Details

Time bar (total: 21.6s)

sample46.0ms

Algorithm
intervals
Results
29.0ms290×body80valid
1.0ms3×body1280valid
1.0ms2×body640valid
0.0ms1×body160valid

simplify97.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
97.0ms
(+ (+ (* d1 10) (* d1 d2)) (* d1 20))

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
Slowest
20.0ms
(* d1 (+ d2 30))

series44.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(* d1 (+ d2 30))

simplify1.2s

Counts
29 → 27
Calls
29 calls:
Slowest
260.0ms
(* d1 (+ (pow d2 3) (pow 30 3)))
212.0ms
(* d1 (- (* d2 d2) (* 30 30)))
168.0ms
(* (* (* d1 (+ d2 30)) (* d1 (+ d2 30))) (* d1 (+ d2 30)))
163.0ms
(* (* (* d1 d1) d1) (* (* (+ d2 30) (+ d2 30)) (+ d2 30)))
104.0ms
(exp (* d1 (+ d2 30)))

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* d2 d1) (* 30 d1))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ distribute-rgt-out add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 13
Calls
1 calls:
Slowest
14.0ms
(+ (* d2 d1) (* 30 d1))

series54.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
54.0ms
(+ (* d2 d1) (* 30 d1))

simplify1.6s

Counts
17 → 16
Calls
17 calls:
Slowest
368.0ms
(+ (* (* d2 d1) (* d2 d1)) (- (* (* 30 d1) (* 30 d1)) (* (* d2 d1) (* 30 d1))))
336.0ms
(- (* (* d2 d1) (* d2 d1)) (* (* 30 d1) (* 30 d1)))
234.0ms
(+ (pow (* d2 d1) 3) (pow (* 30 d1) 3))
227.0ms
(* (exp (* d2 d1)) (exp (* 30 d1)))
132.0ms
(exp (+ (* d2 d1) (* 30 d1)))

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

10.7b
(/ (* d1 (+ (* d2 d2) -900)) (- d2 30))
3.3b
(* d1 (+ (* d2 d2) -900))
0.0b
(+ (* d2 d2) -900)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-/r* times-frac add-log-exp
4×associate-*r/
3×flip3-+ associate-*r* associate-*l* flip-+ insert-posit16
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in flip3-- pow-prod-down *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
3 → 65
Calls
3 calls:
Slowest
30.0ms
(* d1 (+ (* d2 d2) -900))
18.0ms
(/ (* d1 (+ (* d2 d2) -900)) (- d2 30))
9.0ms
(+ (* d2 d2) -900)

series232.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
92.0ms
(/ (* d1 (+ (* d2 d2) -900)) (- d2 30))
88.0ms
(* d1 (+ (* d2 d2) -900))
52.0ms
(+ (* d2 d2) -900)

simplify7.1s

Counts
83 → 74
Calls
83 calls:
Slowest
739.0ms
(* (* (+ (* d2 d2) -900) (+ (* d2 d2) -900)) (+ (* d2 d2) -900))
381.0ms
(/ (* (* (* d1 (+ (* d2 d2) -900)) (* d1 (+ (* d2 d2) -900))) (* d1 (+ (* d2 d2) -900))) (* (* (- d2 30) (- d2 30)) (- d2 30)))
359.0ms
(/ (* (* (* d1 d1) d1) (* (* (+ (* d2 d2) -900) (+ (* d2 d2) -900)) (+ (* d2 d2) -900))) (* (* (- d2 30) (- d2 30)) (- d2 30)))
304.0ms
(* (- d2 30) (+ (* (* d2 d2) (* d2 d2)) (- (* -900 -900) (* (* d2 d2) -900))))
288.0ms
(exp (* d1 (+ (* d2 d2) -900)))

prune581.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* d1 (sqrt (+ d2 30))) (sqrt (+ d2 30)))
0.1b
(* d1 (sqrt (+ d2 30)))
0.0b
(sqrt (+ d2 30))
0.0b
(sqrt (+ d2 30))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*r*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
Slowest
43.0ms
(* (* d1 (sqrt (+ d2 30))) (sqrt (+ d2 30)))
14.0ms
(* d1 (sqrt (+ d2 30)))
7.0ms
(sqrt (+ d2 30))
7.0ms
(sqrt (+ d2 30))

series228.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(* d1 (sqrt (+ d2 30)))
56.0ms
(sqrt (+ d2 30))
53.0ms
(sqrt (+ d2 30))
39.0ms
(* (* d1 (sqrt (+ d2 30))) (sqrt (+ d2 30)))

simplify7.9s

Counts
115 → 103
Calls
115 calls:
Slowest
562.0ms
(* (* d1 (sqrt (- (* d2 d2) (* 30 30)))) (sqrt (+ (pow d2 3) (pow 30 3))))
507.0ms
(* (* d1 (sqrt (+ (pow d2 3) (pow 30 3)))) (sqrt (+ (pow d2 3) (pow 30 3))))
506.0ms
(* (* d1 (sqrt (+ (pow d2 3) (pow 30 3)))) (sqrt (- (* d2 d2) (* 30 30))))
452.0ms
(* (* d1 (sqrt (+ (pow d2 3) (pow 30 3)))) (sqrt (+ d2 30)))
417.0ms
(* d1 (sqrt (+ (pow d2 3) (pow 30 3))))

prune727.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
800.0ms8949×body80valid
38.0ms19×body160valid
22.0ms60×body1280valid
16.0ms59×body640valid
5.0ms21×body320valid