Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

315×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2662
7	1716
6	872
5	387
4	171
3	84
2	34
1	14
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
1.7b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

20.0ms	(* (- 1.0 y) z)
23.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- 1.0 y) z)
69.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	3178
2	680
1	226
0	93

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
1.7b	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

4.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
35.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
17.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (- 1.0 y))
98.0ms	(cbrt (- 1.0 y))
114.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
87.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

simplify3.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5004
3	4716
2	1289
1	475
0	200

prune728.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* x 1.0))
0.0b	(+ (* x 1.0) (* z (- (* x y) (* x 1.0))))
3.9b	(* z (- (* x y) (* x 1.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r`
3×	`associate-l`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

12.0ms	(- (* x y) (* x 1.0))
10.0ms	(+ (* x 1.0) (* z (- (* x y) (* x 1.0))))
25.0ms	(* z (- (* x y) (* x 1.0)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x y) (* x 1.0))
93.0ms	(+ (* x 1.0) (* z (- (* x y) (* x 1.0))))
85.0ms	(* z (- (* x y) (* x 1.0)))

simplify2.5s

Counts

62 → 62

Iterations

Iter	Nodes
done	5003
3	3651
2	812
1	252
0	89

prune307.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* z x) (- y 1.0)))
4.2b	(* (* z x) (- y 1.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

16.0ms	(+ (* x 1.0) (* (* z x) (- y 1.0)))
49.0ms	(* (* z x) (- y 1.0))

series175.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (* x 1.0) (* (* z x) (- y 1.0)))
84.0ms	(* (* z x) (- y 1.0))

simplify1.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1035
1	268
0	91

prune193.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes596.0ms

Accuracy

80% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.8b

bsearch95.0ms

Steps

Iters	Range		Point
6	1.921901051239475e-150	2.140347190891532e-149	2.086550764333193e-149
9	-1.5126921914429756e+82	-1.5715417821050658e+76	-1.1477787534574946e+77

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

406.0ms

10044×

body

valid