed
1.0ms	1×	body	640	valid
1.0ms	1×	body	320	valid
0.0ms	1×	body	160	overflowed

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	25
1	147	25
2	850	25
3	5001	25

prune7.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 6.0b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
0.7b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
3.9b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
36×	`unpow-prod-down` `*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`div-inv`
2×	`pow-pow` `flip3-+` `flip-+` `difference-of-squares` `sqr-pow`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 267

Calls

4 calls:

9.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
41.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series839.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
78.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
78.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
628.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify106.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	982	5948
1	3157	5704
2	5003	5704

prune611.0ms

Filtered

279 candidates to 79 candidates (28.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	3	280

Merged error: 0.8b

Counts

280 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 36

Calls

2 calls:

5.0ms	(* 0.5 (* s c_n))
5.0ms	(* 0.5 (* s c_p))

series42.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* 0.5 (* s c_n))
21.0ms	(* 0.5 (* s c_p))

simplify63.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	153	142
1	595	112
2	2373	112
3	5002	112

prune123.0ms

Filtered

42 candidates to 22 candidates (52.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Merged error: 0.8b

Counts

45 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
28.9b	(cbrt (* 0.5 (* s c_n)))
28.9b	(cbrt (* 0.5 (* s c_n)))
28.9b	(cbrt (* 0.5 (* s c_n)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
3.0ms	(cbrt (* 0.5 (* s c_n)))
3.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
102.0ms	(cbrt (* 0.5 (* s c_n)))
99.0ms	(cbrt (* 0.5 (* s c_n)))
103.0ms	(cbrt (* 0.5 (* s c_n)))

simplify103.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	205	441
1	703	390
2	3412	322
3	5001	315

prune313.0ms

Filtered

70 candidates to 52 candidates (74.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.8b

Counts

73 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (* 0.5 (* s c_n))) 6)
28.9b	(cbrt (* 0.5 (* s c_n)))
28.9b	(cbrt (* 0.5 (* s c_n)))
44.0b	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`unpow-prod-down`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`cbrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 62

Calls

4 calls:

3.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
3.0ms	(cbrt (* 0.5 (* s c_n)))
3.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series560.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
96.0ms	(cbrt (* 0.5 (* s c_n)))
96.0ms	(cbrt (* 0.5 (* s c_n)))
218.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify38.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	254	456
1	869	410
2	5002	354

prune337.0ms

Filtered

74 candidates to 51 candidates (68.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 0.8b

Counts

77 → 4

regimes1.2s

bsearch1.6s

Steps

Iters	Range		Point
8	-762596990638.8517	-14998534.121168613	-732000285.6622545

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	43
1	62	43

end0.0ms

sample46.1s

Algorithm

intervals

Results

31.1s	4768×	body	5120	exit
9.6s	62108×	body	80	overflowed
1.4s	72038×	pre	80	true
500.0ms	4961×	body	80	valid
113.0ms	7×	body	5120	valid
93.0ms	44×	body	1280	valid
33.0ms	9×	body	2560	valid
26.0ms	26×	body	640	valid
20.0ms	66×	body	160	valid
13.0ms	25×	body	320	valid
6.0ms	3×	body	1280	overflowed
5.0ms	3×	body	640	overflowed
5.0ms	7×	body	320	overflowed
5.0ms	11×	body	160	overflowed

Details

sample2.3s

simplify27.0ms

prune7.0ms

localize23.0ms

rewrite86.0ms

series839.0ms

simplify106.0ms

prune611.0ms

localize9.0ms

rewrite11.0ms

series42.0ms

simplify63.0ms

prune123.0ms

localize12.0ms

rewrite18.0ms

series451.0ms

simplify103.0ms

prune313.0ms

localize21.0ms

rewrite15.0ms

series560.0ms

simplify38.0ms

prune337.0ms

regimes1.2s

bsearch1.6s

simplify2.0ms

end0.0ms

sample46.1s

Profiling