Details

sample65.0ms

Algorithm

intervals

Results

34.0ms

256×

body

valid

simplify940.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
1.9b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.6b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

11.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
27.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
66.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
74.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series382.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
88.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
85.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
168.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.3s

Counts: 90 → 90

prune379.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.2b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.9b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 96

Calls

4 calls:

8.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
35.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
122.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
102.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series421.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
98.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
151.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
116.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.1s

Counts: 108 → 108

prune492.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* 0.0692910599291889 (pow z 2))
0.2b	(* y (/ (+ (+ (* 0.4917317610505968 z) (* 0.0692910599291889 (pow z 2))) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.9b	(/ (+ (+ (* 0.4917317610505968 z) (* 0.0692910599291889 (pow z 2))) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
29×	`associate-r`
27×	`add-cube-cbrt`
25×	`times-frac`
18×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`associate-l`
8×	`pow1` `distribute-lft-out`
7×	`unswap-sqr`
6×	`prod-exp`
4×	`unpow-prod-down` `flip3-+` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l*` `add-log-exp`
3×	`associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `div-inv` `associate-/l/` `unpow2` `sqr-pow`
1×	`pow-to-exp` `frac-2neg` `associate-*r/` `pow-exp` `clear-num`

Counts

4 → 120

Calls

4 calls:

23.0ms	(* (+ z 6.012459259764103) z)
12.0ms	(* 0.0692910599291889 (pow z 2))
145.0ms	(* y (/ (+ (+ (* 0.4917317610505968 z) (* 0.0692910599291889 (pow z 2))) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
129.0ms	(/ (+ (+ (* 0.4917317610505968 z) (* 0.0692910599291889 (pow z 2))) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series343.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ z 6.012459259764103) z)
28.0ms	(* 0.0692910599291889 (pow z 2))
181.0ms	(* y (/ (+ (+ (* 0.4917317610505968 z) (* 0.0692910599291889 (pow z 2))) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
72.0ms	(/ (+ (+ (* 0.4917317610505968 z) (* 0.0692910599291889 (pow z 2))) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.2s

Counts: 132 → 132

prune541.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
14.3b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.3b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.3b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

280×	`times-frac`
175×	`add-sqr-sqrt`
150×	`associate-r`
149×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
20×	`sqrt-div`
16×	`associate-/r/`
15×	`add-exp-log` `add-cbrt-cube`
11×	`flip3-+` `flip-+`
8×	`pow1` `div-inv`
7×	`unswap-sqr`
6×	`associate-/r*`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-l` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 249

Calls

4 calls:

259.0ms	(* y (/ (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
17.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
27.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
72.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* y (/ (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
68.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
75.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
185.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify1.5s

Counts: 261 → 261

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes200.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 15.6b

bsearch265.0ms

Steps

Iters	Range		Point
9	24341.35050109186	2580392290222.972	603361.9838778221
9	-5.486919896945144e+157	-2.8610791310721143e+151	-1.3229302735936997e+154

simplify876.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

912.0ms

8000×

body

valid