Details

sample275.0ms

Algorithm

intervals

Results

89.0ms	782×	body	80	nan
24.0ms	194×	body	80	valid
17.0ms	24×	body	640	valid
12.0ms	8×	body	1280	valid
7.0ms	16×	body	320	valid
6.0ms	17×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4312
5	1312
4	339
3	117
2	49
1	26
0	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(* (log (- 1.0 y)) (- z 1.0))
0.1b	(* (- x 1.0) (log y))
6.2b	(log (- 1.0 y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`associate-r` `associate-l` `add-exp-log`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
6×	`associate--l+` `add-log-exp`
4×	`flip3--` `flip--`
3×	`sub-neg` `log-pow` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `rem-log-exp`

Counts

4 → 90

Calls

4 calls:

15.0ms	(- (* (- x 1.0) (log y)) t)
39.0ms	(* (log (- 1.0 y)) (- z 1.0))
38.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series282.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* (- x 1.0) (log y)) t)
66.0ms	(* (log (- 1.0 y)) (- z 1.0))
72.0ms	(* (- x 1.0) (log y))
71.0ms	(log (- 1.0 y))

simplify991.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1924
1	500
0	216

prune684.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y y) 1/2)
0.0b	(+ (- (* (- x 1.0) (log y)) t) (* (- (log 1.0) (+ (* y 1.0) (/ (* (* y y) 1/2) (pow 1.0 2)))) (- z 1.0)))
0.0b	(* (- (log 1.0) (+ (* y 1.0) (/ (* (* y y) 1/2) (pow 1.0 2)))) (- z 1.0))
0.1b	(* (- x 1.0) (log y))

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

27×	`flip3--` `flip--`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`frac-add`
15×	`pow1`
13×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
12×	`frac-times` `log-prod` `associate-r` `associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-log-exp`
8×	`associate-+l+` `associate-*l/`
6×	`associate--l+` `associate-*r/`
5×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-+r+` `distribute-lft-out--`
3×	`*-commutative` `difference-of-squares` `unswap-sqr`
2×	`sum-log` `log-pow`
1×	`+-commutative` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 124

Calls

4 calls:

21.0ms	(* (* y y) 1/2)
112.0ms	(+ (- (* (- x 1.0) (log y)) t) (* (- (log 1.0) (+ (* y 1.0) (/ (* (* y y) 1/2) (pow 1.0 2)))) (- z 1.0)))
230.0ms	(* (- (log 1.0) (+ (* y 1.0) (/ (* (* y y) 1/2) (pow 1.0 2)))) (- z 1.0))
22.0ms	(* (- x 1.0) (log y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* y y) 1/2)
351.0ms	(+ (- (* (- x 1.0) (log y)) t) (* (- (log 1.0) (+ (* y 1.0) (/ (* (* y y) 1/2) (pow 1.0 2)))) (- z 1.0)))
86.0ms	(* (- (log 1.0) (+ (* y 1.0) (/ (* (* y y) 1/2) (pow 1.0 2)))) (- z 1.0))
78.0ms	(* (- x 1.0) (log y))

simplify450.0ms

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
1	944
0	320

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
6×	`cbrt-prod` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
5×	`flip3--` `associate-r` `flip--`
4×	`associate-+l+` `associate-+r+` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `distribute-rgt-out` `associate-l` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

32.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
25.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
368.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
223.0ms	(cbrt y)
304.0ms	(cbrt y)

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	2413
1	478
0	154

prune913.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (- x 1.0))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow (/ 1 y) -1/3)) (- x 1.0)))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cube-cbrt`
13×	`unpow-prod-down`
11×	`pow1`
10×	`associate-*r/`
9×	`times-frac` `add-cbrt-cube`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
5×	`flip3--` `associate-r` `flip--`
4×	`associate-+l+` `associate-+r+` `frac-add` `pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`pow-to-exp` `+-commutative` `rec-exp` `sum-log` `flip3-+` `distribute-rgt-out` `pow1/3` `1-exp` `associate-l` `*-commutative` `flip-+` `div-inv` `pow-flip` `distribute-lft-out--` `inv-pow` `difference-of-squares` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

27.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
41.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow (/ 1 y) -1/3)) (- x 1.0)))
1.0ms	(cbrt y)
6.0ms	(pow (/ 1 y) -1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (* 2 (log (cbrt y))) (- x 1.0))
783.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (log (pow (/ 1 y) -1/3)) (- x 1.0)))
302.0ms	(cbrt y)
253.0ms	(pow (/ 1 y) -1/3)

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	3146
1	731
0	237

prune840.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes669.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	42
1	42
0	31

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.9s	24066×	body	80	nan
1.0s	5886×	body	80	valid
940.0ms	768×	body	640	valid
306.0ms	706×	body	320	valid
235.0ms	243×	body	1280	valid
87.0ms	434×	body	160	valid