Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

318×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2925
7	1629
6	983
5	570
4	240
3	99
2	42
1	22
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.3b	(/ (* x (+ (- y z) 1.0)) z)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

69.0ms	(* x (+ (- y z) 1.0))
32.0ms	(/ (* x (+ (- y z) 1.0)) z)

series91.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (+ (- y z) 1.0))
44.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify2.4s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	4390
2	894
1	266
0	94

prune331.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.5b	(/ x (/ z (+ (- y z) 1.0)))

rewrite76.0ms

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-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

34.0ms	(/ z (+ (- y z) 1.0))
35.0ms	(/ x (/ z (+ (- y z) 1.0)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ z (+ (- y z) 1.0))
51.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify1.6s

Counts

145 → 145

Iterations

Iter	Nodes
done	5001
2	1761
1	512
0	200

prune606.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
2.7b	(* x (/ (+ (- y z) 1.0) z))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `associate-+l-` `flip-+`

Counts

2 → 76

Calls

2 calls:

84.0ms	(/ (+ (- y z) 1.0) z)
82.0ms	(* x (/ (+ (- y z) 1.0) z))

series93.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ (- y z) 1.0) z)
59.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify2.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4272
2	925
1	281
0	107

prune388.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ 1.0 y)) x)
3.8b	(* (/ x z) (+ 1.0 y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

18.0ms	(- (* (/ x z) (+ 1.0 y)) x)
28.0ms	(* (/ x z) (+ 1.0 y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (* (/ x z) (+ 1.0 y)) x)
52.0ms	(* (/ x z) (+ 1.0 y))

simplify1.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	1299
1	380
0	114

prune218.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

46% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.7b

bsearch41.0ms

Steps

Iters	Range		Point
9	-1.6773775159291146e+43	-1.5532570937414188e+37	-3.519120144959873e+37

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

510.0ms

10127×

body

valid