Details

Time bar (total: 9.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify532.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11711
23211
35611
49011
512311
615011
717611
821911
928511
1037411
1142011
1249711
1351811
done51811

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.4b
(/ (* y (- z t)) (- a t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
9.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series104.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) (- a t))

simplify1.3s

Counts
61 → 61
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0105599
1264575
2847501
33535501
done5000499

prune141.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.6b
(* y (/ (- z t) (- a t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- z t) (- a t))
23.0ms
(* y (/ (- z t) (- a t)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
66.0ms
(* y (/ (- z t) (- a t)))

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01381319
13501247
29171165
327791165
done50001163

prune234.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.6b
(* y (/ (- z t) (- a t)))
4.8b
(cbrt (* y (/ (- z t) (- a t))))
4.8b
(cbrt (* y (/ (- z t) (- a t))))
4.8b
(cbrt (* y (/ (- z t) (- a t))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 80
Calls
4 calls:
23.0ms
(* y (/ (- z t) (- a t)))
6.0ms
(cbrt (* y (/ (- z t) (- a t))))
10.0ms
(cbrt (* y (/ (- z t) (- a t))))
6.0ms
(cbrt (* y (/ (- z t) (- a t))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* y (/ (- z t) (- a t)))
215.0ms
(cbrt (* y (/ (- z t) (- a t))))
221.0ms
(cbrt (* y (/ (- z t) (- a t))))
218.0ms
(cbrt (* y (/ (- z t) (- a t))))

simplify977.0ms

Counts
92 → 92
Iterations

Useful iterations: 3 (380.0ms)

IterNodesCost
01431172
13361118
2936995
33115974
done5001974

prune324.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

8.3b
(* (- z t) (/ y (- a t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×associate-*r*
19×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×pow1 flip3-- flip--
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
22.0ms
(* (- z t) (/ y (- a t)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (- z t) (/ y (- a t)))

simplify3.0s

Counts
49 → 49
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
0109597
1264568
21037514
34804514
done5000514

prune126.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample528.0ms

Algorithm
intervals
Results
275.0ms8721×body80valid
0.0ms1×body2560valid