Details

Time bar (total: 8.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify696.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11811
23311
35711
49111
512611
615311
717811
822411
929511
1038311
1146311
1260511
1363011
1463111
done63111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
9.7b
(/ (* y (- z t)) (- z a))

rewrite24.0ms

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:
12.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- z a))

series98.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- z t))
61.0ms
(/ (* y (- z t)) (- z a))

simplify1.0s

Counts
61 → 61
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0105599
1267575
21039501
done5000501

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.4b
(/ y (/ (- z a) (- z t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
13.0ms
(/ (- z a) (- z t))
14.0ms
(/ y (/ (- z a) (- z t)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z a) (- z t))
111.0ms
(/ y (/ (- z a) (- z t)))

simplify903.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (243.0ms)

IterNodesCost
02683480
16313260
224003158
done50013158

prune651.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.4b
(/ y (* (/ (/ 1 (cbrt (- z t))) (cbrt (- z t))) (/ (- z a) (cbrt (- z t)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
28×div-exp
24×add-cbrt-cube
16×cbrt-undiv
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
10×prod-exp
9×add-cube-cbrt
6×cbrt-div cbrt-unprod
4×pow1 add-log-exp
3×flip3-- times-frac pow1/3 associate-/r/ flip-- associate-/l* distribute-lft-out-- difference-of-squares
2×rec-exp 1-exp
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* div-inv
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
36.0ms
(/ y (* (/ (/ 1 (cbrt (- z t))) (cbrt (- z t))) (/ (- z a) (cbrt (- z t)))))

series515.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- z t))
148.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
64.0ms
(/ y (* (/ (/ 1 (cbrt (- z t))) (cbrt (- z t))) (/ (- z a) (cbrt (- z t)))))

simplify581.0ms

Counts
95 → 95
Iterations

Useful iterations: done (578.0ms)

IterNodesCost
01751725
14871671
215871343
done50001123

prune299.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
7.8b
(* (/ y (- z a)) (- z t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ y (- z a))
24.0ms
(* (/ y (- z a)) (- z t))

series144.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- z a))
116.0ms
(* (/ y (- z a)) (- z t))

simplify1.8s

Counts
93 → 93
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01401017
1342989
21092913
34361913
done5000912

prune214.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample521.0ms

Algorithm
intervals
Results
273.0ms8737×body80valid
0.0ms1×body320valid