Details

sample155.0ms

Algorithm

intervals

Results

80.0ms

519×

body

valid

simplify136.0ms

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
4.8b	(* (* (* x 18.0) y) z)
6.7b	(* (* (* (* x 18.0) y) z) t)

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
29.0ms	(* (* j 27.0) k)
92.0ms	(* (* (* x 18.0) y) z)
205.0ms	(* (* (* (* x 18.0) y) z) t)

series150.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
33.0ms	(* (* (* x 18.0) y) z)
75.0ms	(* (* (* (* x 18.0) y) z) t)

simplify66.0ms

Counts: 93 → 93

prune318.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
9.9b	(* (* (* x 18.0) y) (* z t))

rewrite458.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 79

Calls

4 calls:

346.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
17.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
73.0ms	(* (* (* x 18.0) y) (* z t))

series302.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
27.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
50.0ms	(* (* (* x 18.0) y) (* z t))

simplify61.0ms

Counts: 91 → 91

prune334.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.5b	(* (* j 27.0) k)
5.0b	(* (* x 18.0) (* y (* z t)))
5.1b	(* y (* z t))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 79

Calls

4 calls:

250.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
17.0ms	(* (* j 27.0) k)
54.0ms	(* (* x 18.0) (* y (* z t)))
16.0ms	(* y (* z t))

series294.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
19.0ms	(* (* j 27.0) k)
50.0ms	(* (* x 18.0) (* y (* z t)))
26.0ms	(* y (* z t))

simplify53.0ms

Counts: 91 → 91

prune349.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

5.1b	(* y (* z t))
18.6b	(cbrt (* y (* z t)))
18.6b	(cbrt (* y (* z t)))
18.6b	(cbrt (* y (* z t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 45

Calls

4 calls:

16.0ms	(* y (* z t))
11.0ms	(cbrt (* y (* z t)))
11.0ms	(cbrt (* y (* z t)))
11.0ms	(cbrt (* y (* z t)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* y (* z t))
98.0ms	(cbrt (* y (* z t)))
98.0ms	(cbrt (* y (* z t)))
97.0ms	(cbrt (* y (* z t)))

simplify51.0ms

Counts: 57 → 57

prune372.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

67.7% (1.8b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 5.8b

bsearch301.0ms

Steps

Iters	Range		Point
8	1.6798944912087423e-55	2.5873162238607735e-51	1.5324893330561349e-52
7	-1.2630423388213782e-15	-4.7391386504541836e-17	-1.0367758719729117e-16

simplify2.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.8s

16170×

body

valid