Details

Time bar (total: 9.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify420.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2329
3659
41389
52159
62699
72929
83559
94529
104589
done4589

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
8.1b
(/ (* y (- z t)) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
9.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series131.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
49.0ms
(/ (* y (- z t)) a)

simplify1.7s

Counts
72 → 72
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0120760
1291717
2853639
33826627
done5000624

prune164.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- t z) (/ a y)))
6.3b
(/ (- t z) (/ a y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
30.0ms
(+ x (/ (- t z) (/ a y)))
11.0ms
(/ (- t z) (/ a y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ x (/ (- t z) (/ a y)))
43.0ms
(/ (- t z) (/ a y))

simplify852.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
02191896
16061746
218451680
done50011680

prune310.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.3b
(* (/ 1 (* (cbrt a) (cbrt a))) (/ (- t z) (/ (cbrt a) y)))
4.6b
(/ (- t z) (/ (cbrt a) y))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
444×times-frac
322×add-sqr-sqrt
291×*-un-lft-identity
197×add-cube-cbrt
115×associate-*r*
108×cbrt-prod
87×add-exp-log
45×distribute-lft-out-- difference-of-squares
36×div-exp
35×add-cbrt-cube
30×prod-exp
22×associate-/r*
18×cbrt-undiv
14×div-inv
12×cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1 rec-exp 1-exp
5×associate-/l*
4×add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 353
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
78.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (/ (- t z) (/ (cbrt a) y)))
17.0ms
(/ (- t z) (/ (cbrt a) y))

series640.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt a)
183.0ms
(cbrt a)
82.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (/ (- t z) (/ (cbrt a) y)))
191.0ms
(/ (- t z) (/ (cbrt a) y))

simplify1.3s

Counts
365 → 365
Iterations

Useful iterations: done (1.3s)

IterNodesCost
04666903
115636340
done50006010

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.7b
(/ y (/ a (- z t)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
31.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (/ y (/ a (- z t))))
33.0ms
(/ a (- z t))
54.0ms
(/ y (/ a (- z t)))

simplify794.0ms

Counts
164 → 164
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
02532379
15522224
218082144
done50002144

prune433.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

76% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02145
12937
done2937

end0.0ms

sample618.0ms

Algorithm
intervals
Results
299.0ms10607×body80valid