Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

343×

body

valid

simplify962.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.8b	(/ (* x (+ (- y z) 1.0)) z)

rewrite131.0ms

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:

86.0ms	(* x (+ (- y z) 1.0))
43.0ms	(/ (* x (+ (- y z) 1.0)) z)

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (+ (- y z) 1.0))
44.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify536.0ms

Counts: 53 → 53

prune139.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.9b	(/ x (/ z (+ (- y z) 1.0)))

rewrite139.0ms

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:

58.0ms	(/ z (+ (- y z) 1.0))
70.0ms	(/ x (/ z (+ (- y z) 1.0)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ z (+ (- y z) 1.0))
47.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify695.0ms

Counts: 145 → 145

prune322.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.4b	(* x (/ (+ (- y z) 1.0) z))

rewrite223.0ms

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-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 76

Calls

2 calls:

101.0ms	(/ (+ (- y z) 1.0) z)
117.0ms	(* x (/ (+ (- y z) 1.0) z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ (- y z) 1.0) z)
50.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify597.0ms

Counts: 82 → 82

prune142.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ x (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))))
3.2b	(cbrt (/ z (+ (- y z) 1.0)))
3.2b	(cbrt (/ z (+ (- y z) 1.0)))
3.2b	(cbrt (/ z (+ (- y z) 1.0)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
63×	`cbrt-prod`
48×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
9×	`add-exp-log` `associate-/r/` `distribute-lft-out--`
7×	`cbrt-div` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

52.0ms	(/ x (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))))
20.0ms	(cbrt (/ z (+ (- y z) 1.0)))
20.0ms	(cbrt (/ z (+ (- y z) 1.0)))
25.0ms	(cbrt (/ z (+ (- y z) 1.0)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(/ x (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))))
165.0ms	(cbrt (/ z (+ (- y z) 1.0)))
181.0ms	(cbrt (/ z (+ (- y z) 1.0)))
147.0ms	(cbrt (/ z (+ (- y z) 1.0)))

simplify1.4s

Counts: 126 → 126

prune434.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes183.0ms

Accuracy

-231.5% (10.2b remaining)

Error of 10.2b against oracle of 0.0b and baseline of 3.1b

bsearch75.0ms

Steps

Iters	Range		Point
8	113.80638985429977	747238.1364410848	2355.8937832261954
6	-0.42774492123297775	-0.06705623481545048	-0.4122874216555284

simplify527.0ms

end0.0ms

sample938.0ms

Algorithm

intervals

Results

476.0ms

10110×

body

valid