Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

276×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2268
10	810
9	491
8	355
7	284
6	249
5	158
4	96
3	56
2	35
1	21
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.0b	(* y (/ (- z t) (- z a)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

5.0ms	(+ x (* y (/ (- z t) (- z a))))
26.0ms	(/ (- z t) (- z a))
47.0ms	(* y (/ (- z t) (- z a)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ x (* y (/ (- z t) (- z a))))
67.0ms	(/ (- z t) (- z a))
94.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1781
1	448
0	162

prune703.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

9.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z a))
6.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))

series777.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (- z t))
180.0ms	(cbrt (- z a))
200.0ms	(cbrt (- z a))
203.0ms	(cbrt (- z a))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
3	1921
2	602
1	244
0	118

prune512.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.6b	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
16×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`flip3--` `flip--`
7×	`add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `associate-r/`

Counts

4 → 62

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
12.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

series835.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (- z a))
235.0ms	(cbrt (- z a))
205.0ms	(cbrt (- z a))
164.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

simplify1.7s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
3	2257
2	671
1	272
0	141

prune717.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.0b	(* y (* (- z t) (/ 1 (- z a))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 130

Calls

4 calls:

7.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
16.0ms	(/ 1 (- z a))
58.0ms	(* (- z t) (/ 1 (- z a)))
60.0ms	(* y (* (- z t) (/ 1 (- z a))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
46.0ms	(/ 1 (- z a))
59.0ms	(* (- z t) (/ 1 (- z a)))
90.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify3.3s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	3335
1	484
0	182

prune681.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes637.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

818.0ms

8716×

body

valid