Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

319×

body

valid

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	52	7
4	81	7
5	87	7
done	87	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.7b	(* x (- 1.0 (* y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

9.0ms	(- 1.0 (* y z))
22.0ms	(* x (- 1.0 (* y z)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- 1.0 (* y z))
75.0ms	(* x (- 1.0 (* y z)))

simplify1.3s

Counts

58 → 58

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	81	610
1	176	601
2	457	528
3	1527	516
done	5001	462

prune197.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (- (* y z)) x))
6.0b	(* (- (* y z)) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-out` `fma-def` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

8.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
23.0ms	(* (- (* y z)) x)

series119.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
32.0ms	(* (- (* y z)) x)

simplify1.9s

Counts

47 → 47

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	70	457
1	192	378
2	902	351
done	5000	348

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (- (* y z)) x)
11.4b	(cbrt (* (- (* y z)) x))
11.4b	(cbrt (* (- (* y z)) x))
11.4b	(cbrt (* (- (* y z)) x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

11.0ms	(* (- (* y z)) x)
6.0ms	(cbrt (* (- (* y z)) x))
6.0ms	(cbrt (* (- (* y z)) x))
6.0ms	(cbrt (* (- (* y z)) x))

series510.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- (* y z)) x)
156.0ms	(cbrt (* (- (* y z)) x))
159.0ms	(cbrt (* (- (* y z)) x))
160.0ms	(cbrt (* (- (* y z)) x))

simplify3.6s

Counts

69 → 69

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	83	671
1	190	653
2	723	585
3	3286	561
done	5000	531

prune236.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (- (* y z)) x)
11.3b	(cbrt (- (* y z)))
11.4b	(cbrt (* (- (* y z)) x))
11.4b	(cbrt (* (- (* y z)) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`cbrt-prod`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
1×	`distribute-lft-neg-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

11.0ms	(* (- (* y z)) x)
3.0ms	(cbrt (- (* y z)))
8.0ms	(cbrt (* (- (* y z)) x))
6.0ms	(cbrt (* (- (* y z)) x))

series457.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- (* y z)) x)
137.0ms	(cbrt (- (* y z)))
139.0ms	(cbrt (* (- (* y z)) x))
144.0ms	(cbrt (* (- (* y z)) x))

simplify3.5s

Counts

74 → 74

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	112	683
1	240	665
2	814	602
3	3499	573
done	5000	551

prune413.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes357.0ms

Accuracy

94.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify19.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	42
1	37	33
2	49	33
3	53	33
done	53	33

end0.0ms

sample824.0ms

Algorithm

intervals

Results

456.0ms

9608×

body

valid