Details

sample193.0ms

Algorithm

intervals

Results

68.0ms	1413×	body	80	nan
26.0ms	463×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	179	16
4	487	16
5	1671	16
done	5001	16

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite283.0ms

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:

23.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series425.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
131.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
193.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify846.0ms

Counts

107 → 107

Iterations

Useful iterations: done (843.0ms)

Iter	Nodes	Cost
0	231	1531
1	493	1495
2	1466	1209
done	5000	1155

prune374.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))) b))
1.3b	(/ (* x (exp (- (+ (* y (log z)) (/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))) b))) y)
12.7b	(/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

8.0ms	(* y (log z))
305.0ms	(exp (- (+ (* y (log z)) (/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))) b))
752.0ms	(/ (* x (exp (- (+ (* y (log z)) (/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))) b))) y)
29.0ms	(/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))

series592.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* y (log z))
180.0ms	(exp (- (+ (* y (log z)) (/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))) b))
278.0ms	(/ (* x (exp (- (+ (* y (log z)) (/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))) b))) y)
92.0ms	(/ (* (- (* t t) (* 1.0 1.0)) (log a)) (+ t 1.0))

simplify902.0ms

Counts

105 → 105

Iterations

Useful iterations: done (899.0ms)

Iter	Nodes	Cost
0	255	2186
1	626	2138
2	2082	1786
done	5000	1416

prune413.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* x (* (* (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y)))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))))) y)
1.8b	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
1.8b	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
1.8b	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
24×	`exp-prod`
18×	`add-exp-log` `*-un-lft-identity` `times-frac`
17×	`associate-*l/`
15×	`exp-diff`
14×	`add-cbrt-cube`
13×	`add-log-exp`
12×	`cbrt-div` `difference-of-squares`
10×	`associate-*r/`
9×	`add-cube-cbrt`
7×	`associate-/l/`
6×	`exp-sum` `prod-exp` `cbrt-unprod` `rem-exp-log`
5×	`frac-times`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`sub-neg` `diff-log` `associate-/r*` `distribute-lft-out--`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 92

Calls

4 calls:

1.0s	(/ (* x (* (* (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y)))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))))) y)
239.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
239.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
242.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))

series524.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(/ (* x (* (* (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y)))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))))) y)
79.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
84.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
85.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))

simplify963.0ms

Counts

104 → 104

Iterations

Useful iterations: done (959.0ms)

Iter	Nodes	Cost
0	176	2924
1	436	2819
2	1515	1451
done	5001	1210

prune538.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* x (* (* (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))) (cbrt (* (pow E (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y)))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))))) y)
1.8b	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
1.8b	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
1.9b	(pow E (- (/ (log a) (/ 1 (- t 1.0))) b))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
19×	`add-exp-log` `*-un-lft-identity`
18×	`times-frac`
17×	`associate-*l/`
16×	`exp-prod`
14×	`add-cbrt-cube`
12×	`cbrt-div` `difference-of-squares`
10×	`add-cube-cbrt` `exp-diff` `associate-*r/` `add-log-exp`
8×	`pow-unpow`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `frac-times` `pow-sub`
4×	`cbrt-undiv` `div-exp` `exp-sum` `rem-exp-log`
3×	`sub-neg` `unpow-prod-down` `associate-/r*` `distribute-lft-out--`
2×	`unpow-prod-up` `diff-log` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `frac-2neg` `clear-num` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

1.0s	(/ (* x (* (* (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))) (cbrt (* (pow E (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y)))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))))) y)
239.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
239.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
79.0ms	(pow E (- (/ (log a) (/ 1 (- t 1.0))) b))

series613.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(/ (* x (* (* (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))) (cbrt (* (pow E (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y)))) (cbrt (* (exp (- (/ (log a) (/ 1 (- t 1.0))) b)) (pow z y))))) y)
84.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
79.0ms	(exp (- (/ (log a) (/ 1 (- t 1.0))) b))
99.0ms	(pow E (- (/ (log a) (/ 1 (- t 1.0))) b))

simplify1.0s

Counts

110 → 110

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	217	3142
1	538	3064
2	1728	2248
done	5000	1458

prune576.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes545.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	21	18
done	21	18

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.1s	45755×	body	80	nan
870.0ms	15291×	body	80	valid