Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

322×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	32	8
3	73	8
4	172	8
5	289	8
6	397	8
7	471	8
8	525	8
9	941	8
10	4366	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- y x) (* 6.0 z) x)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(fma (- y x) (* 6.0 z) x)

simplify3.7s

Counts

13 → 13

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	23	154
1	44	151
2	108	135
3	404	123
4	3924	123
done	5000	123

prune35.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

9.0ms	(+ x (* (* (- y x) 6.0) z))
22.0ms	(* (- y x) 6.0)
35.0ms	(* (* (- y x) 6.0) z)

series125.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (* (* (- y x) 6.0) z))
32.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) z)

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	104	692
1	267	647
2	1360	562
done	5001	556

prune173.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y x))
0.0b	(+ x (* (* z (- y x)) 6.0))
0.3b	(* (* z (- y x)) 6.0)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

31.0ms	(* z (- y x))
12.0ms	(+ x (* (* z (- y x)) 6.0))
53.0ms	(* (* z (- y x)) 6.0)

series213.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* z (- y x))
72.0ms	(+ x (* (* z (- y x)) 6.0))
81.0ms	(* (* z (- y x)) 6.0)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	153	1222
1	387	1023
2	1725	847
done	5000	822

prune190.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (+ (* (- (pow (cbrt y) 3) x) z) (* z (+ (- x) x))) 6.0))
0.3b	(* (+ (* (- (pow (cbrt y) 3) x) z) (* z (+ (- x) x))) 6.0)
0.5b	(cbrt y)
0.7b	(pow (cbrt y) 3)

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-*l/`
9×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `flip3-+` `associate-*r/` `frac-add` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `associate-r` `associate-l`
2×	`flip3--` `pow-pow` `pow1/3` `flip--`
1×	`+-commutative` `cube-mult` `pow-to-exp` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 87

Calls

4 calls:

39.0ms	(+ x (* (+ (* (- (pow (cbrt y) 3) x) z) (* z (+ (- x) x))) 6.0))
185.0ms	(* (+ (* (- (pow (cbrt y) 3) x) z) (* z (+ (- x) x))) 6.0)
1.0ms	(cbrt y)
4.0ms	(pow (cbrt y) 3)

series711.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ x (* (+ (* (- (pow (cbrt y) 3) x) z) (* z (+ (- x) x))) 6.0))
90.0ms	(* (+ (* (- (pow (cbrt y) 3) x) z) (* z (+ (- x) x))) 6.0)
250.0ms	(cbrt y)
262.0ms	(pow (cbrt y) 3)

simplify1.7s

Counts

99 → 99

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	166	1486
1	533	1061
2	2307	863
done	5001	759

prune325.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample923.0ms

Algorithm

intervals

Results

459.0ms

10208×

body

valid