Details

sample35.0ms

Algorithm

intervals

Results

21.0ms

306×

body

valid

simplify405.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

405.0ms

(* x (/ (* (/ y z) t) t))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize7.0ms

Local error

Found 1 expressions with local error:

5.8b	(* x (/ y z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

Slowest

11.0ms

(* x (/ y z))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

(* x (/ y z))

simplify663.0ms

Counts

27 → 36

Calls

27 calls:

Slowest

229.0ms	(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
84.0ms	(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
54.0ms	(+ (log x) (log (/ y z)))
44.0ms	(* (sqrt x) (/ (sqrt y) (sqrt z)))
38.0ms	(+ (log x) (- (log y) (log z)))

prune400.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`prod-exp`
22×	`associate-r`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-prod` `times-frac`
16×	`cbrt-unprod`
14×	`div-exp`
9×	`pow1`
8×	`cbrt-undiv`
4×	`1-exp` `insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*r/`
1×	`frac-times` `associate-l` `associate-l/` `-commutative` `div-inv`

Counts

4 → 93

Calls

4 calls:

Slowest

85.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series898.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

286.0ms	(cbrt y)
271.0ms	(cbrt y)
266.0ms	(cbrt y)
75.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.8s

Counts

68 → 105

Calls

68 calls:

Slowest

880.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
782.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
463.0ms	(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))
459.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
447.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

12.4b	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
12.4b	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
12.4b	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
3.5b	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`prod-exp`
22×	`associate-r`
18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`cbrt-unprod`
14×	`div-exp`
12×	`cbrt-prod` `associate-*r/`
9×	`pow1` `cbrt-div`
8×	`cbrt-undiv`
4×	`frac-times` `1-exp` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 96

Calls

4 calls:

Slowest

77.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
73.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
60.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
54.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
120.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
118.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
46.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify11.0s

Counts

71 → 108

Calls

71 calls:

Slowest

835.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
555.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
478.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
469.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
435.0ms	(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

12.4b	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
12.4b	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
9.3b	(cbrt (* x (/ (* (cbrt y) (cbrt y)) 1)))
3.5b	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`prod-exp`
22×	`associate-r`
18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`cbrt-unprod`
14×	`div-exp`
12×	`cbrt-prod`
10×	`associate-*r/`
9×	`pow1`
8×	`cbrt-undiv`
7×	`cbrt-div`
4×	`1-exp` `insert-posit16` `add-log-exp`
3×	`frac-times` `pow1/3` `pow-prod-down` `associate-*l/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 94

Calls

4 calls:

Slowest

87.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
73.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
49.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
17.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) 1)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

317.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) 1)))
103.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
100.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
59.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify10.8s

Counts

69 → 106

Calls

69 calls:

Slowest

940.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
827.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
513.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
416.0ms	(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (log (/ (cbrt y) z)))
414.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.9s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

94.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.6b

bsearch10.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

989.0ms

9580×

body

valid