Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

284×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	105	11
5	167	11
6	225	11
7	308	11
8	480	11
9	864	11
10	2524	11
done	5001	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
12.4b	(/ (* y (- z t)) (- z a))

rewrite67.0ms

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:

26.0ms	(* y (- z t))
39.0ms	(/ (* y (- z t)) (- z a))

series138.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* y (- z t))
89.0ms	(/ (* y (- z t)) (- z a))

simplify823.0ms

Counts

61 → 61

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	105	599
1	283	575
2	1117	509
done	5000	501

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.2b	(* y (/ (- z t) (- z a)))

rewrite124.0ms

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) (- z a))
81.0ms	(* y (/ (- z t) (- z a)))

series174.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- z t) (- z a))
118.0ms	(* y (/ (- z t) (- z a)))

simplify936.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	138	1319
1	376	1259
2	1519	1169
done	5001	1169

prune417.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
1.5b	(* (cbrt y) (/ (- z t) (- z a)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
138.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
100.0ms	(* (cbrt y) (/ (- z t) (- z a)))

series967.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt y)
290.0ms	(cbrt y)
147.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
285.0ms	(* (cbrt y) (/ (- z t) (- z a)))

simplify2.6s

Counts

116 → 116

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	149	1484
1	417	1428
2	2657	1110
done	5001	1011

prune379.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z t))
0.1b	(/ (sqrt (- z t)) (- z a))
0.1b	(* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a)))
1.0b	(* y (* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a))))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
84×	`times-frac`
70×	`sqrt-prod`
48×	`add-cube-cbrt`
47×	`associate-r`
30×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `sqrt-div`
11×	`associate-l`
8×	`flip3--` `flip--` `associate-/l*`
7×	`associate-*r/` `prod-exp` `cbrt-unprod`
6×	`unswap-sqr`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 189

Calls

4 calls:

8.0ms	(sqrt (- z t))
24.0ms	(/ (sqrt (- z t)) (- z a))
88.0ms	(* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a)))
105.0ms	(* y (* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a))))

series462.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (- z t))
216.0ms	(/ (sqrt (- z t)) (- z a))
68.0ms	(* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a)))
87.0ms	(* y (* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a))))

simplify5.8s

Counts

201 → 201

Iterations

Useful iterations: done (5.8s)

Iter	Nodes	Cost
0	223	3169
1	547	2920
2	4343	2470
done	5001	2468

prune612.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes236.0ms

Accuracy

74.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	57
1	26	47
done	26	47

end0.0ms

sample1.5s

Algorithm

intervals

Results

555.0ms

8731×

body

valid