Details

Time bar (total: 19.9s)

sample53.0ms

Algorithm
intervals
Results
21.0ms273×body80valid
4.0ms12×body640valid
2.0ms5×body1280valid
2.0ms7×body320valid
1.0ms5×body160valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
61910
5805
4299
3108
243
120
011

prune13.0ms

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)

rewrite17.0ms

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:
16.0ms
(/ (- t x) (- a z))
0.0ms
(fma (/ (- t x) (- a z)) (- y z) x)

series178.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- t x) (- a z))
120.0ms
(fma (/ (- t x) (- a z)) (- y z) x)

simplify1.6s

Counts
72 → 72
Iterations
IterNodes
done5002
32212
2671
1276
0120

prune398.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.6b

localize24.0ms

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))

rewrite107.0ms

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:
29.0ms
(/ (- t x) (- a z))
29.0ms
(+ (* (/ (- t x) (- a z)) (- y z)) x)
45.0ms
(* (/ (- t x) (- a z)) (- y z))

series527.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (- t x) (- a z))
201.0ms
(+ (* (/ (- t x) (- a z)) (- y z)) x)
256.0ms
(* (/ (- t x) (- a z)) (- y z))

simplify1.8s

Counts
182 → 182
Iterations
IterNodes
done5001
21976
1715
0259

prune991.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.6b

localize20.0ms

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)))

rewrite86.0ms

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:
22.0ms
(/ (- y z) (- a z))
18.0ms
(+ (* (- t x) (/ (- y z) (- a z))) x)
42.0ms
(* (- t x) (/ (- y z) (- a z)))

series510.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (- y z) (- a z))
261.0ms
(+ (* (- t x) (/ (- y z) (- a z))) x)
171.0ms
(* (- t x) (/ (- y z) (- a z)))

simplify1.7s

Counts
138 → 138
Iterations
IterNodes
done5001
21765
1520
0192

prune834.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.5b

localize59.0ms

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)

rewrite335.0ms

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:
3.0ms
(cbrt (- a z))
3.0ms
(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)))
161.0ms
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt (- a z))
261.0ms
(cbrt (- a z))
351.0ms
(* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z)))
248.0ms
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

simplify3.3s

Counts
219 → 219
Iterations
IterNodes
done5002
23940
11115
0364

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.5b

regimes621.0ms

Accuracy

19.1% (6.3b remaining)

Error of 10.0b against oracle of 3.6b and baseline of 11.4b

bsearch160.0ms

Steps
ItersRangePoint
9
1.6578722780370624e+178
4.257764776247382e+185
2.4122683507888716e+184
8
-4.675727803216676e+105
-1.0426937022554421e+102
-4.576904563487002e+105

simplify12.0ms

Iterations
IterNodes
done33
133
027

end0.0ms

sample1.6s

Algorithm
intervals
Results
803.0ms7832×body80valid
121.0ms477×body640valid
111.0ms406×body320valid
83.0ms266×body1280valid
67.0ms242×body160valid
5.0ms14×body2560valid