Details

Time bar (total: 11.5s)

sample35.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify874.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
51678
4360
3148
262
126
013

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize32.0ms

Local error

Found 3 expressions with local error:

0.5b
(fma (- y) t (* (* z 2.0) z))
0.7b
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
22.0b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 associate-/r* times-frac log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp fma-udef
1×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
3 → 43
Calls
3 calls:
0.0ms
(fma (- y) t (* (* z 2.0) z))
0.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
12.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

series261.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(fma (- y) t (* (* z 2.0) z))
107.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
70.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

simplify903.0ms

Counts
52 → 52
Iterations
IterNodes
done5001
2848
1167
076

prune282.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
0.5b
(fma (- y) t (* (* z 2.0) z))
0.7b
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
21.8b
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-exp-log
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg cbrt-unprod fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 101
Calls
4 calls:
12.0ms
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
0.0ms
(fma (- y) t (* (* z 2.0) z))
0.0ms
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
6.0ms
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

series411.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
66.0ms
(fma (- y) t (* (* z 2.0) z))
133.0ms
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
139.0ms
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

simplify1.6s

Counts
113 → 113
Iterations
IterNodes
done5000
21650
1358
0153

prune807.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
0.2b
(* 0.5 (/ (* t y) z))
0.7b
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
5.1b
(/ (* t y) z)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
20×add-cbrt-cube
19×add-sqr-sqrt
17×*-un-lft-identity add-cube-cbrt
15×times-frac
7×pow1 associate-*r*
6×associate-/r* div-exp
5×cbrt-undiv prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* div-inv
2×clear-num frac-2neg associate-/r/
1×rec-exp flip3-- 1-exp pow-prod-down associate-*r/ *-commutative fma-udef pow-flip flip-- inv-pow unswap-sqr
Counts
4 → 97
Calls
4 calls:
19.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
23.0ms
(* 0.5 (/ (* t y) z))
0.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
13.0ms
(/ (* t y) z)

series256.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
50.0ms
(* 0.5 (/ (* t y) z))
107.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
38.0ms
(/ (* t y) z)

simplify1.3s

Counts
109 → 109
Iterations
IterNodes
done5001
21676
1363
0153

prune689.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 z) (* (* 0.5 (/ t z)) y))
5.0b
(/ y (- (* 1.0 z) (* (* 0.5 (/ t z)) y)))
7.1b
(* (* 0.5 (/ t z)) y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
8×pow1
5×prod-exp cbrt-unprod add-log-exp
3×expm1-log1p-u associate-/r* associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp associate-/r/ flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log associate-*l* prod-diff associate-*l/ associate-*r/ *-commutative div-inv
Counts
3 → 70
Calls
3 calls:
13.0ms
(- (* 1.0 z) (* (* 0.5 (/ t z)) y))
14.0ms
(/ y (- (* 1.0 z) (* (* 0.5 (/ t z)) y)))
22.0ms
(* (* 0.5 (/ t z)) y)

series644.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (* 1.0 z) (* (* 0.5 (/ t z)) y))
518.0ms
(/ y (- (* 1.0 z) (* (* 0.5 (/ t z)) y)))
39.0ms
(* (* 0.5 (/ t z)) y)

simplify1.3s

Counts
79 → 79
Iterations
IterNodes
done5001
21746
1338
0128

prune522.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes392.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample937.0ms

Algorithm
intervals
Results
655.0ms8000×body80valid