Details

Time bar (total: 29.4s)

sample43.0ms

Algorithm
intervals
Results
28.0ms291×body80valid
1.0msbody640valid

simplify106.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
106.0ms
(+ (+ (* d1 10) (* d1 d2)) (* d1 20))

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ 30 d2) d1)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*l*
pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
associate-*l/
expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
Slowest
27.0ms
(* (+ 30 d2) d1)

series30.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
30.0ms
(* (+ 30 d2) d1)

simplify1.1s

Counts
14 → 27
Calls
14 calls:
Slowest
601.0ms
(* (* (* (+ 30 d2) (+ 30 d2)) (+ 30 d2)) (* (* d1 d1) d1))
203.0ms
(* (+ (pow 30 3) (pow d2 3)) d1)
203.0ms
(* (- (* 30 30) (* d2 d2)) d1)
22.0ms
(+ (* d2 d1) (* 30 d1))
15.0ms
(* (+ 30 d2) d1)

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ (* d1 10) (* d1 d2)) (* d1 20))
0.0b
(+ (* d1 10) (* d1 d2))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
fma-def
sum-log distribute-lft-out
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
associate-+l+
Counts
2 → 37
Calls
2 calls:
Slowest
33.0ms
(+ (+ (* d1 10) (* d1 d2)) (* d1 20))
15.0ms
(+ (* d1 10) (* d1 d2))

series85.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(+ (* d1 10) (* d1 d2))
42.0ms
(+ (+ (* d1 10) (* d1 d2)) (* d1 20))

simplify2.0s

Counts
14 → 43
Calls
14 calls:
Slowest
1.2s
(* (* (exp (* d1 10)) (exp (* d1 d2))) (exp (* d1 20)))
513.0ms
(* (exp (+ (* d1 10) (* d1 d2))) (exp (* d1 20)))
177.0ms
(* (exp (* d1 10)) (exp (* d1 d2)))
25.0ms
(+ (* d2 d1) (* 10 d1))
23.0ms
(+ (* d2 d1) (* 10 d1))

prune388.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

11.2b
(/ (* (- 900 (* d2 d2)) d1) (- 30 d2))
5.0b
(* (- 900 (* d2 d2)) d1)
0.0b
(- 900 (* d2 d2))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
10×add-cbrt-cube add-exp-log
add-cube-cbrt
pow1 associate-/r* times-frac add-log-exp
flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
expm1-log1p-u fma-neg associate-*r* prod-diff insert-posit16 log1p-expm1-u
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- associate-/l/
clear-num sub-neg frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 78
Calls
3 calls:
Slowest
34.0ms
(/ (* (- 900 (* d2 d2)) d1) (- 30 d2))
30.0ms
(* (- 900 (* d2 d2)) d1)
9.0ms
(- 900 (* d2 d2))

series221.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
83.0ms
(/ (* (- 900 (* d2 d2)) d1) (- 30 d2))
74.0ms
(- 900 (* d2 d2))
64.0ms
(* (- 900 (* d2 d2)) d1)

simplify3.8s

Counts
56 → 87
Calls
56 calls:
Slowest
382.0ms
(/ (* (* (* (- 900 (* d2 d2)) d1) (* (- 900 (* d2 d2)) d1)) (* (- 900 (* d2 d2)) d1)) (* (* (- 30 d2) (- 30 d2)) (- 30 d2)))
378.0ms
(* (* (* (- 900 (* d2 d2)) (- 900 (* d2 d2))) (- 900 (* d2 d2))) (* (* d1 d1) d1))
349.0ms
(* (- (* 900 900) (* (* d2 d2) (* d2 d2))) d1)
317.0ms
(* (- (* 900 900) (* (* d2 d2) (* d2 d2))) d1)
261.0ms
(/ (* (* (* (- 900 (* d2 d2)) (- 900 (* d2 d2))) (- 900 (* d2 d2))) (* (* d1 d1) d1)) (* (* (- 30 d2) (- 30 d2)) (- 30 d2)))

prune638.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

17.3b
(/ (- 900 (* d2 d2)) (/ (- 30 d2) d1))
0.0b
(- 900 (* d2 d2))
0.0b
(/ (- 30 d2) d1)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
166×times-frac
139×add-sqr-sqrt
118×*-un-lft-identity
80×add-cube-cbrt
40×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
10×add-cbrt-cube add-exp-log
associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l/
expm1-log1p-u pow1 flip3-- fma-neg prod-diff insert-posit16 log1p-expm1-u flip--
clear-num frac-2neg div-sub
sub-neg diff-log associate-/r/
Counts
3 → 183
Calls
3 calls:
Slowest
36.0ms
(/ (- 900 (* d2 d2)) (/ (- 30 d2) d1))
21.0ms
(/ (- 30 d2) d1)
9.0ms
(- 900 (* d2 d2))

series185.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
83.0ms
(/ (- 900 (* d2 d2)) (/ (- 30 d2) d1))
51.0ms
(/ (- 30 d2) d1)
50.0ms
(- 900 (* d2 d2))

simplify17.6s

Counts
241 → 192
Calls
241 calls:
Slowest
379.0ms
(- (* 900 900) (* (* d2 d2) (* d2 d2)))
339.0ms
(- (pow 900 3) (pow (* d2 d2) 3))
335.0ms
(/ (* (cbrt (- 900 (* d2 d2))) (cbrt (- 900 (* d2 d2)))) (/ (* (cbrt (- 30 d2)) (cbrt (- 30 d2))) (* (cbrt d1) (cbrt d1))))
291.0ms
(/ (* (cbrt (- 900 (* d2 d2))) (cbrt (- 900 (* d2 d2)))) (/ 1 (* (cbrt d1) (cbrt d1))))
260.0ms
(/ (- (sqrt 900) d2) (/ (- 30 d2) (cbrt d1)))

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
866.0ms8989×body80valid
48.0ms46×body640valid
29.0ms73×body1280valid
6.0ms25×body320valid
1.0msbody160valid