Details

sample51.0ms

Algorithm

intervals

Results

20.0ms

285×

body

valid

simplify932.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	57	11
4	100	11
5	131	11
6	158	11
7	181	11
8	223	11
9	280	11
10	312	11
11	356	11
12	391	11
13	403	11
done	403	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.3b	(/ (* y (- z t)) (- a t))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

35.0ms	(* y (- z t))
35.0ms	(/ (* y (- z t)) (- a t))

series199.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* y (- z t))
125.0ms	(/ (* y (- z t)) (- a t))

simplify2.6s

Counts

61 → 61

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	105	599
1	264	575
2	863	501
3	3948	501
done	5000	501

prune190.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

34.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (- z t) (- a t))
95.0ms	(* y (/ (- z t) (- a t)))

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	138	1319
1	345	1247
2	950	1165
3	2812	1165
done	5001	1165

prune382.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.3b	(/ y (/ (- a t) (- z t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

44.0ms	(/ (- a t) (- z t))
29.0ms	(/ y (/ (- a t) (- z t)))

series312.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (- a t) (- z t))
222.0ms	(/ y (/ (- a t) (- z t)))

simplify1.4s

Counts

200 → 200

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	270	3488
1	616	3268
2	2226	3166
done	5001	3160

prune734.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
4.1b	(- (* a a) (* t t))
12.7b	(* (/ (* y (- z t)) (- (* a a) (* t t))) (+ a t))
18.7b	(/ (* y (- z t)) (- (* a a) (* t t)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

21.0ms	(* y (- z t))
9.0ms	(- (* a a) (* t t))
114.0ms	(* (/ (* y (- z t)) (- (* a a) (* t t))) (+ a t))
52.0ms	(/ (* y (- z t)) (- (* a a) (* t t)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (- z t))
58.0ms	(- (* a a) (* t t))
173.0ms	(* (/ (* y (- z t)) (- (* a a) (* t t))) (+ a t))
142.0ms	(/ (* y (- z t)) (- (* a a) (* t t)))

simplify1.6s

Counts

115 → 115

Iterations

Useful iterations: 2 (425.0ms)

Iter	Nodes	Cost
0	169	1757
1	540	1704
2	2292	1434
done	5000	1434

prune435.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes254.0ms

Accuracy

67.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	57
1	27	57
done	27	57

end0.0ms

sample1.3s

Algorithm

intervals

Results

620.0ms	8721×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid