Details

sample202.0ms

Algorithm

intervals

Results

68.0ms	1448×	body	80	nan
30.0ms	489×	body	80	valid

simplify49.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8
done	5002	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

22.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
70.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
169.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series392.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify53.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	493	869
1	2033	715
2	5001	683
done	5001	683

prune346.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
5.4b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

3085×	`times-frac`
1251×	`add-sqr-sqrt`
1247×	`add-cube-cbrt` `*-un-lft-identity`
728×	`unpow-prod-down`
238×	`exp-sum`
148×	`div-inv`
72×	`associate-/l*`
56×	`sqr-pow`
52×	`log-prod`
43×	`add-exp-log`
37×	`div-exp`
26×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
20×	`add-cbrt-cube`
13×	`associate-/r*`
12×	`pow1`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`cbrt-undiv` `pow-exp`
6×	`log-pow`
3×	`sum-log`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `log-rec` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`
1×	`+-commutative` `distribute-lft-neg-out` `associate-+r+` `frac-2neg` `flip3-+` `clear-num` `associate-/r/` `distribute-rgt-neg-out` `flip-+` `associate-/l/`

Counts

4 → 1160

Calls

4 calls:

30.0ms	(+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))
10.0ms	(* (log (/ 1 a)) t)
14.0ms	(* y (log (/ 1 z)))
175.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series716.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))
59.0ms	(* (log (/ 1 a)) t)
44.0ms	(* y (log (/ 1 z)))
532.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify263.0ms

Counts

1172 → 1172

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5001	32805
done	5001	32805

prune5.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
0.3b	(* y (log (/ 1 z)))
0.7b	(* (/ (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y) (* (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) x))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

2652×	`times-frac`
1284×	`sqrt-prod`
1170×	`add-sqr-sqrt`
1164×	`add-cube-cbrt` `*-un-lft-identity`
952×	`associate-l`
840×	`unpow-prod-down`
190×	`add-exp-log`
132×	`exp-sum`
90×	`div-exp`
69×	`prod-exp`
52×	`log-prod`
46×	`add-cbrt-cube`
29×	`div-inv`
26×	`distribute-rgt-in` `distribute-lft-in`
24×	`pow-exp`
21×	`pow1` `sqr-pow`
18×	`cbrt-unprod`
16×	`associate-r`
12×	`cbrt-undiv` `pow-to-exp`
9×	`log-pow`
6×	`pow-prod-down`
4×	`*-commutative` `add-log-exp`
3×	`pow-flip` `log-rec` `associate-*l/` `inv-pow` `unswap-sqr`
2×	`distribute-rgt-neg-out`
1×	`distribute-lft-neg-out` `frac-times` `associate-*r/`

Counts

4 → 1117

Calls

4 calls:

10.0ms	(* (log (/ 1 a)) t)
15.0ms	(* y (log (/ 1 z)))
18.0ms	(* y (log (/ 1 z)))
1.5s	(* (/ (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y) (* (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (log (/ 1 a)) t)
38.0ms	(* y (log (/ 1 z)))
42.0ms	(* y (log (/ 1 z)))
919.0ms	(* (/ (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y) (* (/ (pow (/ (sqrt 1) (sqrt a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) x))

simplify310.0ms

Counts

1129 → 1129

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	3486	36174
1	5001	35625
done	5001	35625

prune6.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series715.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
179.0ms	(cbrt a)
179.0ms	(cbrt a)
180.0ms	(cbrt a)

simplify57.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136
done	5001	136

prune544.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes496.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	74
1	52	74
done	52	74

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.2s	46401×	body	80	nan
868.0ms	15320×	body	80	valid