Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

328×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	48	9
4	79	9
5	120	9
6	137	9
7	146	9
8	163	9
9	211	9
10	287	9
11	327	9
12	371	9
13	389	9
14	476	9
15	567	9
16	816	9
17	1145	9
18	1569	9
19	1652	9
20	1654	9
done	1654	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
8.1b	(/ (* (- y x) z) t)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

28.0ms	(* (- y x) z)
9.0ms	(+ x (/ (* (- y x) z) t))
24.0ms	(/ (* (- y x) z) t)

series168.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (- y x) z)
50.0ms	(+ x (/ (* (- y x) z) t))
67.0ms	(/ (* (- y x) z) t)

simplify3.3s

Counts

66 → 66

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	110	688
1	283	653
2	993	559
3	4871	559
done	5000	559

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
3.6b	(* (- y x) (/ z t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

10.0ms	(+ x (* (- y x) (/ z t)))
33.0ms	(* (- y x) (/ z t))

series141.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ x (* (- y x) (/ z t)))
73.0ms	(* (- y x) (/ z t))

simplify2.9s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	115	669
1	293	627
2	1083	581
3	4484	557
done	5001	557

prune130.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.0b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
108.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series883.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt z)
239.0ms	(cbrt z)
245.0ms	(cbrt z)
151.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify983.0ms

Counts

81 → 81

Iterations

Useful iterations: done (980.0ms)

Iter	Nodes	Cost
0	144	1045
1	372	974
2	1507	731
done	5000	702

prune394.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
4.2b	(/ (- y x) (/ t z))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

65.0ms	(+ x (/ (- y x) (/ t z)))
24.0ms	(/ (- y x) (/ t z))

series137.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ x (/ (- y x) (/ t z)))
77.0ms	(/ (- y x) (/ t z))

simplify1.7s

Counts

120 → 120

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	217	1896
1	594	1770
2	1847	1680
done	5001	1678

prune350.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample1.3s

Algorithm

intervals

Results

660.0ms

10578×

body

valid