Details

Time bar (total: 9.1s)

sample35.0ms

Algorithm
intervals
Results
14.0ms280×body80valid

simplify507.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11811
23311
35711
49111
512611
615311
717811
822211
928811
1037711
1142311
1250111
1352311
done52311

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.6b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (* y (- z t)) (- z a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (* y (- z t)) (- z a))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (* y (- z t)) (- z a))

simplify1.7s

Counts
32 → 32
Iterations

Useful iterations: done (1.7s)

IterNodesCost
075382
1206369
2676315
32951315
done5000313

prune53.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New29332
Fresh000
Picked101
Done000
Total30333

Merged error: 0.0b

Counts
33 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.2b
(* y (/ (- z t) (- z a)))

rewrite30.0ms

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:
8.0ms
(/ (- z t) (- z a))
17.0ms
(* y (/ (- z t) (- z a)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- z a))
18.0ms
(* y (/ (- z t) (- z a)))

simplify1.4s

Counts
108 → 108
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01381319
13521247
29131165
327941165
done50001163

prune89.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh112
Picked011
Done000
Total1083111

Merged error: 0b

Counts
111 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z a))
12.0b
(* (* y (- z t)) (/ 1 (- z a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
28×add-exp-log
21×add-cube-cbrt associate-*r*
16×add-cbrt-cube
12×prod-exp
8×pow1
7×distribute-lft-out-- difference-of-squares
6×div-exp cbrt-unprod
5×associate-*r/ associate-/r*
4×flip3-- associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp pow-prod-down associate-/l*
2×frac-times associate-*l/ div-inv add-log-exp
1×pow-flip frac-2neg associate-*l* clear-num un-div-inv *-commutative inv-pow
Counts
2 → 91
Calls
2 calls:
6.0ms
(/ 1 (- z a))
15.0ms
(* (* y (- z t)) (/ 1 (- z a)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- z a))
20.0ms
(* (* y (- z t)) (/ 1 (- z a)))

simplify1.6s

Counts
97 → 97
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01371156
1382938
21167814
done5000814

prune71.0ms

Filtered
49 candidates to 97 candidates (-98.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done011
Total973100

Merged error: 0b

Counts
100 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
0.1b
(* y (sqrt (/ (- z t) (- z a))))
2.9b
(sqrt (/ (- z t) (- z a)))
2.9b
(sqrt (/ (- z t) (- z a)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
144×add-sqr-sqrt
131×*-un-lft-identity
126×sqrt-prod
103×times-frac
68×associate-*r*
51×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
13×pow1
11×add-exp-log add-cbrt-cube
8×associate-/r/
7×sqrt-div
4×rem-sqrt-square flip3-- associate-*r/ associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 190
Calls
4 calls:
25.0ms
(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
16.0ms
(* y (sqrt (/ (- z t) (- z a))))
9.0ms
(sqrt (/ (- z t) (- z a)))
11.0ms
(sqrt (/ (- z t) (- z a)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
23.0ms
(* y (sqrt (/ (- z t) (- z a))))
29.0ms
(sqrt (/ (- z t) (- z a)))
34.0ms
(sqrt (/ (- z t) (- z a)))

simplify2.0s

Counts
202 → 202
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
02103308
14602900
211322708
327292708
done50012708

prune160.0ms

Filtered
135 candidates to 202 candidates (-49.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2020202
Fresh000
Picked011
Done022
Total2023205

Merged error: 0b

Counts
205 → 3

regimes291.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample856.0ms

Algorithm
intervals
Results
329.0ms8751×body80valid
0.0ms2×body1280valid
0.0ms3×body160valid

Profiling

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