Details

sample111.0ms

Algorithm

intervals

Results

39.0ms	847×	body	80	nan
11.0ms	205×	body	80	valid
7.0ms	22×	body	640	valid
3.0ms	4×	body	1280	valid
3.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b	(* (- x 1.0) (log y))
5.2b	(log (- 1.0 y))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 94

Calls

4 calls:

30.0ms	(* (- z 1.0) (log (- 1.0 y)))
78.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
23.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series276.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- z 1.0) (log (- 1.0 y)))
145.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
53.0ms	(* (- x 1.0) (log y))
39.0ms	(log (- 1.0 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	498	803
1	1805	714
2	5001	701

prune314.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b	(* (- x 1.0) (log y))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
55×	`*-un-lft-identity`
46×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
13×	`associate-l` `add-cbrt-cube`
12×	`pow1` `log-prod` `prod-exp`
9×	`div-exp` `add-log-exp`
8×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
7×	`associate--l+`
6×	`pow-to-exp` `pow-exp`
5×	`distribute-lft-out--`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `difference-of-squares`
3×	`sub-neg` `associate-r/` `pow-prod-down` `-commutative`
2×	`diff-log` `log-pow`
1×	`cbrt-undiv` `sum-log` `div-inv`

Counts

4 → 196

Calls

4 calls:

86.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
37.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
80.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
23.0ms	(* (- x 1.0) (log y))

series398.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
49.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
63.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
53.0ms	(* (- x 1.0) (log y))

simplify105.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	1020	1850
1	4567	1639
2	5002	1636

prune713.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`frac-add`
3×	`pow1/3`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

27.0ms	(* (- x 1.0) (log (cbrt y)))
37.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series622.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (- x 1.0) (log (cbrt y)))
156.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
166.0ms	(cbrt y)
189.0ms	(cbrt y)

simplify74.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	522	1002
1	2415	876
2	5003	829

prune675.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.7b	(cbrt y)
0.7b	(cbrt (sqrt y))
0.7b	(cbrt (sqrt y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

18.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series607.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
178.0ms	(cbrt y)
138.0ms	(cbrt (sqrt y))
142.0ms	(cbrt (sqrt y))

simplify124.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	165	646
1	600	603
2	3117	550
3	5001	487

prune483.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	26
1	39	26

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	23974×	body	80	nan
301.0ms	5867×	body	80	valid
222.0ms	750×	body	640	valid
152.0ms	259×	body	1280	valid
129.0ms	736×	body	320	valid
45.0ms	419×	body	160	valid