Details

sample44.0ms

Algorithm

intervals

Results

16.0ms

273×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	96	11
5	157	11
6	231	11
7	263	11
8	335	11
9	473	11
10	799	11
11	2276	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.3b	(* y (/ (- z t) (- z a)))

rewrite77.0ms

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:

23.0ms	(/ (- z t) (- z a))
50.0ms	(* y (/ (- z t) (- z a)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (- z t) (- z a))
105.0ms	(* y (/ (- z t) (- z a)))

simplify677.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	138	1319
1	376	1259
2	1519	1169
done	5001	1169

prune304.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
2.8b	(cbrt (/ (- z t) (- z a)))
2.8b	(cbrt (/ (- z t) (- z a)))
2.8b	(cbrt (/ (- z t) (- z a)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

137.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
16.0ms	(cbrt (/ (- z t) (- z a)))
24.0ms	(cbrt (/ (- z t) (- z a)))
17.0ms	(cbrt (/ (- z t) (- z a)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
182.0ms	(cbrt (/ (- z t) (- z a)))
152.0ms	(cbrt (/ (- z t) (- z a)))
153.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.2s

Counts

154 → 154

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	156	2618
1	303	2514
2	636	2386
3	1938	2355
done	5001	2343

prune637.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.3b	(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
31×	`add-cbrt-cube`
29×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
9×	`pow1`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 84

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
427.0ms	(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))))

series705.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (- z t))
205.0ms	(cbrt (- z t))
191.0ms	(cbrt (- z t))
100.0ms	(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	172	2275
1	523	2185
2	2585	1213
done	5000	906

prune706.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
8.1b	(/ (* y (- z t)) (- z a))

rewrite51.0ms

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:

23.0ms	(* y (- z t))
26.0ms	(/ (* y (- z t)) (- z a))

series133.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (- z t))
89.0ms	(/ (* y (- z t)) (- z a))

simplify811.0ms

Counts

61 → 61

Iterations

Useful iterations: done (808.0ms)

Iter	Nodes	Cost
0	105	599
1	283	575
2	1117	509
done	5000	501

prune178.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes330.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

557.0ms	8727×	body	80	valid
0.0ms	1×	body	2560	valid