Details

sample80.0ms

Algorithm

intervals

Results

37.0ms

497×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	159	13
4	298	13
5	384	13
6	392	13
7	463	13
8	620	13
9	632	13
done	632	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
4.8b	(* (* y 4.0) (- (* z z) t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt`
4×	`associate-r` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 38

Calls

2 calls:

12.0ms	(- (* z z) t)
52.0ms	(* (* y 4.0) (- (* z z) t))

series124.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* z z) t)
91.0ms	(* (* y 4.0) (- (* z z) t))

simplify2.2s

Counts

44 → 44

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	76	489
1	209	477
2	748	393
3	2880	393
done	5002	393

prune149.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

113.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
10.0ms	(cbrt (- (* z z) t))
10.0ms	(cbrt (- (* z z) t))
10.0ms	(cbrt (- (* z z) t))

series456.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
123.0ms	(cbrt (- (* z z) t))
101.0ms	(cbrt (- (* z z) t))
97.0ms	(cbrt (- (* z z) t))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	120	1340
1	307	1252
2	914	1084
3	3034	1048
done	5000	1030

prune316.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 3 expressions with local error:

2.5b	(- (pow z 4) (* t t))
4.8b	(* (* y 4.0) (/ (- (pow z 4) (* t t)) (+ (pow z 2) t)))
24.7b	(/ (- (pow z 4) (* t t)) (+ (pow z 2) t))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`times-frac`
46×	`add-sqr-sqrt`
30×	`associate-r` `difference-of-squares`
26×	`add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
10×	`unpow-prod-down` `sqr-pow`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down`
2×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

3 → 116

Calls

3 calls:

15.0ms	(- (pow z 4) (* t t))
75.0ms	(* (* y 4.0) (/ (- (pow z 4) (* t t)) (+ (pow z 2) t)))
48.0ms	(/ (- (pow z 4) (* t t)) (+ (pow z 2) t))

series362.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (pow z 4) (* t t))
210.0ms	(* (* y 4.0) (/ (- (pow z 4) (* t t)) (+ (pow z 2) t)))
83.0ms	(/ (- (pow z 4) (* t t)) (+ (pow z 2) t))

simplify1.8s

Counts

125 → 125

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	178	2446
1	515	2308
2	2113	2062
done	5000	1827

prune494.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.7b	(sqrt (- (* z z) t))
4.7b	(sqrt (- (* z z) t))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

63.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
165.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
17.0ms	(sqrt (- (* z z) t))
17.0ms	(sqrt (- (* z z) t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
71.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
52.0ms	(sqrt (- (* z z) t))
62.0ms	(sqrt (- (* z z) t))

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	136	1685
1	368	1362
2	1295	1120
done	5000	1116

prune389.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.0b

regimes514.0ms

Accuracy

56.3% (1.5b remaining)

Error of 4.0b against oracle of 2.5b and baseline of 6.0b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	25	36
done	25	36

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

15680×

body

valid