Details

sample44.0ms

Algorithm

intervals

Results

17.0ms

265×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1738
5	555
4	198
3	84
2	40
1	19
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y t) (- y z))
7.8b	(/ x (* (- y t) (- y z)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-l/` `associate-r/`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

59.0ms	(* (- y t) (- y z))
19.0ms	(/ x (* (- y t) (- y z)))

series141.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* (- y t) (- y z))
87.0ms	(/ x (* (- y t) (- y z)))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2517
1	436
0	177

prune398.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.0b	(/ 1 (- y t))
1.2b	(* (/ 1 (- y t)) (/ x (- y z)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `cbrt-unprod` `div-inv` `flip--`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 156

Calls

3 calls:

11.0ms	(/ x (- y z))
24.0ms	(/ 1 (- y t))
76.0ms	(* (/ 1 (- y t)) (/ x (- y z)))

series317.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (- y z))
55.0ms	(/ 1 (- y t))
227.0ms	(* (/ 1 (- y t)) (/ x (- y z)))

simplify2.0s

Counts

165 → 165

Iterations

Iter	Nodes
done	5001
2	3005
1	577
0	204

prune769.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) x)
0.0b	(/ 1 (- y t))
0.2b	(/ 1 (/ (- y z) x))
1.2b	(* (/ 1 (- y t)) (/ 1 (/ (- y z) x)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
247×	`add-sqr-sqrt`
211×	`*-un-lft-identity`
136×	`add-cube-cbrt`
104×	`add-exp-log`
62×	`associate-r`
52×	`div-exp`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
28×	`prod-exp`
27×	`associate-/r*`
21×	`associate-l`
18×	`rec-exp` `1-exp`
15×	`unswap-sqr`
14×	`cbrt-undiv`
12×	`div-inv`
11×	`associate-/l*`
10×	`pow1`
6×	`associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `pow-flip` `inv-pow` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `flip--`
2×	`associate-/l/`
1×	`frac-times` `div-sub` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`

Counts

4 → 334

Calls

4 calls:

29.0ms	(/ (- y z) x)
17.0ms	(/ 1 (- y t))
14.0ms	(/ 1 (/ (- y z) x))
99.0ms	(* (/ 1 (- y t)) (/ 1 (/ (- y z) x)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (- y z) x)
65.0ms	(/ 1 (- y t))
115.0ms	(/ 1 (/ (- y z) x))
245.0ms	(* (/ 1 (- y t)) (/ 1 (/ (- y z) x)))

simplify616.0ms

Counts

346 → 346

Iterations

Iter	Nodes
done	5000
1	1257
0	378

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (pow (cbrt y) 3) z) (- y t))
0.5b	(cbrt y)
0.8b	(pow (cbrt y) 3)
7.8b	(/ x (+ (* (- (pow (cbrt y) 3) z) (- y t)) (* (- y t) (fma z -1 z))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
32×	`add-cube-cbrt`
26×	`flip3--` `flip--`
22×	`associate-*l/`
18×	`prod-diff` `associate-/r/`
16×	`frac-add`
12×	`frac-times`
11×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`times-frac` `add-exp-log`
8×	`unpow-prod-down` `add-cbrt-cube` `cube-prod`
7×	`pow1` `difference-of-squares`
6×	`associate-*r/`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-pow` `pow1/3` `distribute-lft-out--` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

102.0ms	(* (- (pow (cbrt y) 3) z) (- y t))
1.0ms	(cbrt y)
3.0ms	(pow (cbrt y) 3)
56.0ms	(/ x (+ (* (- (pow (cbrt y) 3) z) (- y t)) (* (- y t) (fma z -1 z))))

series2.4s

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- (pow (cbrt y) 3) z) (- y t))
340.0ms	(cbrt y)
339.0ms	(pow (cbrt y) 3)
1.6s	(/ x (+ (* (- (pow (cbrt y) 3) z) (- y t)) (* (- y t) (fma z -1 z))))

simplify541.0ms

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
1	962
0	316

prune944.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample976.0ms

Algorithm

intervals

Results

415.0ms

8438×

body

valid