Details

sample42.0s

Algorithm

intervals

Results

41.7s	3279×	body	10240	exit
75.0ms	3535×	pre	80	true
23.0ms	2×	body	5120	valid
22.0ms	247×	body	80	valid
6.0ms	3×	body	1280	valid
2.0ms	1×	body	2560	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify24.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.9b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite81.0ms

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

series768.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
69.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
69.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
581.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify96.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	976	5948
1	3142	5704
2	5001	5704

prune465.0ms

Filtered

279 candidates to 79 candidates (28.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
0.0b	(* 0.5 (* s c_p))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 32

Calls

2 calls:

7.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
5.0ms	(* 0.5 (* s c_p))

series74.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
22.0ms	(* 0.5 (* s c_p))

simplify121.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	178	226
1	718	198
2	4073	189
3	5001	189

prune87.0ms

Filtered

38 candidates to 23 candidates (60.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))) (cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))))
0.3b	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
0.3b	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
0.3b	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

21.0ms	(* (cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))) (cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))))
7.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
7.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
7.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))

series1.8s

Counts

4 → 12

Calls

4 calls:

631.0ms	(* (cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))) (cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))))
387.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
386.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
381.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	304	1712
1	1104	1605
2	5001	1494

prune355.0ms

Filtered

99 candidates to 78 candidates (78.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
1.0b	(/ (* (cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n))))) (cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))) (* (cbrt (+ (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))) (cbrt (+ (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))))
1.9b	(cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))
1.9b	(cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
16×	`add-exp-log`
11×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

7.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
47.0ms	(/ (* (cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n))))) (cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))) (* (cbrt (+ (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))) (cbrt (+ (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))))
13.0ms	(cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))
17.0ms	(cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))

series13.7s

Counts

4 → 12

Calls

4 calls:

374.0ms	(cbrt (- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))
12.7s	(/ (* (cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n))))) (cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))) (* (cbrt (+ (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))) (cbrt (+ (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n))))))
315.0ms	(cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))
315.0ms	(cbrt (- (* (+ (* 0.5 (* s c_p)) 1) (+ (* 0.5 (* s c_p)) 1)) (* (* 0.5 (* s c_n)) (* 0.5 (* s c_n)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	504	3051
1	1877	2535
2	5001	2508

prune398.0ms

Filtered

90 candidates to 76 candidates (84.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

regimes614.0ms

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	127
1	77	127

end0.0ms

sample1.5m

Algorithm

intervals

Results

1.5m	7363×	body	10240	exit
157.0ms	7923×	pre	80	true
48.0ms	539×	body	80	valid
30.0ms	3×	body	5120	valid
9.0ms	5×	body	1280	valid
2.0ms	1×	body	2560	valid
2.0ms	7×	body	160	valid
2.0ms	2×	body	640	valid
1.0ms	3×	body	320	valid