Details

Time bar (total: 12.0s)

sample32.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify972.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.7b
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
21.6b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-/r* times-frac
2×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
11.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
65.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

simplify1.1s

Counts
39 → 39
Iterations
IterNodes
done5001
2745
1148
067

prune349.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.2b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
0.7b
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
21.6b
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
29×add-exp-log
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×pow1 prod-exp
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×clear-num frac-2neg cbrt-unprod
1×associate-/r/ fma-udef pow-flip inv-pow
Counts
3 → 91
Calls
3 calls:
12.0ms
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
0.0ms
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
7.0ms
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

series378.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
145.0ms
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
135.0ms
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
done5000
21641
1341
0145

prune486.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* t y) z))
0.3b
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
0.7b
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
5.7b
(/ (* t y) z)

rewrite53.0ms

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:
18.0ms
(* 0.5 (/ (* t y) z))
20.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
0.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
11.0ms
(/ (* t y) z)

series221.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 0.5 (/ (* t y) z))
51.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
97.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
30.0ms
(/ (* t y) z)

simplify1.2s

Counts
109 → 109
Iterations
IterNodes
done5000
21700
1366
0153

prune620.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z 1.0) (* (* t y) (/ 0.5 z)))
4.2b
(/ y (- (* z 1.0) (* (* t y) (/ 0.5 z))))
5.8b
(* (* t y) (/ 0.5 z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
17×add-cbrt-cube add-exp-log
13×associate-*r*
8×pow1
6×prod-exp cbrt-unprod
5×add-log-exp
3×expm1-log1p-u cbrt-undiv associate-/r* div-exp pow-prod-down log1p-expm1-u associate-/l*
2×flip3-- associate-/r/ div-inv flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log associate-*l* prod-diff associate-*r/ *-commutative
Counts
3 → 82
Calls
3 calls:
7.0ms
(- (* z 1.0) (* (* t y) (/ 0.5 z)))
10.0ms
(/ y (- (* z 1.0) (* (* t y) (/ 0.5 z))))
19.0ms
(* (* t y) (/ 0.5 z))

series271.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* z 1.0) (* (* t y) (/ 0.5 z)))
182.0ms
(/ y (- (* z 1.0) (* (* t y) (/ 0.5 z))))
34.0ms
(* (* t y) (/ 0.5 z))

simplify2.1s

Counts
91 → 91
Iterations
IterNodes
done5000
22665
1424
0154

prune576.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes477.0ms

Accuracy

0% (2.2b remaining)

Error of 2.7b against oracle of 0.5b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample960.0ms

Algorithm
intervals
Results
655.0ms8000×body80valid