Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

274×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	15	15
done	15	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.2b	(+ (* a c) (* b d))
24.6b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 53

Calls

3 calls:

9.0ms	(+ (* c c) (* d d))
11.0ms	(+ (* a c) (* b d))
65.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series568.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* c c) (* d d))
48.0ms	(+ (* a c) (* b d))
461.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify950.0ms

Counts

62 → 62

Iterations

Useful iterations: done (947.0ms)

Iter	Nodes	Cost
0	98	1090
1	297	1067
2	1661	953
done	5001	951

prune254.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 24.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* a c) (* b d))
15.2b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.2b	(sqrt (+ (* c c) (* d d)))
30.2b	(sqrt (+ (* c c) (* d d)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 84

Calls

4 calls:

9.0ms	(+ (* a c) (* b d))
41.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
9.0ms	(sqrt (+ (* c c) (* d d)))
20.0ms	(sqrt (+ (* c c) (* d d)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* a c) (* b d))
176.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
42.0ms	(sqrt (+ (* c c) (* d d)))
59.0ms	(sqrt (+ (* c c) (* d d)))

simplify870.0ms

Counts

96 → 96

Iterations

Useful iterations: done (865.0ms)

Iter	Nodes	Cost
0	116	1780
1	280	1649
2	1127	1543
done	5001	1541

prune544.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 23.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.2b	(+ (* a c) (* b d))
0.5b	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
24.3b	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 137

Calls

4 calls:

17.0ms	(+ (* c c) (* d d))
17.0ms	(+ (* a c) (* b d))
52.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
47.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* c c) (* d d))
48.0ms	(+ (* a c) (* b d))
203.0ms	(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
90.0ms	(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify2.3s

Counts

149 → 149

Iterations

Useful iterations: 2 (693.0ms)

Iter	Nodes	Cost
0	206	3676
1	591	3422
2	3899	3214
done	5002	3214

prune428.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 23.0b

localize41.0ms

Local error

Found 4 expressions with local error:

15.8b	(cbrt (+ (* a c) (* b d)))
31.1b	(cbrt (+ (* c c) (* d d)))
31.1b	(cbrt (+ (* c c) (* d d)))
31.1b	(cbrt (+ (* c c) (* d d)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

8.0ms	(cbrt (+ (* a c) (* b d)))
6.0ms	(cbrt (+ (* c c) (* d d)))
5.0ms	(cbrt (+ (* c c) (* d d)))
11.0ms	(cbrt (+ (* c c) (* d d)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (+ (* a c) (* b d)))
163.0ms	(cbrt (+ (* c c) (* d d)))
131.0ms	(cbrt (+ (* c c) (* d d)))
127.0ms	(cbrt (+ (* c c) (* d d)))

simplify702.0ms

Counts

64 → 64

Iterations

Useful iterations: done (699.0ms)

Iter	Nodes	Cost
0	108	952
1	292	925
2	983	810
done	5000	794

prune452.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 23.0b

regimes328.0ms

Accuracy

23.6% (2.3b remaining)

Error of 25.1b against oracle of 22.8b and baseline of 25.8b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	22	53
done	22	53

end0.0ms

sample986.0ms

Algorithm

intervals

Results

585.0ms

8393×

body

valid