Details

sample147.0ms

Algorithm

intervals

Results

63.0ms	723×	body	80	nan
21.0ms	256×	body	80	valid

simplify653.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (/ x (* y 27.0)))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.3b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
39×	`prod-exp` `cbrt-unprod`
29×	`add-sqr-sqrt`
27×	`cbrt-undiv` `div-exp`
21×	`associate-l`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
15×	`times-frac`
10×	`pow1`
5×	`unswap-sqr`
4×	`sqrt-prod` `div-inv` `add-log-exp`
3×	`pow-prod-down` `*-commutative`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

4 → 130

Calls

4 calls:

28.0ms	(* 3.0 (/ x (* y 27.0)))
15.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
79.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 3.0 (/ x (* y 27.0)))
22.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
125.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts: 142 → 142

prune498.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b	(/ 1.0 (cbrt 3.0))
3.3b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
83×	`add-cbrt-cube`
48×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
35×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
26×	`cbrt-undiv` `div-exp`
22×	`cbrt-prod`
9×	`associate-r`
8×	`pow1`
7×	`associate-/r*`
5×	`unswap-sqr`
4×	`sqrt-prod` `div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

35.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms	(/ 1.0 (cbrt 3.0))
83.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series308.0ms

Counts

4 → 10

Calls

4 calls:

124.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms	(/ 1.0 (cbrt 3.0))
135.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
49.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.5s

Counts: 162 → 162

prune764.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (/ x (* y 27.0)))
1.0b	(/ (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))) 3.0)
3.3b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-exp-log` `add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`times-frac`
13×	`associate-r`
8×	`pow1` `associate-l`
4×	`associate-/r` `sqrt-prod` `div-inv` `associate-/l` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`
1×	`acos-asin` `div-sub` `associate-*l/` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

22.0ms	(* 3.0 (/ x (* y 27.0)))
12.0ms	(/ (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))) 3.0)
99.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 3.0 (/ x (* y 27.0)))
18.0ms	(/ (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))) 3.0)
115.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.3s

Counts: 138 → 138

prune363.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes304.0ms

Accuracy

-37.7% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify885.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.4s	23390×	body	80	nan
1.5s	8000×	body	80	valid