Details

sample2.4s

Algorithm

intervals

Results

1.6s	227×	body	5120	exit
544.0ms	3161×	body	80	overflowed
85.0ms	3644×	pre	80	true
29.0ms	246×	body	80	valid
6.0ms	2×	body	1280	valid
4.0ms	2×	body	640	valid
2.0ms	1×	body	2560	valid
1.0ms	2×	body	320	valid
1.0ms	3×	body	160	valid

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

prune4.0ms

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: 7.3b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (neg s))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.9b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
4.7b	(/ (* (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)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

558×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
250×	`div-exp`
184×	`pow-to-exp`
51×	`*-un-lft-identity`
37×	`times-frac`
36×	`unpow-prod-down`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-cbrt-cube`
10×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `associate-/r/`
5×	`cbrt-undiv` `associate-/r*`
4×	`cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 285

Calls

4 calls:

5.0ms	(/ 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)
42.0ms	(/ (* (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)))

series802.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
629.0ms	(/ (* (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)))

simplify122.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	972	6045
1	3266	5797
2	5003	5797

prune479.0ms

Filtered

297 candidates to 91 candidates (30.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	294	3	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	295	3	298

Merged error: 2.3b

Counts

298 → 3

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (neg s))))
0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
3.2b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

173×	`add-exp-log`
88×	`prod-exp`
66×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
38×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`unpow-prod-down`
7×	`pow1` `distribute-lft-out`
6×	`associate-/r/`
5×	`cbrt-undiv` `associate-/r*` `cbrt-unprod`
4×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow-prod-down` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 159

Calls

4 calls:

6.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
5.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
35.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series1.2s

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (+ 1.0 (exp (neg s))))
104.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
86.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
955.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify114.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	910	2920
1	4167	2665
2	5002	2665

prune465.0ms

Filtered

171 candidates to 84 candidates (49.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	170	4	174

Merged error: 2.2b

Counts

174 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

4.0ms	(* 0.5 (* s c_n))
5.0ms	(* 0.5 (* s c_p))

series42.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 0.5 (* s c_n))
23.0ms	(* 0.5 (* s c_p))

simplify59.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

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

prune59.0ms

Filtered

42 candidates to 22 candidates (52.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	42	4	46

Merged error: 2.2b

Counts

46 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (* s c_p))
0.2b	(* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* s c_n)))
0.2b	(* (cbrt 0.5) (* s c_n))
1.0b	(* (cbrt 0.5) (cbrt 0.5))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
37×	`add-exp-log`
23×	`add-sqr-sqrt` `pow-prod-down` `add-cbrt-cube`
22×	`prod-exp` `cbrt-unprod`
19×	`cbrt-prod`
16×	`associate-l`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
6×	`pow1/3` `swap-sqr`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 107

Calls

4 calls:

4.0ms	(* 0.5 (* s c_p))
11.0ms	(* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* s c_n)))
5.0ms	(* (cbrt 0.5) (* s c_n))
5.0ms	(* (cbrt 0.5) (cbrt 0.5))

series133.0ms

Counts

4 → 10

Calls

4 calls:

19.0ms	(* 0.5 (* s c_p))
68.0ms	(* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* s c_n)))
45.0ms	(* (cbrt 0.5) (* s c_n))
0.0ms	(* (cbrt 0.5) (cbrt 0.5))

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	310	620
1	1432	480
2	5001	431

prune177.0ms

Filtered

117 candidates to 62 candidates (53.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	117	4	121

Merged error: 2.2b

Counts

121 → 4

regimes506.0ms

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	41
1	60	41

end0.0ms

sample15.2s

Algorithm

intervals

Results

10.2s	1520×	body	5120	exit
3.3s	19544×	body	80	overflowed
515.0ms	22778×	pre	80	true
177.0ms	1628×	body	80	valid
55.0ms	6×	body	5120	valid
41.0ms	18×	body	1280	valid
33.0ms	7×	body	2560	valid
15.0ms	15×	body	640	valid
9.0ms	29×	body	160	valid
5.0ms	8×	body	320	valid
2.0ms	1×	body	1280	overflowed
1.0ms	1×	body	640	overflowed
1.0ms	1×	body	160	overflowed

Details

sample2.4s

simplify27.0ms

prune4.0ms

localize21.0ms

rewrite80.0ms

series802.0ms

simplify122.0ms

prune479.0ms

localize32.0ms

rewrite61.0ms

series1.2s

simplify114.0ms

prune465.0ms

localize8.0ms

rewrite10.0ms

series42.0ms

simplify59.0ms

prune59.0ms

localize11.0ms

rewrite29.0ms

series133.0ms

simplify53.0ms

prune177.0ms

regimes506.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample15.2s

Profiling