Details

Time bar (total: 12.6s)

sample40.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify734.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ y (fma (/ y z) (- t) (* z 2.0))) (- 2.0) x)
4.1b
(fma (/ y z) (- t) (* z 2.0))
6.0b
(/ y (fma (/ y z) (- t) (* z 2.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (/ y (fma (/ y z) (- t) (* z 2.0))) (- 2.0) x)
0.0ms
(fma (/ y z) (- t) (* z 2.0))
4.0ms
(/ y (fma (/ y z) (- t) (* z 2.0)))

series788.0ms

Counts
3 → 9
Calls
3 calls:
411.0ms
(fma (/ y (fma (/ y z) (- t) (* z 2.0))) (- 2.0) x)
70.0ms
(fma (/ y z) (- t) (* z 2.0))
308.0ms
(/ y (fma (/ y z) (- t) (* z 2.0)))

simplify1.3s

Counts
58 → 58
Iterations
IterNodes
done5001
31236
2348
1134
079

prune371.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 1 (/ (fma (/ t z) (- y) (* 2.0 z)) y)) (- 2.0) x)
0.8b
(/ 1 (/ (fma (/ t z) (- y) (* 2.0 z)) y))
2.7b
(fma (/ t z) (- y) (* 2.0 z))
6.0b
(/ (fma (/ t z) (- y) (* 2.0 z)) y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma (/ 1 (/ (fma (/ t z) (- y) (* 2.0 z)) y)) (- 2.0) x)
8.0ms
(/ 1 (/ (fma (/ t z) (- y) (* 2.0 z)) y))
0.0ms
(fma (/ t z) (- y) (* 2.0 z))
4.0ms
(/ (fma (/ t z) (- y) (* 2.0 z)) y)

series631.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(fma (/ 1 (/ (fma (/ t z) (- y) (* 2.0 z)) y)) (- 2.0) x)
218.0ms
(/ 1 (/ (fma (/ t z) (- y) (* 2.0 z)) y))
70.0ms
(fma (/ t z) (- y) (* 2.0 z))
118.0ms
(/ (fma (/ t z) (- y) (* 2.0 z)) y)

simplify958.0ms

Counts
139 → 139
Iterations
IterNodes
done5000
21727
1404
0178

prune725.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ z y) 2.0 (- (/ t z)))
0.0b
(fma (/ 1 (fma (/ z y) 2.0 (- (/ t z)))) (- 2.0) x)
0.8b
(/ 1 (fma (/ z y) 2.0 (- (/ t z))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-exp-log
5×add-cbrt-cube
4×pow1
3×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-exp fma-udef
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip inv-pow
Counts
3 → 53
Calls
3 calls:
0.0ms
(fma (/ z y) 2.0 (- (/ t z)))
0.0ms
(fma (/ 1 (fma (/ z y) 2.0 (- (/ t z)))) (- 2.0) x)
4.0ms
(/ 1 (fma (/ z y) 2.0 (- (/ t z))))

series180.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma (/ z y) 2.0 (- (/ t z)))
100.0ms
(fma (/ 1 (fma (/ z y) 2.0 (- (/ t z)))) (- 2.0) x)
38.0ms
(/ 1 (fma (/ z y) 2.0 (- (/ t z))))

simplify1.6s

Counts
62 → 62
Iterations
IterNodes
done5001
32143
2400
1122
075

prune325.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (* (* (cbrt (fma (/ 2.0 y) z (/ (- t) z))) (cbrt (fma (/ 2.0 y) z (/ (- t) z)))) (cbrt (fma (/ 2.0 y) z (/ (- t) z)))))
14.6b
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))
14.6b
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))
14.6b
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
24×pow1
15×pow-flip
12×pow1/3
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cbrt-cube prod-exp pow-prod-up add-cube-cbrt
6×pow-plus div-exp
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp times-frac 1-exp pow-sqr cbrt-unprod associate-/l*
2×pow2
1×clear-num associate-/r* frac-2neg pow3 div-inv inv-pow
Counts
4 → 86
Calls
4 calls:
70.0ms
(/ 1 (* (* (cbrt (fma (/ 2.0 y) z (/ (- t) z))) (cbrt (fma (/ 2.0 y) z (/ (- t) z)))) (cbrt (fma (/ 2.0 y) z (/ (- t) z)))))
1.0ms
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))
1.0ms
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))
2.0ms
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
205.0ms
(/ 1 (* (* (cbrt (fma (/ 2.0 y) z (/ (- t) z))) (cbrt (fma (/ 2.0 y) z (/ (- t) z)))) (cbrt (fma (/ 2.0 y) z (/ (- t) z)))))
270.0ms
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))
326.0ms
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))
691.0ms
(cbrt (fma (/ 2.0 y) z (/ (- t) z)))

simplify864.0ms

Counts
98 → 98
Iterations
IterNodes
done5000
21216
1379
0159

prune645.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes426.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample1.2s

Algorithm
intervals
Results
713.0ms8000×body80valid