Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	9	6
2	11	6
done	11	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ g (* 2.0 a))
14.6b	(cbrt (/ g (* 2.0 a)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/l*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-div` `frac-2neg` `pow1/3` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

2 → 41

Calls

2 calls:

8.0ms	(/ g (* 2.0 a))
5.0ms	(cbrt (/ g (* 2.0 a)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ g (* 2.0 a))
131.0ms	(cbrt (/ g (* 2.0 a)))

simplify1.7s

Counts

47 → 47

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	93	410
1	177	404
2	505	360
3	2363	354
done	5001	345

prune174.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* 2.0 a))
0.3b	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b	(cbrt g)
0.6b	(cbrt (/ 1 (* 2.0 a)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
22×	`add-sqr-sqrt`
17×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
9×	`pow1` `times-frac` `add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `pow1/3` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `cbrt-div` `pow-flip` `1-exp` `cbrt-unprod`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `*-commutative` `inv-pow`

Counts

4 → 96

Calls

4 calls:

18.0ms	(/ 1 (* 2.0 a))
32.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms	(cbrt g)
11.0ms	(cbrt (/ 1 (* 2.0 a)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (* 2.0 a))
147.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
215.0ms	(cbrt g)
262.0ms	(cbrt (/ 1 (* 2.0 a)))

simplify777.0ms

Counts

108 → 108

Iterations

Useful iterations: done (773.0ms)

Iter	Nodes	Cost
0	149	930
1	299	856
2	1048	792
done	5000	777

prune322.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt g) (* (cbrt 0.5) (cbrt (/ 1 a))))
0.4b	(* (cbrt 0.5) (cbrt (/ 1 a)))
0.6b	(cbrt g)
0.7b	(cbrt (/ 1 a))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
42×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac`
17×	`associate-r`
12×	`associate-l`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `pow-prod-down`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `associate-*r/`
2×	`*-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

37.0ms	(* (cbrt g) (* (cbrt 0.5) (cbrt (/ 1 a))))
33.0ms	(* (cbrt 0.5) (cbrt (/ 1 a)))
1.0ms	(cbrt g)
11.0ms	(cbrt (/ 1 a))

series990.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt g) (* (cbrt 0.5) (cbrt (/ 1 a))))
301.0ms	(* (cbrt 0.5) (cbrt (/ 1 a)))
280.0ms	(cbrt g)
252.0ms	(cbrt (/ 1 a))

simplify936.0ms

Counts

119 → 119

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	170	1139
1	334	1043
2	1253	963
done	5000	950

prune458.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt g) (cbrt (* (/ 1 a) (pow (cbrt 0.5) 3))))
0.6b	(cbrt g)
0.6b	(cbrt (* (/ 1 a) (pow (cbrt 0.5) 3)))
1.0b	(pow (cbrt 0.5) 3)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `cube-prod` `associate-l`
5×	`pow1/3`
4×	`expm1-log1p-u` `associate-r` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-div` `pow-pow` `pow-prod-down` `associate-*l/` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `pow-exp` `prod-exp` `-commutative` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

33.0ms	(* (cbrt g) (cbrt (* (/ 1 a) (pow (cbrt 0.5) 3))))
2.0ms	(cbrt g)
18.0ms	(cbrt (* (/ 1 a) (pow (cbrt 0.5) 3)))
4.0ms	(pow (cbrt 0.5) 3)

series823.0ms

Counts

4 → 10

Calls

4 calls:

175.0ms	(* (cbrt g) (cbrt (* (/ 1 a) (pow (cbrt 0.5) 3))))
277.0ms	(cbrt g)
371.0ms	(cbrt (* (/ 1 a) (pow (cbrt 0.5) 3)))
0.0ms	(pow (cbrt 0.5) 3)

simplify858.0ms

Counts

94 → 94

Iterations

Useful iterations: done (853.0ms)

Iter	Nodes	Cost
0	132	920
1	312	663
2	1132	534
done	5001	521

prune270.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	16	12
done	16	12

end0.0ms

sample678.0ms

Algorithm

intervals

Results

391.0ms

8000×

body

valid