Details

sample100.0ms

Algorithm

intervals

Results

27.0ms	50×	body	1280	valid
18.0ms	37×	body	10240	exit
13.0ms	45×	body	640	valid
6.0ms	117×	body	80	valid
4.0ms	16×	body	160	valid
4.0ms	3×	body	2560	valid
4.0ms	26×	body	320	valid
2.0ms	71×	body	80	nan
1.0ms	4×	body	1280	nan
1.0ms	5×	body	640	nan
1.0ms	5×	body	320	nan
0.0ms	6×	body	160	nan

simplify232.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	35	7
2	53	7
3	81	7
4	121	7
5	250	7
6	314	7
7	532	7
8	908	7
9	1397	7
10	1553	7
11	1892	7
12	4682	7
13	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.3b	(+ (- 1.0 y) (* y (exp z)))
2.5b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1` `associate-+l+`
9×	`prod-diff` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`fma-def` `log-pow`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* y (exp z))
24.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
15.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* y (exp z))
149.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
34.0ms	(+ (- 1.0 y) (* y (exp z)))
73.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	499	918
1	2002	785
2	5001	761

prune367.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.3b

localize15.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ (* z y) t)
5.3b	(fma (/ (* z y) t) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
5.7b	(* (pow z 2) y)
6.1b	(/ (* (pow z 2) y) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
7×	`prod-exp`
6×	`times-frac` `div-exp` `associate-/r*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r` `cbrt-unprod`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 87

Calls

4 calls:

5.0ms	(/ (* z y) t)
0.0ms	(fma (/ (* z y) t) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
6.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series146.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z y) t)
89.0ms	(fma (/ (* z y) t) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
19.0ms	(* (pow z 2) y)
19.0ms	(/ (* (pow z 2) y) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	301	473
1	1345	406
2	5001	406

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize19.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
5.3b	(fma (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t))) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
5.7b	(* (pow z 2) y)
6.1b	(/ (* (pow z 2) y) t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`add-exp-log`
31×	`times-frac`
25×	`associate-r` `add-cbrt-cube`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-l`
14×	`prod-exp`
11×	`cbrt-prod` `div-exp`
10×	`cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv`
6×	`pow1`
4×	`expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `fma-udef` `associate-/l*`

Counts

4 → 125

Calls

4 calls:

24.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
0.0ms	(fma (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t))) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
8.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series213.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
130.0ms	(fma (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t))) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
17.0ms	(* (pow z 2) y)
18.0ms	(/ (* (pow z 2) y) t)

simplify89.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	591	1059
1	3117	912
2	5001	873

prune518.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.3b

localize16.0ms

Local error

Found 4 expressions with local error:

3.0b	(* z (/ y t))
5.3b	(fma (* z (/ y t)) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
5.7b	(* (pow z 2) y)
6.1b	(/ (* (pow z 2) y) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r` `add-cbrt-cube`
13×	`times-frac`
11×	`associate-l`
8×	`prod-exp`
6×	`pow1` `unswap-sqr`
5×	`div-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*`
2×	`pow-to-exp` `pow-exp` `*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `fma-udef` `associate-/l`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* z (/ y t))
0.0ms	(fma (* z (/ y t)) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
6.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series155.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* z (/ y t))
93.0ms	(fma (* z (/ y t)) 1.0 (fma 0.5 (/ (* (pow z 2) y) t) (/ (log 1.0) t)))
18.0ms	(* (pow z 2) y)
19.0ms	(/ (* (pow z 2) y) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	362	521
1	1695	452
2	5002	452

prune340.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.3b

regimes482.0ms

Accuracy

72.4% (4.5b remaining)

Error of 8.6b against oracle of 4.1b and baseline of 20.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	32
1	39	32

end0.0ms

sample3.0s

Algorithm

intervals

Results

777.0ms	1477×	body	1280	valid
703.0ms	1440×	body	10240	exit
450.0ms	1564×	body	640	valid
213.0ms	3563×	body	80	valid
154.0ms	862×	body	320	valid
107.0ms	84×	body	2560	valid
93.0ms	2477×	body	80	nan
54.0ms	477×	body	160	valid
41.0ms	221×	body	640	nan
33.0ms	104×	body	1280	nan
23.0ms	182×	body	320	nan
9.0ms	114×	body	160	nan