Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

331×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	44	9
3	113	9
4	194	9
5	291	9
6	385	9
7	795	9
8	3127	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.6b	(/ (* x (+ (- y z) 1.0)) z)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

119.0ms	(* x (+ (- y z) 1.0))
59.0ms	(/ (* x (+ (- y z) 1.0)) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (+ (- y z) 1.0))
50.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify2.7s

Counts

53 → 53

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	94	609
1	254	593
2	882	499
3	4763	485
done	5002	485

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ 1.0 y)) x)
3.5b	(* (/ x z) (+ 1.0 y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-r` `add-log-exp`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `flip3-+` `associate-*r/` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `distribute-lft-out`

Counts

2 → 53

Calls

2 calls:

15.0ms	(- (* (/ x z) (+ 1.0 y)) x)
29.0ms	(* (/ x z) (+ 1.0 y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* (/ x z) (+ 1.0 y)) x)
52.0ms	(* (/ x z) (+ 1.0 y))

simplify3.3s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	114	680
1	368	628
2	1158	582
3	4795	576
done	5000	576

prune121.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 y))
0.3b	(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
0.8b	(* (* (/ x z) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y)))
2.8b	(* (/ x z) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

146×	`cbrt-div`
102×	`frac-times`
73×	`flip3-+` `flip-+`
52×	`associate-*r/`
40×	`*-un-lft-identity`
39×	`associate-*l/`
36×	`add-exp-log`
33×	`add-sqr-sqrt`
32×	`cbrt-prod`
25×	`pow1`
22×	`add-cube-cbrt`
21×	`associate-l` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
15×	`associate-r`
11×	`pow-prod-down`
10×	`times-frac`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 200

Calls

4 calls:

4.0ms	(cbrt (+ 1.0 y))
41.0ms	(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
192.0ms	(* (* (/ x z) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y)))
61.0ms	(* (/ x z) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ 1.0 y))
139.0ms	(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
64.0ms	(* (* (/ x z) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y)))
226.0ms	(* (/ x z) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y))))

simplify2.0s

Counts

212 → 212

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	342	4944
1	941	4688
2	2983	4222
done	5001	3971

prune704.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
4.5b	(/ x (/ z (+ (- y z) 1.0)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

37.0ms	(/ z (+ (- y z) 1.0))
46.0ms	(/ x (/ z (+ (- y z) 1.0)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ z (+ (- y z) 1.0))
51.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify1.1s

Counts

145 → 145

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	200	2400
1	441	2236
2	1479	2142
done	5001	2116

prune379.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

72.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch78.0ms

Steps

Iters	Range		Point
8	5.242132222450432e-71	4.217990390014061e-67	5.333921896352304e-71
9	-5.4681645431414027e-104	-5.915824296491567e-109	-1.8941389623393486e-104

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	37
1	29	37
done	29	37

end0.0ms

sample1.0s

Algorithm

intervals

Results

486.0ms

10109×

body

valid