Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

299×

body

valid

simplify89.0ms

Counts

1 → 1

Iterations

Useful iterations: 7 (57.0ms)

Iter	Nodes	Cost
0	6	123
1	16	123
2	22	123
3	35	123
4	43	123
5	50	123
6	54	123
7	60	98
8	63	98
9	65	98
done	65	98

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.4b	(fma y (/ x z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (/ x z) x)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fma y (/ x z) x)

simplify5.7s

Counts

13 → 13

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	18	1994
1	26	1919
2	57	1919
3	194	1919
4	783	1919
5	2334	1919
done	5001	1919

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
15.4b	(/ (* x (+ y z)) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r` `associate-*r/`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

19.0ms	(* x (+ y z))
11.0ms	(/ (* x (+ y z)) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ y z))
53.0ms	(/ (* x (+ y z)) z)

simplify3.5s

Counts

56 → 56

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	90	9560
1	250	8670
2	848	8485
3	3873	8250
done	5007	8250

prune282.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
2.9b	(* x (/ (+ y z) z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
16×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`associate-/r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

2 → 72

Calls

2 calls:

15.0ms	(/ (+ y z) z)
33.0ms	(* x (/ (+ y z) z))

series61.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ (+ y z) z)
42.0ms	(* x (/ (+ y z) z))

simplify3.8s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	101	15077
1	252	14164
2	828	13840
3	4065	13605
done	5002	13605

prune457.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
9.4b	(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`times-frac`
28×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
23×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
78.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

series988.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt z)
344.0ms	(cbrt z)
276.0ms	(cbrt z)
99.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

simplify2.7s

Counts

118 → 118

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	147	36289
1	474	33534
2	2106	32888
done	5002	28813

prune636.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes370.0ms

Accuracy

47.3% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	560
1	19	560
done	19	560

end0.0ms

sample830.0ms

Algorithm

intervals

Results

391.0ms

9626×

body

valid