Details

sample47.0ms

Algorithm

intervals

Results

17.0ms

281×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	95	11
5	157	11
6	246	11
7	282	11
8	353	11
9	496	11
10	818	11
11	2304	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.4b	(* y (/ (- z t) (- a t)))

rewrite134.0ms

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:

41.0ms	(/ (- z t) (- a t))
88.0ms	(* y (/ (- z t) (- a t)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- z t) (- a t))
100.0ms	(* y (/ (- z t) (- a t)))

simplify686.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	138	1319
1	374	1259
2	1521	1169
done	5000	1169

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
4.1b	(cbrt (/ (- z t) (- a t)))
4.1b	(cbrt (/ (- z t) (- a t)))
4.1b	(cbrt (/ (- z t) (- a t)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

331.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
9.0ms	(cbrt (/ (- z t) (- a t)))
15.0ms	(cbrt (/ (- z t) (- a t)))
9.0ms	(cbrt (/ (- z t) (- a t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

103.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
398.0ms	(cbrt (/ (- z t) (- a t)))
452.0ms	(cbrt (/ (- z t) (- a t)))
388.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.1s

Counts

160 → 160

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	208	3221
1	444	3108
2	1123	2611
done	5000	2508

prune894.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

2.4b	(* y (/ (- z t) (- a t)))
5.0b	(cbrt (* y (/ (- z t) (- a t))))
5.0b	(cbrt (* y (/ (- z t) (- a t))))
5.0b	(cbrt (* y (/ (- z t) (- a t))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

52.0ms	(* y (/ (- z t) (- a t)))
25.0ms	(cbrt (* y (/ (- z t) (- a t))))
24.0ms	(cbrt (* y (/ (- z t) (- a t))))
24.0ms	(cbrt (* y (/ (- z t) (- a t))))

series1.1s

Counts

4 → 12

Calls

4 calls:

80.0ms	(* y (/ (- z t) (- a t)))
304.0ms	(cbrt (* y (/ (- z t) (- a t))))
317.0ms	(cbrt (* y (/ (- z t) (- a t))))
348.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify719.0ms

Counts

92 → 92

Iterations

Useful iterations: done (716.0ms)

Iter	Nodes	Cost
0	143	1172
1	356	1130
2	1321	999
done	5000	974

prune616.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* y (/ (- z t) (- a t))))
5.0b	(cbrt (* y (/ (- z t) (- a t))))
5.0b	(cbrt (* y (/ (- z t) (- a t))))
5.0b	(cbrt (* y (/ (- z t) (- a t))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `-un-lft-identity` `pow1/3` `associate-r/` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

13.0ms	(cbrt (* y (/ (- z t) (- a t))))
13.0ms	(cbrt (* y (/ (- z t) (- a t))))
16.0ms	(cbrt (* y (/ (- z t) (- a t))))
23.0ms	(cbrt (* y (/ (- z t) (- a t))))

series1.3s

Counts

4 → 12

Calls

4 calls:

339.0ms	(cbrt (* y (/ (- z t) (- a t))))
319.0ms	(cbrt (* y (/ (- z t) (- a t))))
333.0ms	(cbrt (* y (/ (- z t) (- a t))))
347.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify929.0ms

Counts

52 → 52

Iterations

Useful iterations: done (926.0ms)

Iter	Nodes	Cost
0	57	748
1	112	736
2	295	644
3	1462	616
done	5001	580

prune505.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes929.0ms

Accuracy

16.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.3b

bsearch164.0ms

Steps

Iters	Range		Point
9	1.45259813490488e-166	1.1016028144226224e-157	3.9183521668461886e-162
10	-2.036471125753259e+101	-3.21116155890472e+87	-3.2556880791539753e+87

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	41
1	26	31
done	26	31

end0.0ms

sample1.3s

Algorithm

intervals

Results

540.0ms	8746×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid