Details

sample104.0ms

Algorithm

intervals

Results

23.0ms	44×	body	1280	valid
22.0ms	46×	body	10240	exit
17.0ms	61×	body	640	valid
6.0ms	36×	body	320	valid
6.0ms	94×	body	80	valid
4.0ms	3×	body	2560	valid
4.0ms	102×	body	80	nan
2.0ms	19×	body	160	valid
1.0ms	6×	body	640	nan
1.0ms	7×	body	320	nan
0.0ms	1×	body	1280	nan
0.0ms	1×	body	160	nan

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.5b	(+ (- 1.0 y) (* y (exp z)))
2.6b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `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` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
26.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (exp z))
163.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
39.0ms	(+ (- 1.0 y) (* y (exp z)))
77.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune261.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1 (exp z)) y)
0.0b	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
2.4b	(log (- 1.0 (* (- 1 (exp z)) y)))
3.2b	(- 1 (exp z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l` `add-log-exp`
5×	`log-pow`
4×	`log-div` `flip3--` `flip--` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`div-sub` `associate-*l/` `distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (- 1 (exp z)) y)
7.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0ms	(- 1 (exp z))

series234.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- 1 (exp z)) y)
119.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
60.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
14.0ms	(- 1 (exp z))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	450	786
1	1808	729
2	5001	725

prune266.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (- 1.0 (* (- 1 (exp z)) y))) 3)
0.1b	(cbrt (pow (log (- 1.0 (* (- 1 (exp z)) y))) 3))
2.4b	(log (- 1.0 (* (- 1 (exp z)) y)))
3.2b	(- 1 (exp z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `log-div` `flip3--` `unpow3` `flip--` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 77

Calls

4 calls:

2.0ms	(pow (log (- 1.0 (* (- 1 (exp z)) y))) 3)
2.0ms	(cbrt (pow (log (- 1.0 (* (- 1 (exp z)) y))) 3))
2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0ms	(- 1 (exp z))

series282.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(pow (log (- 1.0 (* (- 1 (exp z)) y))) 3)
60.0ms	(cbrt (pow (log (- 1.0 (* (- 1 (exp z)) y))) 3))
57.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
14.0ms	(- 1 (exp z))

simplify71.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	643	965
1	3042	918
2	5001	912

prune271.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.6b

localize16.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.3b	(/ (* z y) t)
5.4b	(/ (* (pow z 2) y) t)
9.7b	(* (pow z 2) y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`associate-l`
7×	`prod-exp`
6×	`times-frac` `div-exp` `associate-/r*`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-*r/` `frac-add` `unswap-sqr`
3×	`associate-r` `sum-log` `cbrt-unprod`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `flip-+` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 87

Calls

4 calls:

31.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.0ms	(/ (* z y) t)
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series148.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
19.0ms	(/ (* z y) t)
19.0ms	(/ (* (pow z 2) y) t)
20.0ms	(* (pow z 2) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	492	659
1	2299	586
2	5001	586

prune284.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.0b

regimes298.0ms

Accuracy

53.1% (4.9b remaining)

Error of 8.8b against oracle of 3.9b and baseline of 14.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	23
1	43	23

end0.0ms

sample3.1s

Algorithm

intervals

Results

758.0ms	1516×	body	10240	exit
757.0ms	1442×	body	1280	valid
457.0ms	1570×	body	640	valid
217.0ms	3529×	body	80	valid
176.0ms	938×	body	320	valid
119.0ms	97×	body	2560	valid
95.0ms	2548×	body	80	nan
53.0ms	266×	body	640	nan
50.0ms	451×	body	160	valid
33.0ms	106×	body	1280	nan
20.0ms	154×	body	320	nan
7.0ms	87×	body	160	nan