Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

264×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	101	17
5	182	17
6	358	17
7	720	17
8	2092	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

16.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
57.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms	(- (* t z) x)
113.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
52.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	157	2130
1	398	2046
2	1108	1920
3	3331	1916
done	5000	1913

prune278.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.0b	(* y (/ z (- (* t z) x)))
2.2b	(/ x (- (* t z) x))
6.5b	(/ z (- (* t z) x))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

112.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
15.0ms	(* y (/ z (- (* t z) x)))
5.0ms	(/ x (- (* t z) x))
5.0ms	(/ z (- (* t z) x))

series231.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
33.0ms	(* y (/ z (- (* t z) x)))
55.0ms	(/ x (- (* t z) x))
31.0ms	(/ z (- (* t z) x))

simplify1.5s

Counts

145 → 145

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	205	2667
1	475	2589
2	1303	2389
3	3946	2389
done	5000	2386

prune379.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.0b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
2.2b	(/ x (- (* t z) x))
8.9b	(/ (* y z) (- (* t z) x))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*` `associate-/r/`
9×	`associate-/l*`
6×	`distribute-lft-out--` `add-log-exp`
5×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`distribute-rgt-out--` `frac-2neg` `clear-num`
2×	`flip3-+` `flip-+` `associate-/l/` `difference-of-squares`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 118

Calls

4 calls:

42.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
307.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
7.0ms	(/ (* y z) (- (* t z) x))

series275.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
119.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
60.0ms	(/ x (- (* t z) x))
33.0ms	(/ (* y z) (- (* t z) x))

simplify915.0ms

Counts

130 → 130

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	197	2845
1	476	2741
2	1440	2561
done	5000	2559

prune331.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
7.0b	(cbrt (- (* t z) x))
7.0b	(cbrt (- (* t z) x))
7.0b	(cbrt (- (* t z) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3--` `flip--`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

16.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
2.0ms	(cbrt (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))

series527.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
117.0ms	(cbrt (- (* t z) x))
124.0ms	(cbrt (- (* t z) x))
117.0ms	(cbrt (- (* t z) x))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	162	1610
1	448	1557
2	1205	1404
3	3286	1341
done	5000	1340

prune305.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

64.1% (2.4b remaining)

Error of 2.7b against oracle of 0.4b and baseline of 6.9b

bsearch91.0ms

Steps

Iters	Range		Point
8	4.510729601581707e+78	2.056649101282429e+83	1.270025644444061e+82
6	-2.817955795644209e+61	-2.4466208364066324e+60	-2.746176374232872e+61

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	137
1	36	89
done	36	89

end0.0ms

sample551.0ms

Algorithm

intervals

Results

331.0ms

8315×

body

valid