Details

sample41.4s

Algorithm

intervals

Results

41.2s	3376×	body	10240	exit
82.0ms	3632×	pre	80	true
22.0ms	251×	body	80	valid
3.0ms	1×	body	2560	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify835.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	728	43
done	5000	43

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.0b	(/ (* (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)))

rewrite154.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 293

Calls

4 calls:

9.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
11.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
11.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
101.0ms	(/ (* (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)))

series758.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
66.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
592.0ms	(/ (* (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)))

simplify917.0ms

Counts

305 → 305

Iterations

Useful iterations: 2 (409.0ms)

Iter	Nodes	Cost
0	360	11071
1	989	10259
2	2632	9913
done	5001	9913

prune559.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* 0.5 (* s c_n))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* 0.5 (* s c_n))

simplify4.7s

Counts

23 → 23

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	37	166
1	88	163
2	288	133
3	904	133
4	1747	133
5	3536	133
done	5001	133

prune54.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
26.4b	(cbrt (* 0.5 (* s c_n)))
26.4b	(cbrt (* 0.5 (* s c_n)))
26.4b	(cbrt (* 0.5 (* s c_n)))

rewrite22.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

8.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
5.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
90.0ms	(cbrt (* 0.5 (* s c_n)))
90.0ms	(cbrt (* 0.5 (* s c_n)))
90.0ms	(cbrt (* 0.5 (* s c_n)))

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	90	926
1	211	836
2	529	740
3	1485	656
4	4037	606
done	5001	606

prune255.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (cbrt (* 0.5 (* s c_n))) 2) (cbrt (* 0.5 (* s c_n))))
0.5b	(pow (cbrt (* 0.5 (* s c_n))) 2)
26.4b	(cbrt (* 0.5 (* s c_n)))
26.4b	(cbrt (* 0.5 (* s c_n)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log`
9×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-l*`
6×	`pow1`
5×	`cbrt-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `unpow2` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow1/3` `prod-exp` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow-exp`
1×	`pow-plus` `pow3` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

11.0ms	(* (pow (cbrt (* 0.5 (* s c_n))) 2) (cbrt (* 0.5 (* s c_n))))
2.0ms	(pow (cbrt (* 0.5 (* s c_n))) 2)
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (pow (cbrt (* 0.5 (* s c_n))) 2) (cbrt (* 0.5 (* s c_n))))
116.0ms	(pow (cbrt (* 0.5 (* s c_n))) 2)
91.0ms	(cbrt (* 0.5 (* s c_n)))
91.0ms	(cbrt (* 0.5 (* s c_n)))

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	105	1187
1	243	933
2	722	787
3	2661	770
done	5001	765

prune250.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

regimes453.0ms

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	73
1	52	73
done	52	73

end0.0ms

sample2.3m

Algorithm

intervals

Results

2.3m	11276×	body	10240	exit
238.0ms	12097×	pre	80	true
68.0ms	799×	body	80	valid
6.0ms	1×	body	5120	valid
5.0ms	2×	body	2560	valid
5.0ms	5×	body	640	valid
3.0ms	1×	body	1280	valid
2.0ms	6×	body	320	valid
1.0ms	7×	body	160	valid