Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify56.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.3b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.5b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

22.0ms	(* (+ z 6.012459259764103) z)
28.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
54.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
59.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series306.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (+ z 6.012459259764103) z)
70.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
57.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
130.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify68.0ms

Counts: 100 → 100

prune280.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

23.0ms	(* (+ z 6.012459259764103) z)
29.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
87.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
63.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series330.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ z 6.012459259764103) z)
70.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
137.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
77.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify66.0ms

Counts: 118 → 118

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
14.7b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
60×	`add-cube-cbrt`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
7×	`associate-l`
6×	`associate-r` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

23.0ms	(* (+ z 6.012459259764103) z)
29.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
50.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
62.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series311.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ z 6.012459259764103) z)
71.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
128.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
67.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify89.0ms

Counts: 162 → 162

prune500.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.40462203869992125 (/ y (pow z 2)))
0.2b	(* 0.07512208616047561 (/ y z))
4.7b	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
8.3b	(/ y (pow z 2))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt` `times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
41×	`associate-r`
24×	`add-exp-log`
22×	`unpow-prod-down`
16×	`add-cbrt-cube`
9×	`add-log-exp`
8×	`pow1` `associate-/r*` `unpow2` `sqr-pow`
7×	`div-exp` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`associate-*r/` `cbrt-unprod`
3×	`cbrt-undiv` `div-inv` `associate-/l*`
2×	`pow-to-exp` `diff-log` `pow-prod-down` `pow-exp` `*-commutative` `frac-sub`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `associate--l+` `clear-num` `sum-log` `flip--` `flip-+`

Counts

4 → 149

Calls

4 calls:

26.0ms	(* 0.40462203869992125 (/ y (pow z 2)))
15.0ms	(* 0.07512208616047561 (/ y z))
73.0ms	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
8.0ms	(/ y (pow z 2))

series136.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 0.40462203869992125 (/ y (pow z 2)))
21.0ms	(* 0.07512208616047561 (/ y z))
59.0ms	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
25.0ms	(/ y (pow z 2))

simplify76.0ms

Counts: 161 → 161

prune409.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.4b

bsearch162.0ms

Steps

Iters	Range		Point
8	0.5242272119756929	639.503948019383	629.303371294859
9	-9.466489429598327e+36	-2.8897456288171165e+31	-1.8560802591567945e+36

simplify1.0ms

end0.0ms

sample868.0ms

Algorithm

intervals

Results

596.0ms

8000×

body

valid