Details

Time bar (total: 21.6s)

sample58.0ms

Algorithm
intervals
Results
22.0ms358×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.1b
(/ (- (* x y) (* z t)) a)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
20.0ms
(- (* x y) (* z t))
34.0ms
(/ (- (* x y) (* z t)) a)

series149.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- (* x y) (* z t))
83.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: done (2.4s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune226.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
3.6b
(/ (* x y) a)
5.0b
(/ (* t z) a)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
26.0ms
(- (/ (* x y) a) (/ (* t z) a))
15.0ms
(/ (* x y) a)
17.0ms
(/ (* t z) a)

series119.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- (/ (* x y) a) (/ (* t z) a))
22.0ms
(/ (* x y) a)
22.0ms
(/ (* t z) a)

simplify1.6s

Counts
130 → 130
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01932987
14692420
215121968
done50001660

prune366.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- (/ z (cbrt a))) (/ z (cbrt a)))
1.5b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
2.7b
(fma (- (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)) (/ x (/ a y)))
3.3b
(/ x (/ a y))

rewrite651.0ms

Algorithm
rewrite-expression-head
Rules
323×times-frac
268×*-un-lft-identity
220×add-cube-cbrt
200×add-sqr-sqrt
122×cbrt-prod
104×distribute-lft-neg-in
82×distribute-rgt-out
71×associate-*r*
66×distribute-rgt-neg-in
48×fma-def
46×distribute-lft-out
18×add-exp-log
16×add-cbrt-cube div-inv
13×associate-/r*
9×neg-mul-1
8×distribute-lft1-in add-log-exp
7×associate-*l*
6×pow1
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×frac-times flip3-+ associate-*r/ frac-add flip-+ distribute-neg-frac associate-/l*
2×sum-log unswap-sqr
1×+-commutative neg-sub0 distribute-rgt-in associate-+l- frac-2neg distribute-lft-in pow-prod-down neg-log associate-*l/ clear-num associate-/r/ *-commutative fma-udef
Counts
4 → 320
Calls
4 calls:
132.0ms
(+ (- (/ z (cbrt a))) (/ z (cbrt a)))
471.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
0.0ms
(fma (- (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)) (/ x (/ a y)))
22.0ms
(/ x (/ a y))

series445.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (- (/ z (cbrt a))) (/ z (cbrt a)))
6.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
396.0ms
(fma (- (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)) (/ x (/ a y)))
40.0ms
(/ x (/ a y))

simplify3.6s

Counts
332 → 332
Iterations

Useful iterations: done (3.6s)

IterNodesCost
04274197
110873326
234642570
done50012011

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- (/ z (cbrt a))) (/ z (cbrt a)))
1.5b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
2.7b
(fma (- (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)) (/ 1 (/ (/ a y) x)))
3.3b
(/ (/ a y) x)

rewrite805.0ms

Algorithm
rewrite-expression-head
Rules
323×times-frac
268×*-un-lft-identity
220×add-cube-cbrt
200×add-sqr-sqrt
122×cbrt-prod
104×distribute-lft-neg-in
82×distribute-rgt-out
71×associate-*r*
66×distribute-rgt-neg-in
48×fma-def
46×distribute-lft-out
18×add-exp-log
16×add-cbrt-cube div-inv
13×associate-/l*
9×neg-mul-1
8×distribute-lft1-in add-log-exp
7×associate-*l*
6×pow1
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×frac-times flip3-+ associate-*r/ frac-add associate-/r* flip-+ distribute-neg-frac
2×sum-log unswap-sqr
1×+-commutative neg-sub0 distribute-rgt-in associate-+l- frac-2neg distribute-lft-in pow-prod-down neg-log associate-*l/ clear-num *-commutative fma-udef associate-/l/
Counts
4 → 320
Calls
4 calls:
174.0ms
(+ (- (/ z (cbrt a))) (/ z (cbrt a)))
553.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
1.0ms
(fma (- (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)) (/ 1 (/ (/ a y) x)))
25.0ms
(/ (/ a y) x)

series440.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (- (/ z (cbrt a))) (/ z (cbrt a)))
4.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
412.0ms
(fma (- (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)) (/ 1 (/ (/ a y) x)))
22.0ms
(/ (/ a y) x)

simplify3.8s

Counts
332 → 332
Iterations

Useful iterations: done (3.8s)

IterNodesCost
04294203
111073350
233032608
done50012021

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes631.0ms

Accuracy

37.2% (4.8b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 7.7b

bsearch203.0ms

Steps
ItersRangePoint
9
2.4348116514958283e-52
5.573175902686692e-47
2.0400753527695084e-47
8
-1.1858716413504363e+205
-1.833753074916076e+200
-3.153710049135351e+201

simplify12.0ms

Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
043108
160106
done60106

end0.0ms

sample1.6s

Algorithm
intervals
Results
717.0ms11318×body80valid