Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

277×

body

valid

simplify683.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
8.5b	(/ (* (- y z) t) (- a z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
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` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

23.0ms	(* (- y z) t)
46.0ms	(/ (* (- y z) t) (- a z))

series145.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- y z) t)
96.0ms	(/ (* (- y z) t) (- a z))

simplify531.0ms

Counts: 57 → 57

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
5.3b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite203.0ms

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×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

8.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
175.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series733.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (- a z))
199.0ms	(cbrt (- a z))
198.0ms	(cbrt (- a z))
146.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify906.0ms

Counts: 134 → 134

prune681.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
5.3b	(* (/ (- y z) (* (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

386×	`cbrt-div`
137×	`frac-times`
112×	`flip3--` `flip--`
89×	`associate-l`
82×	`associate-/r/`
69×	`associate-*l/`
49×	`add-exp-log`
46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`cbrt-prod` `times-frac`
30×	`associate-r` `add-cbrt-cube`
27×	`associate-*r/`
24×	`add-cube-cbrt`
22×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 199

Calls

4 calls:

4.0ms	(cbrt (- a z))
6.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
1.6s	(* (/ (- y z) (* (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (- a z))
221.0ms	(cbrt (- a z))
592.0ms	(cbrt (- a z))
136.0ms	(* (/ (- y z) (* (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.6s

Counts: 211 → 211

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) t)
11.6b	(/ (- y z) (/ (- a z) t))

rewrite78.0ms

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-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 175

Calls

2 calls:

22.0ms	(/ (- a z) t)
42.0ms	(/ (- y z) (/ (- a z) t))

series140.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- a z) t)
111.0ms	(/ (- y z) (/ (- a z) t))

simplify939.0ms

Counts: 181 → 181

prune485.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes327.0ms

Accuracy

-598.9% (10.7b remaining)

Error of 10.7b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify705.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

525.0ms	8755×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid