Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y t) (- y z))
8.8b	(/ x (* (- y t) (- y z)))

rewrite60.0ms

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:

43.0ms	(* (- y t) (- y z))
14.0ms	(/ x (* (- y t) (- y z)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- y t) (- y z))
91.0ms	(/ x (* (- y t) (- y z)))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2517
1	436
0	177

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y t) (- y z))
0.7b	(/ 1 (/ (* (- y t) (- y z)) x))
8.6b	(/ (* (- y t) (- y z)) x)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 143

Calls

3 calls:

49.0ms	(* (- y t) (- y z))
21.0ms	(/ 1 (/ (* (- y t) (- y z)) x))
33.0ms	(/ (* (- y t) (- y z)) x)

series355.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- y t) (- y z))
237.0ms	(/ 1 (/ (* (- y t) (- y z)) x))
87.0ms	(/ (* (- y t) (- y z)) x)

simplify2.1s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	4525
1	703
0	255

prune734.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y t))
2.0b	(/ (/ x (- y t)) (- y z))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

18.0ms	(/ x (- y t))
51.0ms	(/ (/ x (- y t)) (- y z))

series182.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ x (- y t))
118.0ms	(/ (/ x (- y t)) (- y z))

simplify1.4s

Counts

195 → 195

Iterations

Iter	Nodes
done	5002
2	2556
1	664
0	268

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (- y z) (- (* y y) (* t t)))
3.6b	(- (* y y) (* t t))
8.8b	(/ x (/ (* (+ y z) (* (- y z) (- (* y y) (* t t)))) (* (+ y t) (+ y z))))
39.4b	(/ (* (+ y z) (* (- y z) (- (* y y) (* t t)))) (* (+ y t) (+ y z)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-cbrt-cube` `add-exp-log`
52×	`frac-times`
44×	`times-frac`
41×	`associate-/r/`
39×	`flip3-+` `flip-+`
28×	`add-sqr-sqrt`
26×	`-un-lft-identity` `associate-r/` `associate-/l/`
25×	`flip3--` `flip--`
24×	`add-cube-cbrt`
20×	`associate-*l/`
19×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
14×	`associate-/r*`
6×	`pow1` `div-inv` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `associate-/l*`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-diff` `difference-of-squares`
2×	`clear-num` `frac-2neg`
1×	`fma-neg` `diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 197

Calls

4 calls:

37.0ms	(* (- y z) (- (* y y) (* t t)))
7.0ms	(- (* y y) (* t t))
43.0ms	(/ x (/ (* (+ y z) (* (- y z) (- (* y y) (* t t)))) (* (+ y t) (+ y z))))
112.0ms	(/ (* (+ y z) (* (- y z) (- (* y y) (* t t)))) (* (+ y t) (+ y z)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (- y z) (- (* y y) (* t t)))
43.0ms	(- (* y y) (* t t))
504.0ms	(/ x (/ (* (+ y z) (* (- y z) (- (* y y) (* t t)))) (* (+ y t) (+ y z))))
96.0ms	(/ (* (+ y z) (* (- y z) (- (* y y) (* t t)))) (* (+ y t) (+ y z)))

simplify709.0ms

Counts

209 → 209

Iterations

Iter	Nodes
done	5000
1	1266
0	355

prune1.7s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes256.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

527.0ms

8419×

body

valid