Details

Time bar (total: 12.1s)

sample35.0ms

Algorithm
intervals
Results
16.0ms347×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 5 (88.0ms)

IterNodesCost
099
1169
2329
3719
41489
52208
63078
74038
84578
95558
105718
done5718

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

3.5b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- t z) x)

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(fma (/ y a) (- t z) x)

simplify892.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
024154
141154
294138
3269123
41175123
done5000123

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.9b
(/ (* y (- z t)) a)

rewrite68.0ms

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:
13.0ms
(- x (/ (* y (- z t)) a))
23.0ms
(* y (- z t))
29.0ms
(/ (* y (- z t)) a)

series184.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (/ (* y (- z t)) a))
39.0ms
(* y (- z t))
60.0ms
(/ (* y (- z t)) a)

simplify1.0s

Counts
120 → 120
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02242333
15031853
214481469
done50001292

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- y) (/ a (- z t))))
0.0b
(/ a (- z t))
6.7b
(/ (- y) (/ a (- z t)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
390×times-frac
255×*-un-lft-identity
253×add-sqr-sqrt
179×add-cube-cbrt
66×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
26×associate-/r*
25×associate-/r/
22×neg-mul-1
13×div-inv associate-/l*
12×flip3-- flip--
10×add-exp-log add-cbrt-cube
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def distribute-frac-neg log1p-expm1-u
2×neg-sub0 frac-2neg div-sub clear-num
1×+-commutative associate-+r- flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 319
Calls
3 calls:
85.0ms
(+ x (/ (- y) (/ a (- z t))))
11.0ms
(/ a (- z t))
31.0ms
(/ (- y) (/ a (- z t)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ x (/ (- y) (/ a (- z t))))
35.0ms
(/ a (- z t))
88.0ms
(/ (- y) (/ a (- z t)))

simplify1.7s

Counts
328 → 328
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04565636
111005228
239515097
done50005092

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- z t) a) y))
0.0b
(/ (- z t) a)
7.1b
(* (/ (- z t) a) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 100
Calls
3 calls:
6.0ms
(- x (* (/ (- z t) a) y))
18.0ms
(/ (- z t) a)
29.0ms
(* (/ (- z t) a) y)

series164.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(- x (* (/ (- z t) a) y))
30.0ms
(/ (- z t) a)
60.0ms
(* (/ (- z t) a) y)

simplify2.8s

Counts
109 → 109
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01571206
13681155
210411063
342351032
done50001032

prune421.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes329.0ms

Accuracy

39% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.6b

bsearch159.0ms

Steps
ItersRangePoint
10
2.5809242965222377e-83
1.4925139665533896e-65
5.30257000648264e-78
7
-2.6548093162405227e-112
-2.335379401697989e-114
-2.599265967201578e-112

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02538
12936
done2936

end1.0ms

sample1.3s

Algorithm
intervals
Results
761.0ms10523×body80valid