Details

sample50.0ms

Algorithm

intervals

Results

26.0ms

382×

body

valid

simplify7.0ms

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
4.7b	(* (* a z) b)

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

22.0ms	(+ (+ x (* y z)) (* t a))
361.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ x (* y z))
17.0ms	(* (* a z) b)

series201.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (+ x (* y z)) (* t a))
93.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
29.0ms	(+ x (* y z))
28.0ms	(* (* a z) b)

simplify46.0ms

Counts: 68 → 68

prune194.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* a z) b)
13.3b	(cbrt (* (* a z) b))
13.3b	(cbrt (* (* a z) b))
13.3b	(cbrt (* (* a z) b))

rewrite63.0ms

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-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

17.0ms	(* (* a z) b)
19.0ms	(cbrt (* (* a z) b))
12.0ms	(cbrt (* (* a z) b))
13.0ms	(cbrt (* (* a z) b))

series319.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* a z) b)
96.0ms	(cbrt (* (* a z) b))
97.0ms	(cbrt (* (* a z) b))
99.0ms	(cbrt (* (* a z) b))

simplify65.0ms

Counts: 57 → 57

prune221.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b	(+ x (* a (+ t (* z b))))
2.7b	(* a (+ t (* z b)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sum-log`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-+r+` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

5.0ms	(+ t (* z b))
16.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
6.0ms	(+ x (* a (+ t (* z b))))
20.0ms	(* a (+ t (* z b)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ t (* z b))
97.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
73.0ms	(+ x (* a (+ t (* z b))))
61.0ms	(* a (+ t (* z b)))

simplify37.0ms

Counts: 71 → 71

prune181.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.7b	(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
3.1b	(cbrt (+ t (* z b)))
3.1b	(cbrt (+ t (* z b)))
3.1b	(cbrt (+ t (* z b)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

146.0ms	(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
3.0ms	(cbrt (+ t (* z b)))
3.0ms	(cbrt (+ t (* z b)))
3.0ms	(cbrt (+ t (* z b)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
120.0ms	(cbrt (+ t (* z b)))
124.0ms	(cbrt (+ t (* z b)))
122.0ms	(cbrt (+ t (* z b)))

simplify97.0ms

Counts: 98 → 98

prune342.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

59.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.3b

bsearch89.0ms

Steps

Iters	Range		Point
7	1.1846653170446963e-234	1.9742642367161378e-233	1.6696320628942084e-233
8	-1.8091726529742054e-83	-7.173586699444711e-88	-4.035514617533359e-85

simplify1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

646.0ms

11917×

body

valid