Details

Time bar (total: 11.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms267×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ x (- y (* z t)))

rewrite8.0ms

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:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- y (* z t))
34.0ms
(/ x (- y (* z t)))

simplify2.0s

Counts
57 → 57
Iterations

Useful iterations: 4 (927.0ms)

IterNodesCost
087595
1180580
2429539
31042525
42606506
done5000506

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (- y (* z t)))
3.0b
(* x (/ 1 (- y (* z t))))

rewrite26.0ms

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:
2.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
13.0ms
(* x (/ 1 (- y (* z t))))

series125.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- y (* z t))
50.0ms
(/ 1 (- y (* z t)))
40.0ms
(* x (/ 1 (- y (* z t))))

simplify2.7s

Counts
104 → 104
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
01251120
1289970
2586860
31276856
43655837
done5001837

prune261.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ x (- y (* z t)))
13.7b
(cbrt (/ x (- y (* z t))))
13.7b
(cbrt (/ x (- y (* z t))))
13.7b
(cbrt (/ x (- y (* z t))))

rewrite17.0ms

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:
4.0ms
(/ x (- y (* z t)))
3.0ms
(cbrt (/ x (- y (* z t))))
3.0ms
(cbrt (/ x (- y (* z t))))
3.0ms
(cbrt (/ x (- y (* z t))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ x (- y (* z t)))
107.0ms
(cbrt (/ x (- y (* z t))))
123.0ms
(cbrt (/ x (- y (* z t))))
126.0ms
(cbrt (/ x (- y (* z t))))

simplify2.1s

Counts
121 → 121
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
01251759
12341705
25481616
314001595
438221567
done50001567

prune495.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
2.0b
(/ (cbrt x) (- y (* z t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 118
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
28.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
5.0ms
(/ (cbrt x) (- y (* z t)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt x)
204.0ms
(cbrt x)
76.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
145.0ms
(/ (cbrt x) (- y (* z t)))

simplify939.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (289.0ms)

IterNodesCost
01451698
13871635
215431394
done50011394

prune444.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 3.3b

regimes241.0ms

Accuracy

0% (0.0b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample432.0ms

Algorithm
intervals
Results
214.0ms8382×body80valid