Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

329×

body

valid

simplify12.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (24.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	85	9
4	198	8
5	330	8
6	506	8
7	600	8
8	839	8
9	957	8
10	1118	8
11	1449	8
12	2419	8
13	2976	8
14	3268	8
15	3276	8
done	3276	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
2.9b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
8×	`associate-l`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 76

Calls

3 calls:

3.0ms	(- 1.0 (* (- 1.0 y) z))
10.0ms	(* (- 1.0 y) z)
9.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- 1.0 (* (- 1.0 y) z))
31.0ms	(* (- 1.0 y) z)
51.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.8s

Counts

85 → 85

Iterations

Useful iterations: 3 (682.0ms)

Iter	Nodes	Cost
0	125	1011
1	272	980
2	800	857
3	2983	774
done	5000	774

prune185.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.3b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
2.9b	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`cbrt-prod`
36×	`*-un-lft-identity`
18×	`add-cube-cbrt`
16×	`cbrt-div`
13×	`pow1`
11×	`associate-r` `associate-l`
10×	`swap-sqr`
9×	`flip3--` `flip--`
8×	`add-exp-log` `pow1/3` `distribute-lft-out--`
6×	`prod-diff` `add-cbrt-cube` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`sub-neg` `associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (- 1.0 y))
2.0ms	(cbrt (- 1.0 y))
20.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
9.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (- 1.0 y))
93.0ms	(cbrt (- 1.0 y))
109.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
52.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

simplify757.0ms

Counts

136 → 136

Iterations

Useful iterations: done (752.0ms)

Iter	Nodes	Cost
0	221	2449
1	492	2315
2	1468	1775
done	5000	1708

prune374.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.0b	(* (* x z) (- y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

14.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify2.4s

Counts

49 → 49

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	114	877
1	299	708
2	1041	568
3	3864	526
done	5001	526

prune71.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
4.1b	(* z (* x (- y 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 112

Calls

2 calls:

14.0ms	(* x (- y 1.0))
18.0ms	(* z (* x (- y 1.0)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (- y 1.0))
48.0ms	(* z (* x (- y 1.0)))

simplify1.9s

Counts

118 → 118

Iterations

Useful iterations: 3 (794.0ms)

Iter	Nodes	Cost
0	190	2187
1	406	1693
2	939	1347
3	3299	1221
done	5001	1221

prune147.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

83% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch68.0ms

Steps

Iters	Range		Point
8	6.247390229845809e-171	2.393685370591107e-168	1.0069787624898928e-168
6	-1.4872788619231118e-52	-9.610448213969254e-54	-5.314245859374439e-53

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	45
1	34	45
done	34	45

end0.0ms

sample417.0ms

Algorithm

intervals

Results

223.0ms

10097×

body

valid