Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

262×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	17
1	10
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize19.0ms

Local error

Found 1 expressions with local error:

2.0b	(/ x (- y (* z t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/r/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

15.0ms

(/ x (- y (* z t)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ x (- y (* z t)))

simplify1.7s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	1294
2	429
1	142
0	66

prune188.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize28.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ 1 (- y (* z t)))
1.9b	(* x (/ 1 (- y (* z t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`associate-r` `add-exp-log`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 77

Calls

2 calls:

9.0ms	(/ 1 (- y (* z t)))
19.0ms	(* x (/ 1 (- y (* z t))))

series103.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1 (- y (* z t)))
47.0ms	(* x (/ 1 (- y (* z t))))

simplify2.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	1917
2	772
1	254
0	105

prune408.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
1.2b	(/ (cbrt x) (- y (* z t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp` `pow-prod-down` `unswap-sqr`
2×	`flip3--` `pow1/3` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `associate-l` `associate-r/` `-commutative`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
59.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
16.0ms	(/ (cbrt x) (- y (* z t)))

series738.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt x)
232.0ms	(cbrt x)
86.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
156.0ms	(/ (cbrt x) (- y (* z t)))

simplify3.0s

Counts

134 → 134

Iterations

Iter	Nodes
done	5005
3	4462
2	1548
1	427
0	148

prune711.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.9b

localize53.0ms

Local error

Found 4 expressions with local error:

0.8b	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
8.2b	(cbrt (/ 1 (- y (* z t))))
8.2b	(cbrt (/ 1 (- y (* z t))))
8.2b	(cbrt (/ 1 (- y (* z t))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

52.0ms	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
6.0ms	(cbrt (/ 1 (- y (* z t))))
6.0ms	(cbrt (/ 1 (- y (* z t))))
7.0ms	(cbrt (/ 1 (- y (* z t))))

series731.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
147.0ms	(cbrt (/ 1 (- y (* z t))))
186.0ms	(cbrt (/ 1 (- y (* z t))))
207.0ms	(cbrt (/ 1 (- y (* z t))))

simplify2.5s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	2882
2	1005
1	380
0	171

prune715.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 1.9b

regimes471.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample914.0ms

Algorithm

intervals

Results

657.0ms

8373×

body

valid