Details

sample112.0ms

Algorithm

intervals

Results

29.0ms	296×	body	80	valid
26.0ms	249×	body	80	nan

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	267	16
4	958	16
5	3749	16
done	5001	16

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite943.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

703.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
35.0ms	(* (- a 0.5) b)
193.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series365.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
45.0ms	(* (- a 0.5) b)
47.0ms	(- (+ (+ x y) z) (* z (log t)))
52.0ms	(* z (log t))

simplify1.3s

Counts

102 → 102

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	204	1549
1	562	1434
2	2429	1354
done	5001	1345

prune520.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt t)) z)
0.3b	(* (* 2 (log (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

9.0ms	(* (log (cbrt t)) z)
29.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series844.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (log (cbrt t)) z)
144.0ms	(* (* 2 (log (cbrt t))) z)
244.0ms	(cbrt t)
277.0ms	(cbrt t)

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	88	525
1	220	495
2	1216	413
done	5000	400

prune449.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (pow t 2/3))
6.1b	(pow t 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt t)
2.0ms	(cbrt (cbrt t))
4.0ms	(cbrt (pow t 2/3))
5.0ms	(pow t 2/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt t)
366.0ms	(cbrt (cbrt t))
278.0ms	(cbrt (pow t 2/3))
517.0ms	(pow t 2/3)

simplify3.5s

Counts

69 → 69

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	93	428
1	199	383
2	682	347
3	2997	333
done	5001	329

prune596.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt t))) z)
0.3b	(* (- (log t)) z)
0.4b	(* -1/3 (* (- (log t)) z))
0.6b	(cbrt t)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
16×	`add-exp-log` `associate-l` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`distribute-lft-neg-out` `log-pow`
1×	`neg-mul-1` `pow1/3` `distribute-rgt-neg-out` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

27.0ms	(* (* 2 (log (cbrt t))) z)
20.0ms	(* (- (log t)) z)
35.0ms	(* -1/3 (* (- (log t)) z))
2.0ms	(cbrt t)

series679.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (* 2 (log (cbrt t))) z)
101.0ms	(* (- (log t)) z)
99.0ms	(* -1/3 (* (- (log t)) z))
320.0ms	(cbrt t)

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	134	715
1	350	673
2	1973	529
done	5001	516

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes790.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	31
1	34	31
done	34	31

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	9168×	body	80	valid
838.0ms	9129×	body	80	nan
1.0ms	5×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid