Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

338×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	9
3	48	9
4	72	9
5	94	9
6	113	9
7	135	9
8	181	9
9	247	9
10	330	9
11	360	9
12	413	9
13	452	9
14	468	9
15	504	9
16	592	9
17	819	9
18	1096	9
19	1646	9
20	2135	9
21	2198	9
done	2198	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.4b	(* (/ x y) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
15.0ms	(* (/ x y) (- z t))

series88.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ x y) (- z t)) t)
54.0ms	(* (/ x y) (- z t))

simplify1.7s

Counts

63 → 63

Iterations

Useful iterations: 3 (724.0ms)

Iter	Nodes	Cost
0	120	727
1	313	701
2	1007	625
3	3813	619
done	5000	619

prune141.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.8b	(* (/ x (cbrt y)) (- z t))
4.4b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(* (/ x (cbrt y)) (- z t))
46.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series631.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
181.0ms	(cbrt y)
189.0ms	(* (/ x (cbrt y)) (- z t))
86.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify834.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (301.0ms)

Iter	Nodes	Cost
0	227	2370
1	680	2126
2	2533	1564
done	5000	1564

prune384.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(pow (cbrt y) 3)
1.8b	(* (/ x (cbrt y)) (- z t))
4.4b	(* (/ 1 (* (cbrt y) (cbrt (pow (cbrt y) 3)))) (* (/ x (cbrt y)) (- z t)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-exp-log`
46×	`prod-exp`
36×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
29×	`associate-l`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
23×	`times-frac`
20×	`div-exp` `cbrt-unprod`
19×	`cbrt-prod`
12×	`pow1`
11×	`frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `unpow-prod-down` `rec-exp` `flip3--` `1-exp` `cube-prod` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-unpow` `unswap-sqr`
2×	`pow-pow` `pow1/3` `*-commutative` `div-inv`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 160

Calls

4 calls:

0.0ms	(cbrt y)
2.0ms	(pow (cbrt y) 3)
18.0ms	(* (/ x (cbrt y)) (- z t))
60.0ms	(* (/ 1 (* (cbrt y) (cbrt (pow (cbrt y) 3)))) (* (/ x (cbrt y)) (- z t)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt y)
224.0ms	(pow (cbrt y) 3)
190.0ms	(* (/ x (cbrt y)) (- z t))
86.0ms	(* (/ 1 (* (cbrt y) (cbrt (pow (cbrt y) 3)))) (* (/ x (cbrt y)) (- z t)))

simplify1.4s

Counts

172 → 172

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	258	2801
1	771	2142
2	3772	1422
done	5001	1410

prune404.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
5.9b	(* x (/ (- z t) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

6.0ms	(+ (* x (/ (- z t) y)) t)
10.0ms	(/ (- z t) y)
14.0ms	(* x (/ (- z t) y))

series120.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* x (/ (- z t) y)) t)
25.0ms	(/ (- z t) y)
47.0ms	(* x (/ (- z t) y))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	137	1051
1	343	986
2	917	920
3	3128	890
done	5000	889

prune178.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes259.0ms

Accuracy

29.8% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch92.0ms

Steps

Iters	Range		Point
9	9.12822136199212e-35	1.1754375702567523e-29	1.4700886765143342e-30
8	-2.8786922797562166e+103	-2.3387264269526487e+99	-2.396557602064052e+99

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	40
1	34	40
2	40	40
done	40	40

end0.0ms

sample539.0ms

Algorithm

intervals

Results

277.0ms

10733×

body

valid