Details

sample63.0ms

Algorithm

intervals

Results

14.0ms	292×	body	80	valid
11.0ms	334×	body	80	nan

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite716.0ms

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:

22.0ms	(* (- a 0.5) b)
521.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
161.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series211.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- a 0.5) b)
120.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
31.0ms	(- (+ (+ x y) z) (* z (log t)))
35.0ms	(* z (log t))

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5003	712

prune302.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

12.0ms	(* z (log (cbrt t)))
26.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series520.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* z (log (cbrt t)))
96.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
169.0ms	(cbrt t)
167.0ms	(cbrt t)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	346	729
1	1432	634
2	5001	547

prune508.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
0.0b	(+ (+ x y) (- z (* z (log t))))
0.2b	(- z (* z (log t)))
0.3b	(* z (log t))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
24×	`frac-add`
17×	`sum-log`
15×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `log-prod` `associate-*l/`
10×	`add-cube-cbrt` `flip3-+` `flip-+`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
5×	`diff-log`
4×	`associate-r`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

164.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
37.0ms	(+ (+ x y) (- z (* z (log t))))
6.0ms	(- z (* z (log t)))
9.0ms	(* z (log t))

series239.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
33.0ms	(+ (+ x y) (- z (* z (log t))))
46.0ms	(- z (* z (log t)))
37.0ms	(* z (log t))

simplify115.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	867	1328
1	4366	1285
2	5001	1283

prune396.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (+ x y) (* (- 1 (log t)) z))
0.0b	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
0.3b	(* (- 1 (log t)) z)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

22.0ms	(* (- a 0.5) b)
32.0ms	(+ (+ x y) (* (- 1 (log t)) z))
122.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
31.0ms	(* (- 1 (log t)) z)

series274.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- a 0.5) b)
36.0ms	(+ (+ x y) (* (- 1 (log t)) z))
144.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
67.0ms	(* (- 1 (log t)) z)

simplify102.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	862	1171
1	4386	1138
2	5001	1138

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

393.0ms	9215×	body	80	valid
333.0ms	9262×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid