Details

sample55.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify1.1s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
1.9b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.2b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite268.0ms

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:

23.0ms	(* (+ z 6.012459259764103) z)
56.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
85.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
100.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series463.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ z 6.012459259764103) z)
118.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
89.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
200.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.2s

Counts: 100 → 100

prune454.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

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)))
14.1b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite226.0ms

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)
105.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
65.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series343.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ z 6.012459259764103) z)
78.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
147.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
68.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify968.0ms

Counts: 118 → 118

prune471.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

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)))
14.2b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite470.0ms

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:

30.0ms	(* (+ z 6.012459259764103) z)
309.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
51.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
68.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series444.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ z 6.012459259764103) z)
99.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
163.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
100.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify1.3s

Counts: 162 → 162

prune623.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.40462203869992125 (/ 1 (pow z 2)))
0.3b	(* 0.07512208616047561 (/ 1 z))
0.3b	(/ 1 (pow z 2))
3.8b	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
67×	`times-frac`
52×	`*-un-lft-identity`
47×	`add-cube-cbrt`
44×	`add-exp-log` `associate-r`
23×	`unpow-prod-down`
18×	`add-cbrt-cube`
15×	`prod-exp`
14×	`div-exp`
13×	`unswap-sqr`
10×	`pow1` `associate-*r/`
9×	`associate-l` `unpow2` `sqr-pow`
8×	`associate-/r*`
7×	`rec-exp` `1-exp`
6×	`pow-to-exp` `pow-exp`
5×	`cbrt-unprod`
4×	`un-div-inv` `frac-sub` `add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l`
2×	`sub-neg` `flip3-+` `associate--l+` `flip-+`
1×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `flip--` `inv-pow`

Counts

4 → 186

Calls

4 calls:

42.0ms	(* 0.40462203869992125 (/ 1 (pow z 2)))
26.0ms	(* 0.07512208616047561 (/ 1 z))
14.0ms	(/ 1 (pow z 2))
254.0ms	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 0.40462203869992125 (/ 1 (pow z 2)))
18.0ms	(* 0.07512208616047561 (/ 1 z))
17.0ms	(/ 1 (pow z 2))
61.0ms	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

simplify1.2s

Counts: 198 → 198

prune551.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

97.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 16.1b

bsearch279.0ms

Steps

Iters	Range		Point
9	2.7839367567869983e-19	1.9021303761434836e-14	1.8798500859798715e-14
10	-4.4552626630825715e+47	-7.674808649243918e+30	-1.7232579880619938e+47

simplify927.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

843.0ms

8000×

body

valid