Details

sample2.1s

Algorithm

intervals

Results

1.3s	192×	body	5120	exit
560.0ms	3086×	body	80	overflowed
75.0ms	3536×	pre	80	true
30.0ms	245×	body	80	valid
12.0ms	2×	body	5120	valid
2.0ms	1×	body	1280	valid
2.0ms	6×	body	160	valid
2.0ms	2×	body	320	overflowed
1.0ms	1×	body	640	valid
1.0ms	1×	body	320	valid

simplify25.0ms

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

prune9.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 6.5b

Counts

2 → 1

localize42.0ms

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)
1.2b	(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)))

rewrite82.0ms

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:

12.0ms	(- 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)
40.0ms	(/ (* (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)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
24.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
24.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
199.0ms	(/ (* (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)))

simplify127.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (24.0ms)

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

prune282.0ms

Filtered

279 candidates to 79 candidates (71.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	277	2	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	2	280

Merged error: 0.7b

Counts

280 → 2

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

7.0ms	(* 0.5 (* s c_p))
7.0ms	(* 0.5 (* s c_n))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* 0.5 (* s c_p))
6.0ms	(* 0.5 (* s c_n))

simplify77.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

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

prune48.0ms

Filtered

42 candidates to 22 candidates (47.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.7b

Counts

44 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
26.6b	(cbrt (* 0.5 (* s c_n)))
26.6b	(cbrt (* 0.5 (* s c_n)))
26.6b	(cbrt (* 0.5 (* s c_n)))

rewrite17.0ms

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:

5.0ms	(* (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)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
16.0ms	(cbrt (* 0.5 (* s c_n)))
19.0ms	(cbrt (* 0.5 (* s c_n)))
17.0ms	(cbrt (* 0.5 (* s c_n)))

simplify109.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	206	465
1	729	414
2	3912	363
3	5001	358

prune141.0ms

Filtered

70 candidates to 52 candidates (25.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.7b

Counts

73 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3) (cbrt (* 0.5 (* s c_n))))
26.6b	(cbrt (* 0.5 (* s c_n)))
26.6b	(cbrt (* 0.5 (* s c_n)))
46.0b	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`unpow-prod-down`
19×	`add-sqr-sqrt`
14×	`add-exp-log`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow-exp`
6×	`sqr-pow`
5×	`cbrt-prod` `prod-exp` `add-cbrt-cube` `unswap-sqr`
4×	`pow1` `pow-to-exp` `associate-r` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`unpow1/3` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `*-commutative`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3) (cbrt (* 0.5 (* s c_n))))
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series93.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3) (cbrt (* 0.5 (* s c_n))))
17.0ms	(cbrt (* 0.5 (* s c_n)))
17.0ms	(cbrt (* 0.5 (* s c_n)))
51.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	304	785
1	1180	725
2	5002	591

prune173.0ms

Filtered

92 candidates to 66 candidates (28.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Merged error: 0.7b

Counts

95 → 4

regimes515.0ms

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	44
1	62	44

end0.0ms

sample10.2s

Algorithm

intervals

Results

6.7s	951×	body	5120	exit
2.3s	12630×	body	80	overflowed
313.0ms	14619×	pre	80	true
123.0ms	988×	body	80	valid
17.0ms	7×	body	1280	valid
15.0ms	5×	body	2560	valid
12.0ms	2×	body	5120	valid
9.0ms	8×	body	640	valid
5.0ms	14×	body	160	valid
4.0ms	7×	body	320	valid
3.0ms	3×	body	320	overflowed
1.0ms	3×	body	160	overflowed
1.0ms	1×	body	640	overflowed

Details

sample2.1s

simplify25.0ms

prune9.0ms

localize42.0ms

rewrite82.0ms

series260.0ms

simplify127.0ms

prune282.0ms

localize14.0ms

rewrite17.0ms

series11.0ms

simplify77.0ms

prune48.0ms

localize13.0ms

rewrite17.0ms

series79.0ms

simplify109.0ms

prune141.0ms

localize19.0ms

rewrite23.0ms

series93.0ms

simplify44.0ms

prune173.0ms

regimes515.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample10.2s

Profiling