Details

sample17.0ms

Algorithm

intervals

Results

5.0ms

312×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	62	7
4	161	7
5	283	7
6	397	7
7	559	7
8	736	7
9	1179	7
10	1379	7
11	1406	7
done	1406	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

37.0ms

(* (+ x y) (- 1.0 z))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (+ x y) (- 1.0 z))

simplify874.0ms

Counts

56 → 56

Iterations

Useful iterations: done (872.0ms)

Iter	Nodes	Cost
0	134	1028
1	374	845
2	1178	725
done	5000	700

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) (- 1.0 z))) (cbrt (* (+ x y) (- 1.0 z))))
0.5b	(cbrt (* (+ x y) (- 1.0 z)))
0.5b	(cbrt (* (+ x y) (- 1.0 z)))
0.5b	(cbrt (* (+ x y) (- 1.0 z)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 170

Calls

4 calls:

33.0ms	(* (cbrt (* (+ x y) (- 1.0 z))) (cbrt (* (+ x y) (- 1.0 z))))
11.0ms	(cbrt (* (+ x y) (- 1.0 z)))
14.0ms	(cbrt (* (+ x y) (- 1.0 z)))
11.0ms	(cbrt (* (+ x y) (- 1.0 z)))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (* (+ x y) (- 1.0 z))) (cbrt (* (+ x y) (- 1.0 z))))
357.0ms	(cbrt (* (+ x y) (- 1.0 z)))
349.0ms	(cbrt (* (+ x y) (- 1.0 z)))
352.0ms	(cbrt (* (+ x y) (- 1.0 z)))

simplify1.0s

Counts

182 → 182

Iterations

Useful iterations: done (1000.0ms)

Iter	Nodes	Cost
0	331	6048
1	633	5568
2	1693	5416
done	5000	5170

prune586.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

11.0ms	(cbrt (* (+ x y) (- 1.0 z)))
4.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
37.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series795.0ms

Counts

4 → 12

Calls

4 calls:

354.0ms	(cbrt (* (+ x y) (- 1.0 z)))
134.0ms	(cbrt (+ x y))
134.0ms	(cbrt (+ x y))
172.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: 3 (809.0ms)

Iter	Nodes	Cost
0	217	1619
1	503	1474
2	1398	1404
3	4569	1287
done	5000	1287

prune351.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

1.7b	(* (+ x y) (- (* 1.0 1.0) (* z z)))
7.9b	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

43.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
34.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series161.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
91.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	1450
1	471	1361
2	2216	1160
done	5000	1064

prune185.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes106.0ms

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	7
1	9	7
done	9	7

end0.0ms

sample462.0ms

Algorithm

intervals

Results

184.0ms	10126×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid