Details

Time bar (total: 26.7s)

sample27.0ms

Algorithm
intervals
Results
17.0ms283×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid

simplify54.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
54.0ms
(+ (+ (* d1 10) (* d1 d2)) (* d1 20))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30))

rewrite27.0ms

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
26.0ms
(* d1 (+ d2 30))

series40.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
40.0ms
(* d1 (+ d2 30))

simplify319.0ms

Counts
18 → 27
Calls
18 calls:
Slowest
133.0ms
(* (* (* d1 d1) d1) (* (* (+ d2 30) (+ d2 30)) (+ d2 30)))
99.0ms
(+ (* d2 d2) (- (* 30 30) (* d2 30)))
12.0ms
(+ (* d2 d1) (* 30 d1))
10.0ms
(* d1 (+ d2 30))
10.0ms
(+ (* d2 d1) (* 30 d1))

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

8.0b
(/ (* d1 (- (* d2 d2) (* 30 30))) (- d2 30))
4.8b
(* d1 (- (* d2 d2) (* 30 30)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac
4×pow1 associate-*r* associate-*r/
3×flip3-- associate-*l* flip-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 distribute-lft-out-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 56
Calls
2 calls:
Slowest
44.0ms
(* d1 (- (* d2 d2) (* 30 30)))
36.0ms
(/ (* d1 (- (* d2 d2) (* 30 30))) (- d2 30))

series197.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
108.0ms
(/ (* d1 (- (* d2 d2) (* 30 30))) (- d2 30))
88.0ms
(* d1 (- (* d2 d2) (* 30 30)))

simplify4.8s

Counts
46 → 62
Calls
46 calls:
Slowest
532.0ms
(- (+ (log d1) (log (- (* d2 d2) (* 30 30)))) (log (- d2 30)))
515.0ms
(/ (* (* (* d1 (- (* d2 d2) (* 30 30))) (* d1 (- (* d2 d2) (* 30 30)))) (* d1 (- (* d2 d2) (* 30 30)))) (* (* (- d2 30) (- d2 30)) (- d2 30)))
382.0ms
(/ (- (* d2 d2) (* 30 30)) (- d2 30))
358.0ms
(/ (* (* (* d1 d1) d1) (* (* (- (* d2 d2) (* 30 30)) (- (* d2 d2) (* 30 30))) (- (* d2 d2) (* 30 30)))) (* (* (- d2 30) (- d2 30)) (- d2 30)))
336.0ms
(* d1 (- (pow (* d2 d2) 3) (pow (* 30 30) 3)))

prune410.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
11×add-sqr-sqrt *-un-lft-identity
10×associate-*r/
9×pow1 add-cbrt-cube add-exp-log sqrt-prod
7×flip3-+ add-cube-cbrt flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative insert-posit16 distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
Slowest
31.0ms
(* (* d1 (sqrt (+ d2 30))) (sqrt (+ d2 30)))
27.0ms
(* d1 (sqrt (+ d2 30)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
73.0ms
(* d1 (sqrt (+ d2 30)))
45.0ms
(* (* d1 (sqrt (+ d2 30))) (sqrt (+ d2 30)))

simplify3.7s

Counts
49 → 63
Calls
49 calls:
Slowest
573.0ms
(* (* d1 (sqrt (+ (pow d2 3) (pow 30 3)))) (sqrt (- (* d2 d2) (* 30 30))))
544.0ms
(* (* d1 (sqrt (- (* d2 d2) (* 30 30)))) (sqrt (+ (pow d2 3) (pow 30 3))))
438.0ms
(* (* d1 (sqrt (+ (pow d2 3) (pow 30 3)))) (sqrt (+ d2 30)))
404.0ms
(* (* d1 (sqrt (+ (pow d2 3) (pow 30 3)))) (sqrt (+ (pow d2 3) (pow 30 3))))
235.0ms
(* (* (* d1 d1) d1) (* (* (sqrt (+ d2 30)) (sqrt (+ d2 30))) (sqrt (+ d2 30))))

prune466.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

21.3b
(/ (* d1 (+ (* (* d2 d2) (* d2 d2)) -810000)) (* (- d2 30) (+ (* d2 d2) (* 30 30))))
2.4b
(* d1 (+ (* (* d2 d2) (* d2 d2)) -810000))
0.1b
(* (* d2 d2) (* d2 d2))
0.1b
(* (- d2 30) (+ (* d2 d2) (* 30 30)))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
119×pow1
36×pow-prod-up
32×add-cbrt-cube add-exp-log
25×pow-prod-down
22×pow-sqr
18×pow-plus
14×add-sqr-sqrt prod-exp cbrt-unprod
13×pow2
10×*-un-lft-identity
9×associate-*l*
8×frac-times flip3-+ associate-*r/ associate-/r/ add-cube-cbrt flip-+
7×associate-*r*
6×flip3-- flip--
4×cbrt-undiv div-exp associate-*l/ insert-posit16 add-log-exp
3×*-commutative unswap-sqr
2×distribute-rgt-in distribute-lft-in associate-/l/
1×clear-num associate-/r* frac-2neg times-frac swap-sqr div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 150
Calls
4 calls:
Slowest
97.0ms
(/ (* d1 (+ (* (* d2 d2) (* d2 d2)) -810000)) (* (- d2 30) (+ (* d2 d2) (* 30 30))))
97.0ms
(* d1 (+ (* (* d2 d2) (* d2 d2)) -810000))
26.0ms
(* (- d2 30) (+ (* d2 d2) (* 30 30)))
22.0ms
(* (* d2 d2) (* d2 d2))

series495.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
241.0ms
(/ (* d1 (+ (* (* d2 d2) (* d2 d2)) -810000)) (* (- d2 30) (+ (* d2 d2) (* 30 30))))
169.0ms
(* d1 (+ (* (* d2 d2) (* d2 d2)) -810000))
60.0ms
(* (* d2 d2) (* d2 d2))
25.0ms
(* (- d2 30) (+ (* d2 d2) (* 30 30)))

simplify12.7s

Counts
139 → 162
Calls
139 calls:
Slowest
691.0ms
(* (+ d2 30) (+ (* (* d2 d2) (* d2 d2)) (- (* (* 30 30) (* 30 30)) (* (* d2 d2) (* 30 30)))))
551.0ms
(* (- (* d2 d2) (* 30 30)) (- (* (* d2 d2) (* d2 d2)) (* (* 30 30) (* 30 30))))
494.0ms
(* d1 (+ (pow (* (* d2 d2) (* d2 d2)) 3) (pow -810000 3)))
478.0ms
(+ (* (* (* d2 d2) (* d2 d2)) (* (* d2 d2) (* d2 d2))) (- (* -810000 -810000) (* (* (* d2 d2) (* d2 d2)) -810000)))
450.0ms
(- (log (* d1 (+ (* (* d2 d2) (* d2 d2)) -810000))) (+ (log (- d2 30)) (log (+ (* d2 d2) (* 30 30)))))

prune1.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes98.0ms

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
799.0ms9023×body80valid
24.0ms66×body1280valid
12.0ms43×body640valid
3.0ms15×body320valid
2.0ms17×body160valid