Details

Time bar (total: 20.5s)

sample37.0ms

Algorithm
intervals
Results
17.0ms273×body80valid
3.0ms12×body640valid
1.0ms5×body1280valid
1.0ms7×body320valid
1.0ms5×body160valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5001
62168
5851
4322
3116
245
120
011

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
11.7b
(fma (/ (- t x) (- a z)) (- y z) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 66
Calls
2 calls:
24.0ms
(/ (- t x) (- a z))
0.0ms
(fma (/ (- t x) (- a z)) (- y z) x)

series215.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- t x) (- a z))
147.0ms
(fma (/ (- t x) (- a z)) (- y z) x)

simplify1.7s

Counts
72 → 72
Iterations
IterNodes
done5000
32320
2680
1276
0120

prune484.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.6b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
1.9b
(+ (* (/ (- t x) (- a z)) (- y z)) x)
6.5b
(* (/ (- t x) (- a z)) (- y z))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×times-frac add-cube-cbrt
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* flip3-- associate-*r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-+
Counts
3 → 173
Calls
3 calls:
16.0ms
(/ (- t x) (- a z))
24.0ms
(+ (* (/ (- t x) (- a z)) (- y z)) x)
55.0ms
(* (/ (- t x) (- a z)) (- y z))

series586.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (- t x) (- a z))
237.0ms
(+ (* (/ (- t x) (- a z)) (- y z)) x)
268.0ms
(* (/ (- t x) (- a z)) (- y z))

simplify1.9s

Counts
182 → 182
Iterations
IterNodes
done5000
22073
1715
0259

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.4b
(+ (* (- t x) (/ (- y z) (- a z))) x)
3.4b
(* (- t x) (/ (- y z) (- a z)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* flip3-- associate-*l* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 129
Calls
3 calls:
35.0ms
(/ (- y z) (- a z))
34.0ms
(+ (* (- t x) (/ (- y z) (- a z))) x)
51.0ms
(* (- t x) (/ (- y z) (- a z)))

series534.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ (- y z) (- a z))
268.0ms
(+ (* (- t x) (/ (- y z) (- a z))) x)
186.0ms
(* (- t x) (/ (- y z) (- a z)))

simplify1.7s

Counts
138 → 138
Iterations
IterNodes
done5000
21772
1520
0192

prune780.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.8b
(* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z)))
5.6b
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
88×distribute-rgt-in distribute-lft-in
73×add-exp-log
72×prod-diff
59×add-sqr-sqrt *-un-lft-identity
55×add-cube-cbrt
44×associate-+l+
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×cbrt-div
13×frac-times associate-*l*
12×flip3-- flip--
11×associate-*r/
10×cbrt-prod
9×pow1
8×sub-neg associate-/r/
6×add-log-exp
5×associate-*l/
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×pow-prod-down
2×pow1/3 distribute-lft-out-- difference-of-squares
1×+-commutative sum-log fma-def flip3-+ times-frac associate-*r* *-commutative flip-+ div-inv
Counts
4 → 207
Calls
4 calls:
6.0ms
(cbrt (- a z))
5.0ms
(cbrt (- a z))
163.0ms
(* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z)))
123.0ms
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

series913.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- a z))
180.0ms
(cbrt (- a z))
321.0ms
(* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z)))
260.0ms
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

simplify2.4s

Counts
219 → 219
Iterations
IterNodes
done5000
24070
11115
0364

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.5b

regimes770.0ms

Accuracy

23.2% (6.1b remaining)

Error of 9.7b against oracle of 3.6b and baseline of 11.6b

bsearch167.0ms

Steps
ItersRangePoint
10
3.9621974783400934e-189
2.421317886193804e-179
6.167365069204261e-186
6
-2.883010294888317e-190
-3.6099924727312046e-191
-2.4099298907342983e-190

simplify23.0ms

Iterations
IterNodes
done63
563
461
359
253
145
035

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s7832×body80valid
165.0ms477×body640valid
139.0ms406×body320valid
114.0ms266×body1280valid
44.0ms242×body160valid
7.0ms14×body2560valid