Details

sample60.0ms

Algorithm

intervals

Results

40.0ms

306×

body

valid

simplify461.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

461.0ms

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

prune11.0ms

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))

rewrite13.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

Slowest

12.0ms

(* x (/ y z))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

(* x (/ y z))

simplify737.0ms

Counts

27 → 38

Calls

27 calls:

Slowest

279.0ms	(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
119.0ms	(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
65.0ms	(+ (log x) (- (log y) (log z)))
38.0ms	(+ (log x) (log (/ y z)))
33.0ms	(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune357.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)

rewrite68.0ms

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×	`expm1-log1p-u` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*r/`
1×	`frac-times` `associate-l` `associate-l/` `-commutative` `div-inv`

Counts

4 → 101

Calls

4 calls:

Slowest

61.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

331.0ms	(cbrt y)
312.0ms	(cbrt y)
310.0ms	(cbrt y)
58.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify9.1s

Counts

68 → 113

Calls

68 calls:

Slowest

842.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
616.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
554.0ms	(* (cbrt -1) (pow (* y -1) 1/3))
511.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
499.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

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))

rewrite275.0ms

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×	`expm1-log1p-u` `frac-times` `1-exp` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 104

Calls

4 calls:

Slowest

78.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
76.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
67.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
52.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
139.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
132.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
71.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify11.6s

Counts

71 → 116

Calls

71 calls:

Slowest

932.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
640.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
498.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
467.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
428.0ms	(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

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))

rewrite234.0ms

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×	`expm1-log1p-u` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `pow1/3` `pow-prod-down` `associate-*l/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 102

Calls

4 calls:

Slowest

89.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
66.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
57.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
19.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) 1)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

314.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) 1)))
123.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
116.0ms	(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
79.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify11.0s

Counts

69 → 114

Calls

69 calls:

Slowest

880.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
529.0ms	(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
528.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
504.0ms	(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))
462.0ms	(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune2.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes884.0ms

Accuracy

94.8% (0.3b remaining)

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

bsearch9.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

9580×

body

valid