Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

321×

body

valid

simplify3.1s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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))
35.0ms	(* (- x 1.0) z)

series98.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma x y (* (- x 1.0) z))
56.0ms	(* (- x 1.0) z)

simplify5.0s

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

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt z) (cbrt z))
336.0ms	(cbrt z)
236.0ms	(cbrt z)
235.0ms	(cbrt z)

simplify971.0ms

Counts

93 → 93

Iterations

Useful iterations: done (968.0ms)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune355.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
1.0ms	(cbrt (fma x y (* (- x 1.0) z)))
1.0ms	(cbrt (fma x y (* (- x 1.0) z)))
1.0ms	(cbrt (fma x y (* (- x 1.0) z)))

series912.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt (fma x y (* (- x 1.0) z))) (cbrt (fma x y (* (- x 1.0) z))))
204.0ms	(cbrt (fma x y (* (- x 1.0) z)))
197.0ms	(cbrt (fma x y (* (- x 1.0) z)))
198.0ms	(cbrt (fma x y (* (- x 1.0) z)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	108	1801
1	265	1673
2	902	1510
done	5000	1356

prune381.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
1.7b	(* (- (pow x 3) (pow 1.0 3)) z)
12.1b	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

0.0ms	(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
21.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
137.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
79.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
23.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
43.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
100.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify1.7s

Counts

109 → 109

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	172	1980
1	485	1704
2	2814	1491
done	5000	1477

prune362.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

838.0ms

10154×

body

valid