Details

Time bar (total: 11.3s)

sample19.0ms

Algorithm
intervals
Results
6.0ms268×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.3b
(/ x (- y (* z t)))

rewrite18.0ms

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:
7.0ms
(- y (* z t))
10.0ms
(/ x (- y (* z t)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- y (* z t))
43.0ms
(/ x (- y (* z t)))

simplify2.3s

Counts
57 → 57
Iterations

Useful iterations: 4 (963.0ms)

IterNodesCost
087595
1181580
2425529
31042525
42487506
done5000506

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
2.4b
(* x (/ 1 (- y (* z t))))

rewrite50.0ms

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:
7.0ms
(- y (* z t))
11.0ms
(/ 1 (- y (* z t)))
29.0ms
(* x (/ 1 (- y (* z t))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z t))
48.0ms
(/ 1 (- y (* z t)))
43.0ms
(* x (/ 1 (- y (* z t))))

simplify2.6s

Counts
104 → 104
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01251120
1283970
2592870
31370856
43343837
done5000837

prune211.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ (fma (- t) z y) x))
2.2b
(/ (fma (- t) z y) x)

rewrite21.0ms

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:
11.0ms
(/ 1 (/ (fma (- t) z y) x))
6.0ms
(/ (fma (- t) z y) x)

series126.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ 1 (/ (fma (- t) z y) x))
65.0ms
(/ (fma (- t) z y) x)

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: 4 (987.0ms)

IterNodesCost
01581772
13111558
25731379
312481359
426511353
done50001353

prune209.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.2b

localize13.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ x (- y (* z t)))
12.9b
(cbrt (/ x (- y (* z t))))
12.9b
(cbrt (/ x (- y (* z t))))
12.9b
(cbrt (/ x (- y (* z t))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 109
Calls
4 calls:
10.0ms
(/ x (- y (* z t)))
5.0ms
(cbrt (/ x (- y (* z t))))
5.0ms
(cbrt (/ x (- y (* z t))))
5.0ms
(cbrt (/ x (- y (* z t))))

series381.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (- y (* z t)))
112.0ms
(cbrt (/ x (- y (* z t))))
114.0ms
(cbrt (/ x (- y (* z t))))
115.0ms
(cbrt (/ x (- y (* z t))))

simplify2.1s

Counts
121 → 121
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01251759
12341705
25511616
314431595
438021567
done50001567

prune397.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.2b

regimes192.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample513.0ms

Algorithm
intervals
Results
195.0ms8382×body80valid