Details

sample134.0ms

Algorithm

intervals

Results

55.0ms	939×	body	80	nan
19.0ms	304×	body	80	valid

simplify72.0ms

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

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	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite35.0ms

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:

15.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
5.0ms	(+ (* x (log y)) z)
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
50.0ms	(+ (* x (log y)) z)
57.0ms	(* (- b 0.5) (log c))
38.0ms	(* 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

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

4.0ms	(* x (log y))
13.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series536.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (log y))
161.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
168.0ms	(cbrt c)
170.0ms	(cbrt c)

simplify67.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5001	698

prune593.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (log (cbrt (sqrt c))) (- b 0.5)))
0.5b	(cbrt (sqrt c))
0.5b	(cbrt (sqrt c))
0.5b	(cbrt c)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
16×	`frac-add`
15×	`cbrt-prod`
14×	`flip3--` `flip--`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times`
7×	`flip3-+` `flip-+`
6×	`sqrt-prod` `add-log-exp`
4×	`pow1` `add-exp-log` `associate-+r+` `associate-*l/` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`sub-neg` `associate-+l+`
1×	`+-commutative` `sum-log`

Counts

4 → 72

Calls

4 calls:

12.0ms	(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (log (cbrt (sqrt c))) (- b 0.5)))
2.0ms	(cbrt (sqrt c))
2.0ms	(cbrt (sqrt c))
1.0ms	(cbrt c)

series735.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (log (cbrt (sqrt c))) (- b 0.5)))
150.0ms	(cbrt (sqrt c))
142.0ms	(cbrt (sqrt c))
170.0ms	(cbrt c)

simplify115.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	849	1546
1	4289	1436
2	5001	1420

prune627.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

29×	`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 → 74

Calls

4 calls:

1.0ms	(cbrt c)
6.0ms	(* (cbrt c) (cbrt c))
2.0ms	(cbrt (cbrt c))
4.0ms	(cbrt (* (cbrt c) (cbrt c)))

series885.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt c)
197.0ms	(* (cbrt c) (cbrt c))
240.0ms	(cbrt (cbrt c))
266.0ms	(cbrt (* (cbrt c) (cbrt c)))

simplify100.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	169	347
1	616	317
2	3384	286
3	5002	283

prune517.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes536.0ms

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	41	23
1	41	23

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27281×	body	80	nan
599.0ms	9254×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid