Details

Time bar (total: 1.3m)

sample62.0ms

Algorithm
intervals
Results
19.0ms274×body80valid

simplify7.7s

Counts
1 → 1
Iterations
IterNodes
done5001
244971
234719
224472
214219
203966
193718
183457
173189
162922
152654
142345
131967
121369
11756
10502
9395
8317
7231
6150
5116
485
355
233
117
010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
9.2b
(/ (* (- y z) t) (- a z))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*l*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 53
Calls
2 calls:
34.0ms
(* (- y z) t)
54.0ms
(/ (* (- y z) t) (- a z))

series192.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (- y z) t)
135.0ms
(/ (* (- y z) t) (- a z))

simplify7.3s

Counts
59 → 59
Iterations
IterNodes
done5003
34910
2944
1266
0103

prune914.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
10.5b
(* (- y z) (/ t (- a z)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 85
Calls
2 calls:
29.0ms
(/ t (- a z))
88.0ms
(* (- y z) (/ t (- a z)))

series196.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ t (- a z))
141.0ms
(* (- y z) (/ t (- a z)))

simplify3.0s

Counts
91 → 91
Iterations
IterNodes
done5002
21202
1319
0132

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
4.3b
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

rewrite550.0ms

Algorithm
rewrite-expression-head
Rules
756×times-frac
665×add-sqr-sqrt
579×*-un-lft-identity
482×cbrt-prod
374×associate-*l*
267×add-cube-cbrt
156×distribute-lft-out-- difference-of-squares
30×associate-*r*
26×cbrt-div
25×add-exp-log
21×unswap-sqr
20×associate-/r/
16×add-cbrt-cube
13×flip3-- flip--
10×div-inv
9×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 498
Calls
4 calls:
6.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
412.0ms
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt (- a z))
251.0ms
(cbrt (- a z))
326.0ms
(cbrt (- a z))
165.0ms
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ t (cbrt (- a z))))

simplify3.6s

Counts
510 → 510
Iterations
IterNodes
done5001
11573
0482

prune7.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize324.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(* (/ (/ (cbrt (- y z)) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z))))
2.1b
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (* (/ (/ (cbrt (- y z)) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z)))))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
3182×cbrt-prod
2267×times-frac
1755×add-sqr-sqrt
1462×*-un-lft-identity
1116×associate-*l*
846×add-cube-cbrt
308×distribute-lft-out-- difference-of-squares
183×add-exp-log
154×cbrt-div
80×cbrt-undiv div-exp
79×add-cbrt-cube
66×associate-/r/ unswap-sqr
65×prod-exp cbrt-unprod
45×flip3-- flip--
31×associate-*r*
26×frac-times
18×div-inv
16×associate-*r/
14×associate-*l/
11×pow1
4×pow-prod-down insert-posit16 add-log-exp
2×pow1/3 *-commutative
Counts
4 → 1344
Calls
4 calls:
7.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
1.2s
(* (/ (/ (cbrt (- y z)) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z))))
939.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (* (/ (/ (cbrt (- y z)) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z)))))

series4.6s

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt (- a z))
278.0ms
(cbrt (- a z))
3.7s
(* (/ (/ (cbrt (- y z)) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z))))
292.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (* (/ (/ (cbrt (- y z)) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (/ t (cbrt (- a z)))))

simplify6.2s

Counts
1356 → 1356
Iterations
IterNodes
done5001
13269
0976

prune25.5s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes2.1s

Accuracy

71.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.2b

bsearch2.0ms

simplify13.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample1.2s

Algorithm
intervals
Results
478.0ms8738×body80valid
0.0ms1×body160valid