Details

sample32.0ms

Algorithm

intervals

Results

10.0ms

284×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	105	10
5	180	10
6	304	10
7	360	10
8	448	10
9	713	10
10	1241	10
11	3537	10
done	5000	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.2b	(* y (/ (- z t) (- z a)))

rewrite117.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

41.0ms	(/ (- z t) (- z a))
68.0ms	(* y (/ (- z t) (- z a)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- z t) (- z a))
102.0ms	(* y (/ (- z t) (- z a)))

simplify818.0ms

Counts

112 → 112

Iterations

Useful iterations: done (814.0ms)

Iter	Nodes	Cost
0	142	1355
1	383	1294
2	1531	1208
done	5001	1204

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
1.5b	(* (cbrt y) (/ (- z t) (- z a)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
99.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
75.0ms	(* (cbrt y) (/ (- z t) (- z a)))

series840.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt y)
248.0ms	(cbrt y)
137.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
227.0ms	(* (cbrt y) (/ (- z t) (- z a)))

simplify2.9s

Counts

124 → 124

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	155	1552
1	429	1496
2	2727	1203
done	5000	1065

prune310.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
12.4b	(/ (* y (- z t)) (- z a))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
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` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

43.0ms	(* y (- z t))
45.0ms	(/ (* y (- z t)) (- z a))

series156.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* y (- z t))
103.0ms	(/ (* y (- z t)) (- z a))

simplify995.0ms

Counts

83 → 83

Iterations

Useful iterations: done (990.0ms)

Iter	Nodes	Cost
0	157	1123
1	400	942
2	1734	780
done	5000	752

prune193.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z t))
0.1b	(/ (sqrt (- z t)) (- z a))
0.1b	(* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a)))
1.0b	(* y (* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a))))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
84×	`times-frac`
70×	`sqrt-prod`
48×	`add-cube-cbrt`
47×	`associate-r`
30×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `sqrt-div`
11×	`associate-l`
8×	`flip3--` `flip--` `associate-/l*`
7×	`associate-*r/` `prod-exp` `cbrt-unprod`
6×	`unswap-sqr`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 197

Calls

4 calls:

13.0ms	(sqrt (- z t))
39.0ms	(/ (sqrt (- z t)) (- z a))
109.0ms	(* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a)))
128.0ms	(* y (* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- z t))
134.0ms	(/ (sqrt (- z t)) (- z a))
63.0ms	(* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a)))
104.0ms	(* y (* (sqrt (- z t)) (/ (sqrt (- z t)) (- z a))))

simplify5.0s

Counts

209 → 209

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	231	3257
1	562	3005
2	4370	2531
done	5001	2528

prune745.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes237.0ms

Accuracy

51.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch71.0ms

Steps

Iters	Range		Point
7	7.061827223306598e-100	1.8019812010145532e-98	1.418757681676918e-99
8	-1.3926889602176855e+54	-2.7008634656039713e+50	-2.7460742492281516e+50

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample1.0s

Algorithm

intervals

Results

506.0ms

8731×

body

valid