Details

Time bar (total: 9.9s)

sample38.0ms

Algorithm
intervals
Results
23.0ms277×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2002
121673
11892
10514
9408
8343
7276
6198
5139
494
358
233
117
010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 51
Calls
2 calls:
11.0ms
(/ t (- a z))
0.0ms
(fma (- y z) (/ t (- a z)) x)

series143.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ t (- a z))
106.0ms
(fma (- y z) (/ t (- a z)) x)

simplify629.0ms

Counts
57 → 57
Iterations
IterNodes
done2000
31406
2456
1178
094

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* t (/ 1 (- a z)))
3.6b
(fma (- y z) (* t (/ 1 (- a z))) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod div-inv flip--
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 102
Calls
3 calls:
9.0ms
(/ 1 (- a z))
27.0ms
(* t (/ 1 (- a z)))
0.0ms
(fma (- y z) (* t (/ 1 (- a z))) x)

series200.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ 1 (- a z))
47.0ms
(* t (/ 1 (- a z)))
103.0ms
(fma (- y z) (* t (/ 1 (- a z))) x)

simplify738.0ms

Counts
111 → 111
Iterations
IterNodes
done2000
31760
2799
1304
0135

prune427.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.6b
(fma (- y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- a z))) x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- a z))) x)

series934.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt t)
254.0ms
(cbrt t)
257.0ms
(cbrt t)
141.0ms
(fma (- y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- a z))) x)

simplify578.0ms

Counts
65 → 65
Iterations
IterNodes
done2005
3672
2211
192
051

prune354.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

3.6b
(fma (- y z) (* (* (cbrt (* t (/ 1 (- a z)))) (cbrt (* t (/ 1 (- a z))))) (cbrt (* t (/ 1 (- a z))))) x)
15.8b
(cbrt (* t (/ 1 (- a z))))
15.8b
(cbrt (* t (/ 1 (- a z))))
15.8b
(cbrt (* t (/ 1 (- a z))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-div
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r/ un-div-inv
1×fma-udef
Counts
4 → 53
Calls
4 calls:
0.0ms
(fma (- y z) (* (* (cbrt (* t (/ 1 (- a z)))) (cbrt (* t (/ 1 (- a z))))) (cbrt (* t (/ 1 (- a z))))) x)
10.0ms
(cbrt (* t (/ 1 (- a z))))
17.0ms
(cbrt (* t (/ 1 (- a z))))
11.0ms
(cbrt (* t (/ 1 (- a z))))

series902.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(fma (- y z) (* (* (cbrt (* t (/ 1 (- a z)))) (cbrt (* t (/ 1 (- a z))))) (cbrt (* t (/ 1 (- a z))))) x)
231.0ms
(cbrt (* t (/ 1 (- a z))))
260.0ms
(cbrt (* t (/ 1 (- a z))))
257.0ms
(cbrt (* t (/ 1 (- a z))))

simplify932.0ms

Counts
65 → 65
Iterations
IterNodes
done2001
3745
2258
1119
068

prune439.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes486.0ms

Accuracy

93.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample1.2s

Algorithm
intervals
Results
897.0ms8708×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid