Details

sample123.0ms

Algorithm

intervals

Results

48.0ms	863×	body	80	nan
18.0ms	307×	body	80	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(+ (* x (log y)) z)
272.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* x (log y)) z)
226.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
57.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	619	860
1	2417	804
2	5001	793

prune407.0ms

Filtered

108 candidates to 78 candidates (72.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

270.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
13.0ms	(* (log (sqrt c)) (- b 0.5))
11.0ms	(* (log (sqrt c)) (- b 0.5))
4.0ms	(* x (log y))

series456.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
66.0ms	(* (log (sqrt c)) (- b 0.5))
66.0ms	(* (log (sqrt c)) (- b 0.5))
37.0ms	(* x (log y))

simplify59.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	527	953
1	2174	896
2	5001	891

prune461.0ms

Filtered

118 candidates to 78 candidates (66.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt c) (cbrt c))
0.0ms	(cbrt c)
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series738.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt c) (cbrt c))
179.0ms	(cbrt c)
177.0ms	(cbrt c)
174.0ms	(cbrt c)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune442.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite23.0ms

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:

5.0ms	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series556.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
185.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune629.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes552.0ms

Accuracy

0% (0.1b 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	35	19
1	35	19

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27830×	body	80	nan
575.0ms	9259×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid