Details

sample186.0ms

Algorithm

intervals

Results

90.0ms	998×	body	80	nan
32.0ms	299×	body	80	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)
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))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

65.0ms	(+ (+ (+ (* x (log y)) z) t) a)
268.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
13.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series407.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (+ (+ (* x (log y)) z) t) a)
232.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
59.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	563	885
1	2381	827
2	5001	813

prune401.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite22.0ms

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)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series554.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
99.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
178.0ms	(cbrt y)
186.0ms	(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

prune597.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
40×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod` `unpow-prod-down`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r` `sqr-pow`
3×	`pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
14.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series582.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (log (cbrt y)))
136.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
174.0ms	(cbrt y)
175.0ms	(pow y 1/3)

simplify68.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	476	771
1	1845	671
2	5002	505

prune626.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
0.4b	(* 2/3 (log y))
0.5b	(cbrt (sqrt y))
0.5b	(cbrt (sqrt y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
19×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-+r+` `sqrt-prod`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `add-cbrt-cube`
5×	`add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

6.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
4.0ms	(* 2/3 (log y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series772.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
148.0ms	(* 2/3 (log y))
152.0ms	(cbrt (sqrt y))
155.0ms	(cbrt (sqrt y))

simplify103.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	302	523
1	890	479
2	3326	445
3	5001	445

prune476.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes474.0ms

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	39	17
1	39	17

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.4s	27716×	body	80	nan
1.0s	9230×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid