Details

sample43.0ms

Algorithm

intervals

Results

18.0ms

328×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	68	8
5	94	8
6	105	8
7	126	8
8	170	8
9	391	8
10	1517	8
done	5001	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma x y (* (- x 1.0) z))
31.0ms	(* (- x 1.0) z)

series111.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma x y (* (- x 1.0) z))
57.0ms	(* (- x 1.0) z)

simplify4.9s

Counts

40 → 40

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	64	347
1	138	332
2	498	295
3	4974	293
done	5000	293

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

35.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
8.0ms	(cbrt (* (- x 1.0) z))
13.0ms	(cbrt (* (- x 1.0) z))
14.0ms	(cbrt (* (- x 1.0) z))

series418.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
113.0ms	(cbrt (* (- x 1.0) z))
89.0ms	(cbrt (* (- x 1.0) z))
95.0ms	(cbrt (* (- x 1.0) z))

simplify724.0ms

Counts

92 → 92

Iterations

Useful iterations: done (721.0ms)

Iter	Nodes	Cost
0	154	1639
1	391	1492
2	1257	1355
done	5000	1275

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.1b	(* (- (* x x) (* 1.0 1.0)) z)
4.3b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `times-frac` `associate-l` `associate-l/` `associate-/r` `log1p-expm1-u`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

11.0ms	(- (* x x) (* 1.0 1.0))
1.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
60.0ms	(* (- (* x x) (* 1.0 1.0)) z)
35.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series276.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* x x) (* 1.0 1.0))
97.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
59.0ms	(* (- (* x x) (* 1.0 1.0)) z)
70.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	130	1301
1	359	1253
2	2125	1069
done	5001	1058

prune315.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (/ 1 (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z))))
0.2b	(/ 1 (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z)))
4.1b	(* (- (* x x) (* 1.0 1.0)) z)
4.3b	(/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
39×	`*-un-lft-identity`
32×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*l/`
11×	`associate-/r*` `associate-/r/`
7×	`pow1` `cbrt-undiv` `associate-/l*`
6×	`flip3--` `flip--` `div-inv` `distribute-lft-out`
5×	`prod-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `fma-udef` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

3.0ms	(fma x y (/ 1 (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z))))
65.0ms	(/ 1 (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z)))
38.0ms	(* (- (* x x) (* 1.0 1.0)) z)
38.0ms	(/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z))

series299.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(fma x y (/ 1 (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z))))
85.0ms	(/ 1 (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z)))
61.0ms	(* (- (* x x) (* 1.0 1.0)) z)
53.0ms	(/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z))

simplify1.9s

Counts

144 → 144

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	220	2834
1	579	2620
2	2593	2226
done	5000	2205

prune409.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample934.0ms

Algorithm

intervals

Results

478.0ms

10185×

body

valid