Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	293×	body	80	valid
8.0ms	226×	body	80	nan

simplify56.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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)))
0.2b	(* z (log t))

rewrite39.0ms

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:

12.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
9.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series233.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(* (- a 0.5) b)
34.0ms	(- (+ (+ x y) z) (* z (log t)))
38.0ms	(* z (log t))

simplify76.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5001	712

prune308.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
6.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
4.0ms	(* z (log t))
3.0ms	(- z (* z (log t)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
73.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
36.0ms	(* z (log t))
46.0ms	(- z (* z (log t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	477	594
1	2041	551
2	5002	542

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(- 1 (log t))
0.0b	(+ (* (- 1 (log t)) z) (* (- a 0.5) b))
0.2b	(* (- 1 (log t)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
4.0ms	(- 1 (log t))
8.0ms	(+ (* (- 1 (log t)) z) (* (- a 0.5) b))
7.0ms	(* (- 1 (log t)) z)

series320.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- a 0.5) b)
132.0ms	(- 1 (log t))
89.0ms	(+ (* (- 1 (log t)) z) (* (- a 0.5) b))
70.0ms	(* (- 1 (log t)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	463	537
1	2008	498
2	5002	497

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`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 → 96

Calls

4 calls:

7.0ms	(* z (* 2 (log (cbrt t))))
6.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series565.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* z (* 2 (log (cbrt t))))
94.0ms	(* z (log (cbrt t)))
190.0ms	(cbrt t)
183.0ms	(cbrt t)

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	292	646
1	1160	565
2	5001	541

prune370.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes278.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

427.0ms	9142×	body	80	valid
346.0ms	9022×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid