Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

268×

body

valid

simplify105.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.2b	(+ (* x y) (* z (- t a)))
22.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `add-log-exp`
4×	`associate-+r+` `associate-*r/`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 98

Calls

4 calls:

20.0ms	(* z (- t a))
25.0ms	(* z (- b y))
10.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* z (- t a))
41.0ms	(* z (- b y))
48.0ms	(+ (* x y) (* z (- t a)))
361.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify52.0ms

Counts: 110 → 110

prune317.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
1.2b	(+ (* x y) (* z (- t a)))
22.6b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

20.0ms	(* z (- b y))
10.0ms	(/ 1 (+ y (* z (- b y))))
15.0ms	(+ (* x y) (* z (- t a)))
40.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* z (- b y))
89.0ms	(/ 1 (+ y (* z (- b y))))
48.0ms	(+ (* x y) (* z (- t a)))
358.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify58.0ms

Counts: 128 → 128

prune297.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.9b

localize21.0ms

Local error

Found 4 expressions with local error:

15.3b	(cbrt (* z (- t a)))
15.3b	(cbrt (* z (- t a)))
15.3b	(cbrt (* z (- t a)))
22.8b	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `associate-/r` `flip--` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

7.0ms	(cbrt (* z (- t a)))
7.0ms	(cbrt (* z (- t a)))
7.0ms	(cbrt (* z (- t a)))
38.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

series929.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (* z (- t a)))
167.0ms	(cbrt (* z (- t a)))
165.0ms	(cbrt (* z (- t a)))
429.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

simplify96.0ms

Counts: 76 → 76

prune303.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 22.9b

localize34.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
22.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
22.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
22.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 117

Calls

4 calls:

7.0ms	(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
32.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
34.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
33.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series1.9s

Counts

4 → 12

Calls

4 calls:

872.0ms	(cbrt (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
351.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
348.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
351.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify172.0ms

Counts: 129 → 129

prune516.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 22.9b

regimes384.0ms

Accuracy

0% (0.6b remaining)

Error of 23.8b against oracle of 23.2b and baseline of 23.8b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

790.0ms

8404×

body

valid