Details

Time bar (total: 18.4s)

sample24.0ms

Algorithm
intervals
Results
11.0ms332×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5001
123108
111772
10955
9470
8301
7217
6172
5128
481
343
223
114
08

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z x) t)
6.2b
(fma (/ (- z x) t) y x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
associate-/r*
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 52
Calls
2 calls:
17.0ms
(/ (- z x) t)
1.0ms
(fma (/ (- z x) t) y x)

series102.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- z x) t)
62.0ms
(fma (/ (- z x) t) y x)

simplify1.4s

Counts
58 → 58
Iterations
IterNodes
done5000
31327
2445
1200
095

prune336.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (- z x) t) y) x)
0.0b
(/ (- z x) t)
6.5b
(* (/ (- z x) t) y)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-cbrt-cube add-exp-log
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
expm1-log1p-u associate-/r* associate-*r* insert-posit16 log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
+-commutative clear-num sum-log fma-def frac-2neg flip3-+ flip3-- div-sub pow-prod-down associate-*l/ *-commutative flip-+ flip--
Counts
3 → 97
Calls
3 calls:
28.0ms
(+ (* (/ (- z x) t) y) x)
34.0ms
(/ (- z x) t)
36.0ms
(* (/ (- z x) t) y)

series186.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (* (/ (- z x) t) y) x)
49.0ms
(/ (- z x) t)
72.0ms
(* (/ (- z x) t) y)

simplify1.8s

Counts
106 → 106
Iterations
IterNodes
done5000
21100
1370
0147

prune501.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.8b
(* (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))) (* (/ (cbrt (- z x)) (cbrt t)) y))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
cbrt-prod pow1
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*l*
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow1/3 pow-prod-down associate-*l/
frac-times times-frac associate-*r* associate-*r/ *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
164.0ms
(* (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))) (* (/ (cbrt (- z x)) (cbrt t)) y))

series1.3s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt t)
267.0ms
(cbrt t)
684.0ms
(cbrt t)
109.0ms
(* (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))) (* (/ (cbrt (- z x)) (cbrt t)) y))

simplify1.8s

Counts
106 → 106
Iterations
IterNodes
done5001
21919
1397
0131

prune532.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ z (/ t y)) (- x (/ x (/ t y))))
4.2b
(/ z (/ t y))
4.2b
(/ x (/ t y))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
414×times-frac
276×*-un-lft-identity
271×add-sqr-sqrt add-cube-cbrt
134×associate-+r+
132×prod-diff
44×fma-def
26×associate-/r* div-inv
13×add-cbrt-cube add-exp-log
add-log-exp
cbrt-undiv div-exp associate-/r/ associate-/l*
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
clear-num sum-log frac-2neg frac-add distribute-lft-out
+-commutative associate-+r- sub-neg flip3-+ flip3-- diff-log flip-+ flip-- distribute-lft-out--
Counts
3 → 344
Calls
3 calls:
206.0ms
(+ (/ z (/ t y)) (- x (/ x (/ t y))))
17.0ms
(/ z (/ t y))
10.0ms
(/ x (/ t y))

series124.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (/ z (/ t y)) (- x (/ x (/ t y))))
25.0ms
(/ z (/ t y))
42.0ms
(/ x (/ t y))

simplify1.6s

Counts
353 → 353
Iterations
IterNodes
done5000
11781
0650

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample945.0ms

Algorithm
intervals
Results
582.0ms10622×body80valid