Details

Time bar (total: 10.6s)

sample92.0ms

Algorithm
intervals
Results
29.0ms169×body160valid
14.0ms522×pre80true
14.0ms266×body80nan
6.0ms35×body320valid
3.0ms52×body80valid

simplify4.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
10.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
130.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* b b) (* (* 3.0 a) c))
21.0ms
(* (* 3.0 a) c)
150.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
155.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify80.0ms

Counts
85 → 85

prune275.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite381.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
34.0ms
(* (* 3.0 a) c)
30.0ms
(* 3.0 (* a c))
121.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
182.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series615.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 3.0 a) c)
32.0ms
(* 3.0 (* a c))
281.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
269.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify141.0ms

Counts
169 → 169

prune619.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 3.0 (* a c))
0.3b
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.4b
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
356×times-frac
266×add-sqr-sqrt
240×*-un-lft-identity
154×add-cube-cbrt
113×add-exp-log
88×associate-*r*
73×add-cbrt-cube
57×div-exp
42×distribute-lft-out-- difference-of-squares
32×cbrt-undiv
30×associate-/l*
29×prod-exp
27×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×cbrt-unprod
15×associate-/r/
14×div-inv
11×pow1
8×unswap-sqr
7×flip3-- flip--
5×rec-exp 1-exp
4×pow-prod-down associate-/r* add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 330
Calls
4 calls:
18.0ms
(/ 3.0 (* a c))
123.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
36.0ms
(* (* 3.0 a) c)
276.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series525.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 3.0 (* a c))
193.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
24.0ms
(* (* 3.0 a) c)
271.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify115.0ms

Counts
342 → 342

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (* (* 1 a) c) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
32×add-cbrt-cube
18×prod-exp
13×add-sqr-sqrt cbrt-unprod
11×pow1 *-un-lft-identity
10×associate-*r*
8×div-exp
7×add-cube-cbrt
6×cbrt-undiv add-log-exp
4×associate-*r/ associate-*l* pow-prod-down
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in 1-exp associate-/r/ *-commutative distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg times-frac diff-log clear-num associate-/r* sqrt-prod div-inv associate-/l* unswap-sqr
Counts
4 → 87
Calls
4 calls:
14.0ms
(- (* b b) (* (* 3.0 a) c))
150.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
27.0ms
(* (* 3.0 a) c)
63.0ms
(/ (* (* 1 a) c) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (* b b) (* (* 3.0 a) c))
139.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
35.0ms
(* (* 3.0 a) c)
199.0ms
(/ (* (* 1 a) c) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify82.0ms

Counts
99 → 99

prune332.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify124.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.2s8362×body80nan
777.0ms4815×body160valid
593.0ms16362×pre80true
341.0ms1373×body320valid
113.0ms1812×body80valid