Details

sample116.0ms

Algorithm

intervals

Results

20.0ms	462×	body	80	valid
10.0ms	462×	pre	80	true

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	65	11
4	165	11
5	315	11
6	389	11
7	422	11
8	510	11
9	709	11
10	1021	11
11	1550	11
12	3427	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 71

Calls

3 calls:

23.0ms	(* m (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)
128.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series220.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify4.1s

Counts

80 → 80

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	126	882
1	307	845
2	969	747
3	4338	735
done	5001	723

prune199.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 163

Calls

3 calls:

13.0ms	(/ v (- 1.0 m))
33.0ms	(/ m (/ v (- 1.0 m)))
402.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series190.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ v (- 1.0 m))
75.0ms	(/ m (/ v (- 1.0 m)))
60.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify1.7s

Counts

172 → 172

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	271	2534
1	590	2377
2	2061	2267
done	5000	2250

prune534.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

3 → 96

Calls

3 calls:

18.0ms	(/ (- 1.0 m) v)
73.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
58.0ms	(* m (/ (- 1.0 m) v))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- 1.0 m) v)
51.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
45.0ms	(* m (/ (- 1.0 m) v))

simplify3.2s

Counts

105 → 105

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	149	1202
1	361	1137
2	1038	1033
3	3514	1021
done	5001	1021

prune299.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
105×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
73×	`add-cube-cbrt`
65×	`cbrt-prod`
62×	`associate-r`
61×	`sqrt-prod`
52×	`add-exp-log`
39×	`add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
14×	`cbrt-div`
13×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`pow1`
10×	`associate-/l/`
9×	`associate-/l*`
7×	`flip3--` `flip--`
6×	`associate-*r/`
5×	`frac-times`
4×	`associate-l` `pow-prod-down` `div-inv` `add-log-exp`
3×	`associate-*l/` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`

Counts

4 → 225

Calls

4 calls:

65.0ms	(* m (/ (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m))) (sqrt v)))
26.0ms	(/ (cbrt (- 1.0 m)) (sqrt v))
37.0ms	(/ (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m))) (sqrt v))
228.0ms	(* (* m (/ (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m))) (sqrt v))) (/ (cbrt (- 1.0 m)) (sqrt v)))

series932.0ms

Counts

4 → 12

Calls

4 calls:

363.0ms	(* m (/ (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m))) (sqrt v)))
235.0ms	(/ (cbrt (- 1.0 m)) (sqrt v))
256.0ms	(/ (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m))) (sqrt v))
78.0ms	(* (* m (/ (* (cbrt (- 1.0 m)) (cbrt (- 1.0 m))) (sqrt v))) (/ (cbrt (- 1.0 m)) (sqrt v)))

simplify2.7s

Counts

237 → 237

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	353	4913
1	953	4526
2	3588	3887
done	5000	3776

prune904.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
done	9	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	13729×	body	80	valid
289.0ms	13729×	pre	80	true