Details

Time bar (total: 10.4s)

sample25.0ms

Algorithm
intervals
Results
9.0ms260×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b
(/ x (- y (* z t)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ x (- y (* z t)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ x (- y (* z t)))

simplify944.0ms

Counts
34 → 34
Iterations

Useful iterations: done (943.0ms)

IterNodesCost
065394
1141385
2425357
31613356
done5000355

prune141.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- y (* z t)))
2.5b
(* x (/ 1 (- y (* z t))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp flip3-- 1-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 75
Calls
2 calls:
14.0ms
(/ 1 (- y (* z t)))
43.0ms
(* x (/ 1 (- y (* z t))))

series167.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(/ 1 (- y (* z t)))
63.0ms
(* x (/ 1 (- y (* z t))))

simplify691.0ms

Counts
81 → 81
Iterations

Useful iterations: done (687.0ms)

IterNodesCost
0103919
1263816
21106695
done5001693

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (- y (* z t)) x))
2.7b
(/ (- y (* z t)) x)

rewrite66.0ms

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 associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 110
Calls
2 calls:
32.0ms
(/ 1 (/ (- y (* z t)) x))
26.0ms
(/ (- y (* z t)) x)

series217.0ms

Counts
2 → 6
Calls
2 calls:
147.0ms
(/ 1 (/ (- y (* z t)) x))
70.0ms
(/ (- y (* z t)) x)

simplify1.1s

Counts
116 → 116
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01671806
14301581
219661503
done50001382

prune310.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma t (- z) y)))
1.5b
(/ (cbrt x) (fma t (- z) y))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
22×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×pow1/3 div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 114
Calls
4 calls:
9.0ms
(cbrt x)
2.0ms
(cbrt x)
60.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma t (- z) y)))
7.0ms
(/ (cbrt x) (fma t (- z) y))

series862.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
297.0ms
(cbrt x)
100.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma t (- z) y)))
193.0ms
(/ (cbrt x) (fma t (- z) y))

simplify3.6s

Counts
126 → 126
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01341634
13681579
228831326
done50011219

prune445.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.6b

regimes288.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample934.0ms

Algorithm
intervals
Results
370.0ms8349×body80valid