Details

sample96.0ms

Algorithm

intervals

Results

17.0ms	423×	body	80	valid
9.0ms	423×	pre	80	true

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	72	11
4	189	11
5	475	11
6	1650	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

26.0ms	(* m (- 1.0 m))
24.0ms	(/ (* m (- 1.0 m)) v)
129.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series215.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* m (- 1.0 m))
76.0ms	(/ (* m (- 1.0 m)) v)
77.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.5s

Counts

104 → 104

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	177	1426
1	454	1229
2	2259	1046
done	5000	1021

prune328.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.3b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 208

Calls

4 calls:

101.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
33.0ms	(/ (- 1.0 m) (sqrt v))
6.0ms	(/ m (sqrt v))
76.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
59.0ms	(/ (- 1.0 m) (sqrt v))
78.0ms	(/ m (sqrt v))
72.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify2.7s

Counts

220 → 220

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	296	3109
1	866	2879
2	4653	2714
done	5000	2711

prune787.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.3b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.5b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`add-exp-log` `prod-diff` `add-cbrt-cube`
17×	`associate-r`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 124

Calls

4 calls:

25.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
122.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
174.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series328.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* m (- 1.0 m))
58.0ms	(/ (* m (- 1.0 m)) v)
118.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
85.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify2.1s

Counts

136 → 136

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	222	2083
1	586	1764
2	2912	1516
done	5002	1470

prune565.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
0.4b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.4b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.4b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

218.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
27.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
43.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
18.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
302.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
364.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
294.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify917.0ms

Counts

121 → 121

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	152	3128
1	343	2936
2	1122	2770
done	5001	2472

prune510.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15
done	12	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

758.0ms	13598×	body	80	valid
387.0ms	13598×	pre	80	true