Details

sample52.0ms

Algorithm

intervals

Results

21.0ms

263×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	49
4	49
3	47
2	38
1	26
0	15

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* (/ y t) b))
3.6b	(* (/ y t) b)
6.0b	(* (/ y t) z)
8.1b	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
26×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-r` `add-log-exp`
4×	`associate-/r*` `prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`
2×	`pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg`

Counts

4 → 110

Calls

4 calls:

4.0ms	(+ a (* (/ y t) b))
12.0ms	(* (/ y t) b)
12.0ms	(* (/ y t) z)
81.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

series741.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ a (* (/ y t) b))
38.0ms	(* (/ y t) b)
36.0ms	(* (/ y t) z)
615.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	2348
1	487
0	192

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.6b

localize39.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (/ y t)) (cbrt (/ y t))) (* b (cbrt (/ y t)))))))
15.0b	(cbrt (/ y t))
15.0b	(cbrt (/ y t))
15.0b	(cbrt (/ y t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
39×	`cbrt-prod` `times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r*` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

4 → 101

Calls

4 calls:

44.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (/ y t)) (cbrt (/ y t))) (* b (cbrt (/ y t)))))))
2.0ms	(cbrt (/ y t))
2.0ms	(cbrt (/ y t))
2.0ms	(cbrt (/ y t))

series846.0ms

Counts

4 → 12

Calls

4 calls:

604.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (/ y t)) (cbrt (/ y t))) (* b (cbrt (/ y t)))))))
78.0ms	(cbrt (/ y t))
96.0ms	(cbrt (/ y t))
68.0ms	(cbrt (/ y t))

simplify692.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1075
1	314
0	151

prune994.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.6b

localize36.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (/ y t))
15.0b	(cbrt (/ y t))
15.0b	(cbrt (/ y t))
15.0b	(cbrt (/ y t))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `div-inv` `add-log-exp`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt (/ y t))
2.0ms	(cbrt (/ y t))
2.0ms	(cbrt (/ y t))
2.0ms	(cbrt (/ y t))

series381.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (/ y t))
89.0ms	(cbrt (/ y t))
101.0ms	(cbrt (/ y t))
79.0ms	(cbrt (/ y t))

simplify2.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
4	2969
3	627
2	210
1	112
0	76

prune949.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 7.6b

localize26.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (+ (* (* (cbrt (* z (/ y t))) (cbrt (* z (/ y t)))) (cbrt (* z (/ y t)))) x) (+ 1.0 (+ a (* (/ y t) b))))
15.3b	(cbrt (* z (/ y t)))
15.3b	(cbrt (* z (/ y t)))
15.3b	(cbrt (* z (/ y t)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r*` `distribute-lft-out` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r/` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 65

Calls

4 calls:

124.0ms	(/ (+ (* (* (cbrt (* z (/ y t))) (cbrt (* z (/ y t)))) (cbrt (* z (/ y t)))) x) (+ 1.0 (+ a (* (/ y t) b))))
8.0ms	(cbrt (* z (/ y t)))
8.0ms	(cbrt (* z (/ y t)))
6.0ms	(cbrt (* z (/ y t)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(/ (+ (* (* (cbrt (* z (/ y t))) (cbrt (* z (/ y t)))) (cbrt (* z (/ y t)))) x) (+ 1.0 (+ a (* (/ y t) b))))
156.0ms	(cbrt (* z (/ y t)))
128.0ms	(cbrt (* z (/ y t)))
106.0ms	(cbrt (* z (/ y t)))

simplify681.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1011
1	282
0	123

prune623.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 7.6b

regimes1.2s

Accuracy

51.9% (1.3b remaining)

Error of 13.3b against oracle of 12.0b and baseline of 14.7b

bsearch116.0ms

Steps

Iters	Range		Point
8	1.1258992149382071e+70	3.1011580425247445e+73	4.427619810627215e+72
8	-2.377518062730008e+47	-2.734380216735275e+44	-1.282223415085258e+46

simplify7.0ms

Iterations

Iter	Nodes
done	44
1	44
0	32

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s

8259×

body

valid