Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

340×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
26	4763
25	4510
24	4265
23	4014
22	3757
21	3520
20	3263
19	3002
18	2745
17	2490
16	2233
15	1990
14	1662
13	1313
12	944
11	612
10	421
9	272
8	188
7	154
6	133
5	108
4	73
3	41
2	24
1	15
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
6.4b	(/ (* y (- z t)) a)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`associate-/r` `times-frac` `associate-l*` `insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

42.0ms	(* y (- z t))
17.0ms	(+ x (/ (* y (- z t)) a))
30.0ms	(/ (* y (- z t)) a)

series191.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* y (- z t))
88.0ms	(+ x (/ (* y (- z t)) a))
53.0ms	(/ (* y (- z t)) a)

simplify2.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	3864
2	916
1	318
0	119

prune404.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z t) (/ a y)))
6.4b	(/ (- z t) (/ a y))

rewrite89.0ms

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-cbrt-cube` `add-exp-log` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `insert-posit16` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 116

Calls

2 calls:

46.0ms	(+ x (/ (- z t) (/ a y)))
37.0ms	(/ (- z t) (/ a y))

series147.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ x (/ (- z t) (/ a y)))
79.0ms	(/ (- z t) (/ a y))

simplify1.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5003
2	1890
1	661
0	221

prune662.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- z t) (/ y a)))
5.6b	(* (- z t) (/ y a))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 51

Calls

2 calls:

7.0ms	(+ x (* (- z t) (/ y a)))
51.0ms	(* (- z t) (/ y a))

series123.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ x (* (- z t) (/ y a)))
53.0ms	(* (- z t) (/ y a))

simplify2.9s

Counts

57 → 57

Iterations

Iter	Nodes
done	5004
3	4914
2	1060
1	316
0	120

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

2.1b	(/ (- z t) (* (cbrt (/ a y)) (cbrt (/ a y))))
10.5b	(cbrt (/ a y))
10.5b	(cbrt (/ a y))
10.5b	(cbrt (/ a y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
32×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
9×	`add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `insert-posit16` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r/`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `flip3--` `div-sub` `associate-l/` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--`

Counts

4 → 101

Calls

4 calls:

25.0ms	(/ (- z t) (* (cbrt (/ a y)) (cbrt (/ a y))))
2.0ms	(cbrt (/ a y))
2.0ms	(cbrt (/ a y))
2.0ms	(cbrt (/ a y))

series432.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ (- z t) (* (cbrt (/ a y)) (cbrt (/ a y))))
83.0ms	(cbrt (/ a y))
84.0ms	(cbrt (/ a y))
93.0ms	(cbrt (/ a y))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5004
3	2138
2	763
1	334
0	162

prune703.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes521.0ms

Accuracy

36.1% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.6b

bsearch110.0ms

Steps

Iters	Range		Point
10	5.208382895771081e+71	9.133311605011986e+83	5.296167574529121e+71
6	-4.2123683799450495e-187	-1.0297009910709892e-187	-3.0031963596853533e-187

simplify5.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample1.4s

Algorithm

intervals

Results

633.0ms

10637×

body

valid