Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

277×

body

valid

simplify33.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
10.4b	(/ (* (- y z) t) (- a z))

rewrite56.0ms

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:

21.0ms	(* (- y z) t)
33.0ms	(/ (* (- y z) t) (- a z))

series109.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- y z) t)
75.0ms	(/ (* (- y z) t) (- a z))

simplify34.0ms

Counts: 57 → 57

prune145.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(* (cbrt (- a z)) (cbrt (- a z)))
3.3b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
31×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `difference-of-squares` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

5.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
38.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
121.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (- a z))
155.0ms	(cbrt (- a z))
133.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
112.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify100.0ms

Counts: 175 → 175

prune536.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- a z)) (cbrt (- a z)))
0.5b	(cbrt (cbrt (- a z)))
0.6b	(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
1.9b	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
156×	`add-sqr-sqrt`
121×	`cbrt-prod`
108×	`cbrt-div`
91×	`*-un-lft-identity`
88×	`associate-l`
61×	`add-cube-cbrt`
47×	`associate-r`
44×	`flip3--` `flip--`
42×	`associate-/r/`
38×	`add-exp-log`
29×	`frac-times`
24×	`unswap-sqr`
22×	`add-cbrt-cube`
15×	`associate-r/` `associate-l/`
14×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
13×	`pow1`
12×	`difference-of-squares`
11×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr`
8×	`pow1/3`
6×	`div-inv`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 258

Calls

4 calls:

39.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
5.0ms	(cbrt (cbrt (- a z)))
14.0ms	(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
197.0ms	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
161.0ms	(cbrt (cbrt (- a z)))
138.0ms	(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
110.0ms	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

simplify59.0ms

Counts: 270 → 270

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
12.4b	(* (/ t (- a z)) (- y z))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

12.0ms	(/ t (- a z))
50.0ms	(* (/ t (- a z)) (- y z))

series200.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ t (- a z))
167.0ms	(* (/ t (- a z)) (- y z))

simplify37.0ms

Counts: 93 → 93

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample882.0ms

Algorithm

intervals

Results

353.0ms	8762×	body	80	valid
0.0ms	1×	body	160	valid