Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

274×

body

valid

simplify474.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	38	11
3	52	11
4	80	11
5	108	11
6	205	11
7	631	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize13.0ms

Local error

Found 1 expressions with local error:

12.1b

(/ (- x (* y z)) (- t (* a z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

28.0ms

(/ (- x (* y z)) (- t (* a z)))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(/ (- x (* y z)) (- t (* a z)))

simplify2.2s

Counts

35 → 35

Iterations

Useful iterations: 3 (639.0ms)

Iter	Nodes	Cost
0	76	596
1	204	583
2	792	541
3	4329	539
done	5001	539

prune111.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ x (- t (* a z))) (/ (* z y) (- t (* a z))))
2.6b	(/ x (- t (* a z)))
12.5b	(/ (* z y) (- t (* a z)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`associate-/r*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`pow1` `cbrt-undiv` `distribute-rgt-out--` `div-exp`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

3 → 72

Calls

3 calls:

72.0ms	(- (/ x (- t (* a z))) (/ (* z y) (- t (* a z))))
13.0ms	(/ x (- t (* a z)))
15.0ms	(/ (* z y) (- t (* a z)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(- (/ x (- t (* a z))) (/ (* z y) (- t (* a z))))
42.0ms	(/ x (- t (* a z)))
86.0ms	(/ (* z y) (- t (* a z)))

simplify830.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	130	1239
1	327	1180
2	1411	1090
done	5000	1090

prune283.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.9b

localize30.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ z (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
8.4b	(cbrt (- t (* a z)))
8.4b	(cbrt (- t (* a z)))
8.4b	(cbrt (- t (* a z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 68

Calls

4 calls:

30.0ms	(/ z (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
5.0ms	(cbrt (- t (* a z)))
6.0ms	(cbrt (- t (* a z)))
6.0ms	(cbrt (- t (* a z)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(/ z (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
161.0ms	(cbrt (- t (* a z)))
172.0ms	(cbrt (- t (* a z)))
169.0ms	(cbrt (- t (* a z)))

simplify1.6s

Counts

80 → 80

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	145	1320
1	342	1265
2	926	1162
3	3476	1123
done	5001	1065

prune386.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.9b

localize25.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (- t (* a z)))
8.4b	(cbrt (- t (* a z)))
8.4b	(cbrt (- t (* a z)))
8.4b	(cbrt (- t (* a z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- t (* a z)))
3.0ms	(cbrt (- t (* a z)))
3.0ms	(cbrt (- t (* a z)))
3.0ms	(cbrt (- t (* a z)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (- t (* a z)))
135.0ms	(cbrt (- t (* a z)))
182.0ms	(cbrt (- t (* a z)))
152.0ms	(cbrt (- t (* a z)))

simplify838.0ms

Counts

64 → 64

Iterations

Useful iterations: done (835.0ms)

Iter	Nodes	Cost
0	71	900
1	173	856
2	491	808
3	1771	776
done	5000	720

prune371.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.9b

regimes407.0ms

Accuracy

28.7% (1.3b remaining)

Error of 7.6b against oracle of 6.4b and baseline of 8.1b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	75
1	31	75
done	31	75

end0.0ms

sample1.1s

Algorithm

intervals

Results

503.0ms

8728×

body

valid