Details

sample35.0ms

Algorithm

intervals

Results

12.0ms

304×

body

valid

simplify89.0ms

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	84	7
5	92	7
done	92	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:

13.0ms	(- 1.0 (* y z))
36.0ms	(* x (- 1.0 (* y z)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- 1.0 (* y z))
95.0ms	(* x (- 1.0 (* y z)))

simplify5.0s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	81	610
1	192	601
2	741	528
3	3873	516
done	5000	516

prune448.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.8b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0b	(cbrt (- 1.0 (* y z)))
3.0b	(cbrt (- 1.0 (* y z)))
3.0b	(cbrt (- 1.0 (* y z)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

106.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
7.0ms	(cbrt (- 1.0 (* y z)))
9.0ms	(cbrt (- 1.0 (* y z)))
11.0ms	(cbrt (- 1.0 (* y z)))

series1.9s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
555.0ms	(cbrt (- 1.0 (* y z)))
553.0ms	(cbrt (- 1.0 (* y z)))
544.0ms	(cbrt (- 1.0 (* y z)))

simplify1.3s

Counts

86 → 86

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	140	1593
1	354	1517
2	1229	1381
done	5001	1211

prune891.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
3.0b	(cbrt (- 1.0 (* y z)))
3.0b	(cbrt (- 1.0 (* y z)))
3.0b	(cbrt (- 1.0 (* y z)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
8×	`associate-*r/`
6×	`associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 76

Calls

4 calls:

87.0ms	(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
10.0ms	(cbrt (- 1.0 (* y z)))
10.0ms	(cbrt (- 1.0 (* y z)))
17.0ms	(cbrt (- 1.0 (* y z)))

series1.8s

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
500.0ms	(cbrt (- 1.0 (* y z)))
535.0ms	(cbrt (- 1.0 (* y z)))
542.0ms	(cbrt (- 1.0 (* y z)))

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	139	1718
1	381	1629
2	1667	1490
done	5001	1420

prune840.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (cbrt x) (- 1.0 (* y z)))
2.1b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-sqr-sqrt`
18×	`pow1` `add-exp-log` `prod-diff`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
42.0ms	(* (cbrt x) (- 1.0 (* y z)))
109.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

363.0ms	(cbrt x)
361.0ms	(cbrt x)
396.0ms	(* (cbrt x) (- 1.0 (* y z)))
155.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify4.3s

Counts

120 → 120

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	149	1765
1	450	1739
2	2905	1279
done	5001	1045

prune633.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 3.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 3.5b against oracle of 3.4b and baseline of 3.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	17	10
2	25	10
done	25	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

509.0ms

9574×

body

valid