Details

sample37.0ms

Algorithm

intervals

Results

23.0ms

277×

body

valid

simplify927.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
13	1967
12	1369
11	756
10	502
9	395
8	317
7	231
6	150
5	116
4	85
3	55
2	33
1	17
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
11.5b	(/ (* (- y z) t) (- a z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-cube-cbrt`
5×	`associate-/r` `times-frac` `associate-l*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

20.0ms	(* (- y z) t)
26.0ms	(/ (* (- y z) t) (- a z))

series120.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (- y z) t)
75.0ms	(/ (* (- y z) t) (- a z))

simplify506.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	2003
2	907
1	266
0	103

prune264.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
4.5b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 126

Calls

4 calls:

6.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
87.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series763.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (- a z))
217.0ms	(cbrt (- a z))
199.0ms	(cbrt (- a z))
145.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify643.0ms

Counts

138 → 138

Iterations

Iter	Nodes
done	2000
1	608
0	213

prune835.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (* (* (cbrt (- a z)) (cbrt (- a z))) (cbrt (- a z))))
4.5b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (* (* (cbrt (- a z)) (cbrt (- a z))) (cbrt (- a z))))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

176×	`cbrt-div`
62×	`flip3--` `flip--`
61×	`frac-times`
42×	`associate-r`
34×	`associate-/r/`
32×	`add-sqr-sqrt`
31×	`associate-*l/`
25×	`add-exp-log`
22×	`*-un-lft-identity`
21×	`times-frac`
19×	`associate-*r/`
18×	`add-cbrt-cube`
17×	`associate-l`
16×	`add-cube-cbrt`
14×	`cbrt-prod`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
2×	`div-inv`
1×	`pow3` `pow-prod-down` `*-commutative` `rem-cbrt-cube`

Counts

4 → 157

Calls

4 calls:

4.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
38.0ms	(cbrt (* (* (cbrt (- a z)) (cbrt (- a z))) (cbrt (- a z))))
130.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (* (* (cbrt (- a z)) (cbrt (- a z))) (cbrt (- a z))))))

series758.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (- a z))
173.0ms	(cbrt (- a z))
234.0ms	(cbrt (* (* (cbrt (- a z)) (cbrt (- a z))) (cbrt (- a z))))
141.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (* (* (cbrt (- a z)) (cbrt (- a z))) (cbrt (- a z))))))

simplify700.0ms

Counts

169 → 169

Iterations

Iter	Nodes
done	2001
1	797
0	333

prune968.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) t)
12.3b	(/ (- y z) (/ (- a z) t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `clear-num` `frac-2neg` `flip3--` `div-sub` `insert-posit16` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 177

Calls

2 calls:

11.0ms	(/ (- a z) t)
18.0ms	(/ (- y z) (/ (- a z) t))

series176.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (- a z) t)
135.0ms	(/ (- y z) (/ (- a z) t))

simplify482.0ms

Counts

183 → 183

Iterations

Iter	Nodes
done	2000
1	780
0	249

prune728.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes307.0ms

Accuracy

43.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch83.0ms

Steps

Iters	Range		Point
6	1.2262940986844539e-192	5.837595160421068e-192	3.399610075108991e-192
9	-4.180551385822045e+60	-3.7436166135413346e+55	-3.7837824042503885e+55

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	8708×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid