Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

337×

body

valid

simplify106.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
8.6b	(* (/ x y) (- z t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

16.0ms	(+ (* (/ x y) (- z t)) t)
28.0ms	(* (/ x y) (- z t))

series105.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* (/ x y) (- z t)) t)
59.0ms	(* (/ x y) (- z t))

simplify34.0ms

Counts: 63 → 63

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

8.6b	(* (/ x y) (- z t))
8.6b	(cbrt (* (/ x y) (- z t)))
8.6b	(cbrt (* (/ x y) (- z t)))
8.6b	(cbrt (* (/ x y) (- z t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

30.0ms	(* (/ x y) (- z t))
10.0ms	(cbrt (* (/ x y) (- z t)))
16.0ms	(cbrt (* (/ x y) (- z t)))
10.0ms	(cbrt (* (/ x y) (- z t)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (/ x y) (- z t))
135.0ms	(cbrt (* (/ x y) (- z t)))
134.0ms	(cbrt (* (/ x y) (- z t)))
141.0ms	(cbrt (* (/ x y) (- z t)))

simplify34.0ms

Counts: 96 → 96

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t))))
13.7b	(cbrt (/ x y))
13.7b	(cbrt (/ x y))
13.7b	(cbrt (/ x y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
40×	`cbrt-prod`
29×	`frac-times`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-*r/`
13×	`associate-*l/`
8×	`flip3--` `flip--`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`div-inv`

Counts

4 → 98

Calls

4 calls:

63.0ms	(cbrt (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t))))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series360.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t))))
88.0ms	(cbrt (/ x y))
64.0ms	(cbrt (/ x y))
70.0ms	(cbrt (/ x y))

simplify86.0ms

Counts: 110 → 110

prune436.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
6.6b	(* x (/ (- z t) y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

13.0ms	(+ (* x (/ (- z t) y)) t)
16.0ms	(/ (- z t) y)
33.0ms	(* x (/ (- z t) y))

series129.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* x (/ (- z t) y)) t)
29.0ms	(/ (- z t) y)
57.0ms	(* x (/ (- z t) y))

simplify37.0ms

Counts: 96 → 96

prune185.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

47.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.9b

bsearch85.0ms

Steps

Iters	Range		Point
10	1.5319929683350882e-65	5.317179122404824e-51	5.25404547574662e-51
9	-3.590335901074318e-90	-7.67348442351211e-96	-3.55427706225547e-90

simplify1.0ms

end0.0ms

sample883.0ms

Algorithm

intervals

Results

406.0ms

10691×

body

valid