Details

Time bar (total: 10.5s)

sample22.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify480.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (44.0ms)

IterNodesCost
099
1169
2329
3679
41489
52428
63278
74088
84758
95968
106128
done6128

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
4.9b
(/ (* y (- z t)) a)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
12.0ms
(* y (- z t))
8.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(/ (* y (- z t)) a)

series129.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
49.0ms
(- x (/ (* y (- z t)) a))
47.0ms
(/ (* y (- z t)) a)

simplify670.0ms

Counts
120 → 120
Iterations

Useful iterations: done (665.0ms)

IterNodesCost
02242333
14941853
214621469
done50001451

prune208.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt a) (cbrt a))
0.7b
(+ (- (/ (- z t) (cbrt a))) (/ (- z t) (cbrt a)))
1.5b
(* (/ y (* (cbrt a) (cbrt a))) (+ (- (/ (- z t) (cbrt a))) (/ (- z t) (cbrt a))))
5.9b
(* (/ (- z t) (cbrt a)) (/ y (* (cbrt a) (cbrt a))))

rewrite889.0ms

Algorithm
rewrite-expression-head
Rules
769×*-un-lft-identity
584×times-frac
445×add-sqr-sqrt
309×add-cube-cbrt
303×cbrt-prod
208×distribute-lft-neg-in
174×distribute-rgt-out
162×distribute-lft-out--
156×associate-*r*
126×distribute-rgt-neg-in
94×distribute-lft-out
82×difference-of-squares
72×fma-def
47×associate-*l*
36×add-exp-log
25×add-cbrt-cube
15×pow1
13×neg-mul-1 prod-exp cbrt-unprod div-inv
12×distribute-lft1-in unswap-sqr
9×cbrt-undiv div-exp
8×add-log-exp
6×pow1/3 swap-sqr
4×expm1-log1p-u frac-times associate-*r/ pow-prod-down log1p-expm1-u
3×flip3-+ frac-add *-commutative flip-+ distribute-neg-frac
2×associate-*l/ sum-log pow-sqr pow-prod-up
1×+-commutative pow2 neg-sub0 distribute-rgt-in associate-+l- associate-+r- distribute-lft-in pow-plus div-sub neg-log
Counts
4 → 522
Calls
4 calls:
6.0ms
(* (cbrt a) (cbrt a))
177.0ms
(+ (- (/ (- z t) (cbrt a))) (/ (- z t) (cbrt a)))
617.0ms
(* (/ y (* (cbrt a) (cbrt a))) (+ (- (/ (- z t) (cbrt a))) (/ (- z t) (cbrt a))))
36.0ms
(* (/ (- z t) (cbrt a)) (/ y (* (cbrt a) (cbrt a))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt a) (cbrt a))
2.0ms
(+ (- (/ (- z t) (cbrt a))) (/ (- z t) (cbrt a)))
3.0ms
(* (/ y (* (cbrt a) (cbrt a))) (+ (- (/ (- z t) (cbrt a))) (/ (- z t) (cbrt a))))
79.0ms
(* (/ (- z t) (cbrt a)) (/ y (* (cbrt a) (cbrt a))))

simplify2.3s

Counts
534 → 534
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
04267559
112126034
246324501
done50004501

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.4b
(/ y (/ a (- z t)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
382×add-sqr-sqrt
375×*-un-lft-identity
287×add-cube-cbrt
204×prod-diff
46×difference-of-squares
44×distribute-lft-out--
32×associate-/r/
26×associate-/r*
18×div-inv
15×flip3-- flip--
10×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 368
Calls
3 calls:
45.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
56.0ms
(/ y (/ a (- z t)))

simplify565.0ms

Counts
377 → 377
Iterations

Useful iterations: done (548.0ms)

IterNodesCost
066816466
1168615179
done500112880

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- z t)))
8.1b
(* (/ y a) (- z t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--r+
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×sub-neg associate-*r*
4×pow1 add-log-exp
3×flip3-- fma-neg flip--
2×expm1-log1p-u frac-times associate-*r/ prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 104
Calls
2 calls:
6.0ms
(- x (* (/ y a) (- z t)))
18.0ms
(* (/ y a) (- z t))

series101.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- x (* (/ y a) (- z t)))
54.0ms
(* (/ y a) (- z t))

simplify654.0ms

Counts
110 → 110
Iterations

Useful iterations: done (651.0ms)

IterNodesCost
02041766
14961510
215281288
done50001255

prune209.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes322.0ms

Accuracy

64.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.3b

bsearch63.0ms

Steps
ItersRangePoint
8
3.713066983026811e+65
6.642013340869958e+68
3.7574005919343346e+65
6
-2.6747694130275977e+104
-4.940402320025422e+103
-1.3995028580527438e+104

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02445
12845
done2845

end0.0ms

sample603.0ms

Algorithm
intervals
Results
300.0ms10663×body80valid