Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

270×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ y t) z) x)
3.8b	(* (/ y t) z)
4.1b	(* (/ y t) b)
12.6b	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

rewrite120.0ms

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:

13.0ms	(+ (* (/ y t) z) x)
19.0ms	(* (/ y t) z)
19.0ms	(* (/ y t) b)
63.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* (/ y t) z) x)
24.0ms	(* (/ y t) z)
30.0ms	(* (/ y t) b)
557.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	2144
1	460
0	182

prune799.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.4b

localize64.0ms

Local error

Found 4 expressions with local error:

12.6b	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (cbrt (* (/ y t) b))))))
20.5b	(cbrt (* (/ y t) b))
20.5b	(cbrt (* (/ y t) b))
20.5b	(cbrt (* (/ y t) b))

rewrite61.0ms

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-l/` `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:

44.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (cbrt (* (/ y t) b))))))
5.0ms	(cbrt (* (/ y t) b))
5.0ms	(cbrt (* (/ y t) b))
5.0ms	(cbrt (* (/ y t) b))

series889.0ms

Counts

4 → 12

Calls

4 calls:

620.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (cbrt (* (/ y t) b))))))
90.0ms	(cbrt (* (/ y t) b))
89.0ms	(cbrt (* (/ y t) b))
89.0ms	(cbrt (* (/ y t) b))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1041
1	283
0	123

prune679.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.4b

localize53.0ms

Local error

Found 4 expressions with local error:

12.6b	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (* (cbrt (/ y t)) (cbrt b))))))
14.2b	(cbrt (/ y t))
20.5b	(cbrt (* (/ y t) b))
20.5b	(cbrt (* (/ y t) b))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

52.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (* (cbrt (/ y t)) (cbrt b))))))
2.0ms	(cbrt (/ y t))
5.0ms	(cbrt (* (/ y t) b))
5.0ms	(cbrt (* (/ y t) b))

series859.0ms

Counts

4 → 12

Calls

4 calls:

548.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (* (cbrt (/ y t)) (cbrt b))))))
82.0ms	(cbrt (/ y t))
108.0ms	(cbrt (* (/ y t) b))
121.0ms	(cbrt (* (/ y t) b))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1245
1	372
0	182

prune901.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 12.4b

localize67.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ y t) b)
12.6b	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (* (/ (cbrt y) (cbrt t)) (cbrt b))))))
20.5b	(cbrt (* (/ y t) b))
20.5b	(cbrt (* (/ y t) b))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

17.0ms	(* (/ y t) b)
41.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (* (/ (cbrt y) (cbrt t)) (cbrt b))))))
5.0ms	(cbrt (* (/ y t) b))
5.0ms	(cbrt (* (/ y t) b))

series886.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (/ y t) b)
587.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (* (cbrt (* (/ y t) b)) (cbrt (* (/ y t) b))) (* (/ (cbrt y) (cbrt t)) (cbrt b))))))
136.0ms	(cbrt (* (/ y t) b))
131.0ms	(cbrt (* (/ y t) b))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1864
1	426
0	176

prune908.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 12.4b

regimes1.2s

Accuracy

57.7% (1.2b remaining)

Error of 13.1b against oracle of 11.9b and baseline of 14.8b

bsearch123.0ms

Steps

Iters	Range		Point
7	3.902723472080927e-59	1.7615960166582e-57	6.407005522400074e-58
6	-2.2995465435563575e+50	-1.5599804261144372e+49	-2.5604806555725456e+49

simplify9.0ms

Iterations

Iter	Nodes
done	58
1	58
0	42

end0.0ms

sample1.5s

Algorithm

intervals

Results

548.0ms

8278×

body

valid