Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

272×

body

valid

simplify801.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	60	11
4	96	11
5	140	11
6	163	11
7	180	11
8	202	11
9	247	11
10	327	11
11	365	11
12	399	11
13	405	11
14	407	11
done	407	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

21.0ms	(+ x (/ (* (- y z) t) (- a z)))
29.0ms	(* (- y z) t)
23.0ms	(/ (* (- y z) t) (- a z))

series211.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ x (/ (* (- y z) t) (- a z)))
34.0ms	(* (- y z) t)
82.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	124	812
1	325	763
2	1263	685
done	5001	685

prune228.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.6b	(* (cbrt (- a z)) (cbrt (- a z)))
4.5b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
31×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `difference-of-squares` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
42.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
123.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (- a z))
194.0ms	(cbrt (- a z))
175.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
147.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.2s

Counts

175 → 175

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	263	3146
1	686	2971
2	2657	2569
done	5000	2437

prune579.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
2.5b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
2.5b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
2.5b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

92×	`cbrt-prod`
66×	`add-sqr-sqrt`
55×	`cbrt-div`
53×	`times-frac`
42×	`*-un-lft-identity`
34×	`associate-/r/`
30×	`associate-r`
28×	`add-cube-cbrt`
25×	`flip3--` `flip--`
20×	`associate-l`
17×	`frac-times`
9×	`add-exp-log` `associate-r/` `associate-l/` `unswap-sqr`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative`

Counts

4 → 153

Calls

4 calls:

114.0ms	(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
29.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
35.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
29.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

series3.5s

Counts

4 → 12

Calls

4 calls:

2.0s	(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
521.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
502.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
485.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

simplify2.2s

Counts

165 → 165

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	267	4131
1	619	4030
2	1567	3890
3	4159	3828
done	5000	3774

prune998.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
10.7b	(* (- y z) (/ t (- a z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

9.0ms	(+ x (* (- y z) (/ t (- a z))))
19.0ms	(/ t (- a z))
58.0ms	(* (- y z) (/ t (- a z)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ x (* (- y z) (/ t (- a z))))
54.0ms	(/ t (- a z))
98.0ms	(* (- y z) (/ t (- a z)))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: 2 (264.0ms)

Iter	Nodes	Cost
0	154	1213
1	362	1138
2	1325	1060
done	5001	1060

prune297.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes336.0ms

Accuracy

51.7% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	59
1	30	49
done	30	49

end0.0ms

sample1.2s

Algorithm

intervals

Results

541.0ms	8720×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid