Details

sample230.0ms

Algorithm

intervals

Results

110.0ms	470×	body	80	nan
75.0ms	379×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4006
4	855
3	244
2	84
1	37
0	20

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

39.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
13.0ms	(- (* (- x 0.5) (log x)) x)
26.0ms	(* (- x 0.5) (log x))
48.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
643.0ms	(- (* (- x 0.5) (log x)) x)
435.0ms	(* (- x 0.5) (log x))
109.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.7s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	2089
1	509
0	220

prune795.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.9b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
80.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series920.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt x)
282.0ms	(cbrt x)
263.0ms	(cbrt x)
120.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	900
1	226
0	99

prune847.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.9b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
49.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series905.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt x)
301.0ms	(cbrt x)
242.0ms	(cbrt x)
123.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	900
1	226
0	99

prune739.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.9b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log x))
0.6b	(cbrt (log x))
0.6b	(cbrt (log x))
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`cbrt-prod`
9×	`times-frac`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `log-pow` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (log x))
2.0ms	(cbrt (log x))
2.0ms	(cbrt (log x))
53.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt (log x))
392.0ms	(cbrt (log x))
397.0ms	(cbrt (log x))
123.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify889.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	916
1	231
0	104

prune572.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.9b

regimes597.0ms

Accuracy

85.5% (0.3b remaining)

Error of 4.0b against oracle of 3.7b and baseline of 5.7b

bsearch140.0ms

Steps

Iters	Range		Point
8	4.914353332754341e+32	2.99988769581893e+36	2.176139995006076e+35

simplify30.0ms

Iterations

Iter	Nodes
done	57
3	57
2	55
1	52
0	41

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.7s	11553×	body	80	nan
2.3s	11630×	body	80	valid