Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
7.0ms	213×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	188	12
4	1000	12
done	5001	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- x (* (+ y 0.5) (log y)))
154.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
32.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
30.0ms	(* (+ y 0.5) (log y))

series593.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- x (* (+ y 0.5) (log y)))
57.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
57.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
408.0ms	(* (+ y 0.5) (log y))

simplify992.0ms

Counts

93 → 93

Iterations

Useful iterations: done (989.0ms)

Iter	Nodes	Cost
0	172	1294
1	460	1175
2	1857	1094
done	5001	1088

prune275.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-l`
4×	`associate-r` `frac-add`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`associate-+l+` `associate-+r+` `log-pow`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

52.0ms	(* (log (cbrt y)) (+ y 0.5))
50.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.4s

Counts

4 → 12

Calls

4 calls:

652.0ms	(* (log (cbrt y)) (+ y 0.5))
1.2s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
263.0ms	(cbrt y)
279.0ms	(cbrt y)

simplify1.7s

Counts

79 → 79

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	141	1106
1	433	969
2	2331	805
done	5002	777

prune460.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3 y) 1.5)
0.1b	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
0.3b	(* (log (cbrt y)) (+ (* 3 y) 1.5))
0.6b	(cbrt y)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`pow1` `add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`cbrt-prod` `flip3-+` `associate-r` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l+` `pow1/3` `associate-*r/` `log-pow`
1×	`distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

13.0ms	(+ (* 3 y) 1.5)
46.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
27.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* 3 y) 1.5)
141.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
687.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
281.0ms	(cbrt y)

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	125	937
1	360	902
2	1523	795
done	5000	792

prune344.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (* 3 y) 1.5))
0.4b	(* (* (sqrt (+ (* 3 y) 1.5)) (log (cbrt y))) (sqrt (+ (* 3 y) 1.5)))
0.5b	(* (sqrt (+ (* 3 y) 1.5)) (log (cbrt y)))
0.6b	(cbrt y)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`sqrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`log-prod`
11×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-*l/` `sqrt-prod`
9×	`cbrt-prod`
8×	`flip3-+` `flip-+`
7×	`associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-r/` `log-pow` `-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 93

Calls

4 calls:

22.0ms	(sqrt (+ (* 3 y) 1.5))
89.0ms	(* (* (sqrt (+ (* 3 y) 1.5)) (log (cbrt y))) (sqrt (+ (* 3 y) 1.5)))
40.0ms	(* (sqrt (+ (* 3 y) 1.5)) (log (cbrt y)))
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt (+ (* 3 y) 1.5))
742.0ms	(* (* (sqrt (+ (* 3 y) 1.5)) (log (cbrt y))) (sqrt (+ (* 3 y) 1.5)))
164.0ms	(* (sqrt (+ (* 3 y) 1.5)) (log (cbrt y)))
270.0ms	(cbrt y)

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	197	1858
1	491	1695
2	2311	1422
done	5000	1369

prune332.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

856.0ms	8036×	body	80	valid
434.0ms	8118×	body	80	nan
0.0ms	1×	body	640	valid