Details

Time bar (total: 18.2s)

sample35.0ms

Algorithm
intervals
Results
15.0ms266×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.6b
(/ x (- y (* z t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
11.0ms
(- y (* z t))
20.0ms
(/ x (- y (* z t)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- y (* z t))
75.0ms
(/ x (- y (* z t)))

simplify3.6s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
087595
1181580
2425529
31042525
42487506
done5000506

prune218.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
3.6b
(* x (/ 1 (- y (* z t))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 95
Calls
3 calls:
16.0ms
(- y (* z t))
19.0ms
(/ 1 (- y (* z t)))
28.0ms
(* x (/ 1 (- y (* z t))))

series187.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- y (* z t))
71.0ms
(/ 1 (- y (* z t)))
69.0ms
(* x (/ 1 (- y (* z t))))

simplify3.8s

Counts
104 → 104
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
01251120
1283970
2592870
31370856
43343837
done5000837

prune372.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (fma (- t) z y) x))
3.6b
(/ (fma (- t) z y) x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
22.0ms
(/ 1 (/ (fma (- t) z y) x))
12.0ms
(/ (fma (- t) z y) x)

series215.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ 1 (/ (fma (- t) z y) x))
99.0ms
(/ (fma (- t) z y) x)

simplify2.9s

Counts
113 → 113
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01581772
13111558
25731379
312481359
426511353
done50001353

prune432.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

localize27.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (fma z (- t) y))
3.7b
(/ (/ 1 (fma z (- t) y)) (/ 1 x))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
34×div-exp
30×div-inv
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 262
Calls
2 calls:
11.0ms
(/ 1 (fma z (- t) y))
38.0ms
(/ (/ 1 (fma z (- t) y)) (/ 1 x))

series155.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (fma z (- t) y))
87.0ms
(/ (/ 1 (fma z (- t) y)) (/ 1 x))

simplify4.0s

Counts
268 → 268
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
03916149
110314701
216274135
332154062
done50004062

prune475.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.5b

regimes413.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample958.0ms

Algorithm
intervals
Results
445.0ms8404×body80valid