Details

Time bar (total: 14.9s)

sample37.0ms

Algorithm
intervals
Results
14.0ms339×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 5 (85.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

1.7b
(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)

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(fma (/ y a) (- t z) x)

simplify960.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
024154
141154
294138
3269123
41175123
done5000123

prune48.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- t z)) x)
5.5b
(* (/ y a) (- t z))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
49.0ms
(+ (* (/ y a) (- t z)) x)
40.0ms
(* (/ y a) (- t z))

series143.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* (/ y a) (- t z)) x)
66.0ms
(* (/ y a) (- t z))

simplify1.4s

Counts
104 → 104
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01811645
14591317
212491118
done50001088

prune323.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- t z)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
44×distribute-rgt-in distribute-lft-in
39×add-cbrt-cube
37×prod-exp cbrt-unprod
36×prod-diff
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
5×associate-*l*
4×expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 142
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
135.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- t z)))

series884.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt y)
261.0ms
(cbrt y)
289.0ms
(cbrt y)
88.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- t z)))

simplify2.8s

Counts
154 → 154
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02704510
18074114
232852164
done50001453

prune443.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.5b
(* (/ y a) (fma 1 t (- (* (cbrt z) (* (cbrt z) (cbrt z))))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
2.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)
29.0ms
(* (/ y a) (fma 1 t (- (* (cbrt z) (* (cbrt z) (cbrt z))))))

series902.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt z)
211.0ms
(cbrt z)
311.0ms
(cbrt z)
119.0ms
(* (/ y a) (fma 1 t (- (* (cbrt z) (* (cbrt z) (cbrt z))))))

simplify2.9s

Counts
87 → 87
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
01061006
1230755
2726510
33068510
done5000510

prune505.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes312.0ms

Accuracy

-8.1% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.2b

bsearch59.0ms

Steps
ItersRangePoint
6
-6.017463825855936e-296
-1.4497534003956091e-296
-3.149518351871895e-296

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02544
13144
done3144

end0.0ms

sample1.7s

Algorithm
intervals
Results
727.0ms10736×body80valid