Details

sample133.0ms

Algorithm

intervals

Results

54.0ms	900×	body	80	nan
19.0ms	299×	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

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

15.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
10.0ms	(+ (+ (+ (* x (log y)) z) t) a)
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series713.0ms

Counts

4 → 12

Calls

4 calls:

534.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
79.0ms	(+ (+ (+ (* x (log y)) z) t) a)
59.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	488	720
1	1959	645
2	5001	625

prune329.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite29.0ms

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:

5.0ms	(* x (log y))
18.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series569.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (log y))
169.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
178.0ms	(cbrt c)
178.0ms	(cbrt c)

simplify64.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

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

prune691.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (pow (/ 1 c) -1/3))
0.2b	(* x (log y))
0.4b	(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
5.0b	(pow (/ 1 c) -1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
23×	`log-prod`
19×	`add-exp-log`
18×	`times-frac`
11×	`pow1`
8×	`pow-exp` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`rem-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`div-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `log-pow`
2×	`pow-to-exp` `sub-neg` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `sqr-pow`
1×	`flip3--` `pow-flip` `flip--` `inv-pow`

Counts

4 → 113

Calls

4 calls:

5.0ms	(log (pow (/ 1 c) -1/3))
5.0ms	(* x (log y))
6.0ms	(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
5.0ms	(pow (/ 1 c) -1/3)

series636.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(log (pow (/ 1 c) -1/3))
43.0ms	(* x (log y))
164.0ms	(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
181.0ms	(pow (/ 1 c) -1/3)

simplify56.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	486	717
1	1953	595
2	5003	546

prune504.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 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)))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series585.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
199.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (47.0ms)

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

prune596.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes606.0ms

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	36	18
1	36	18

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27293×	body	80	nan
594.0ms	9149×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid