Details

sample84.0ms

Algorithm

intervals

Results

24.0ms	46×	body	1280	valid
12.0ms	43×	body	640	valid
8.0ms	133×	body	80	valid
4.0ms	84×	body	80	overflowed
4.0ms	3×	body	2560	valid
3.0ms	17×	body	320	valid
2.0ms	66×	body	80	nan
2.0ms	14×	body	160	valid
2.0ms	9×	body	640	nan
1.0ms	3×	body	1280	nan
1.0ms	7×	body	160	nan
0.0ms	4×	body	320	nan

simplify214.0ms

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: 21.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.8b	(+ (- 1.0 y) (* y (exp z)))
1.9b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite120.0ms

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:

13.0ms	(* y (exp z))
57.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
29.0ms	(+ (- 1.0 y) (* y (exp z)))
20.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
146.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
40.0ms	(+ (- 1.0 y) (* y (exp z)))
68.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (44.0ms)

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

prune290.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1 (exp z)) y)
0.0b	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
1.9b	(log (- 1.0 (* (- 1 (exp z)) y)))
3.9b	(- 1 (exp z))

rewrite62.0ms

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:

33.0ms	(* (- 1 (exp z)) y)
15.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
4.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
8.0ms	(- 1 (exp z))

series219.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- 1 (exp z)) y)
113.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
57.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
13.0ms	(- 1 (exp z))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (43.0ms)

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

prune305.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(log (- 1.0 (* (- 1 (exp z)) y)))
1.9b	(log (- 1.0 (* (- 1 (exp z)) y)))
3.9b	(- 1 (exp z))
3.9b	(- 1 (exp z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `log-prod`
4×	`log-div` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `diff-log` `rem-log-exp` `log-pow` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

4.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
4.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
8.0ms	(- 1 (exp z))
8.0ms	(- 1 (exp z))

series339.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
258.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
13.0ms	(- 1 (exp z))
12.0ms	(- 1 (exp z))

simplify145.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	259	520
1	1018	472
2	4986	460
3	5001	460

prune289.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(log (- 1.0 (* (- 1 (exp z)) y)))
1.9b	(log (- 1.0 (* (- 1 (exp z)) y)))
3.9b	(- 1 (exp z))
3.9b	(- 1 (exp z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `log-prod`
4×	`log-div` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `diff-log` `rem-log-exp` `log-pow` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

4.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
4.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
8.0ms	(- 1 (exp z))
8.0ms	(- 1 (exp z))

series131.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
53.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
11.0ms	(- 1 (exp z))
12.0ms	(- 1 (exp z))

simplify141.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	259	520
1	1018	472
2	4986	460
3	5001	460

prune262.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.7b

regimes286.0ms

Accuracy

60.4% (4.4b remaining)

Error of 5.6b against oracle of 1.2b and baseline of 12.3b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	20
1	39	20

end0.0ms

sample2.5s

Algorithm

intervals

Results

730.0ms	1388×	body	1280	valid
394.0ms	1437×	body	640	valid
228.0ms	3962×	body	80	valid
128.0ms	742×	body	320	valid
119.0ms	2510×	body	80	overflowed
104.0ms	79×	body	2560	valid
93.0ms	2723×	body	80	nan
56.0ms	289×	body	640	nan
45.0ms	420×	body	160	valid
37.0ms	130×	body	1280	nan
26.0ms	206×	body	320	nan
12.0ms	119×	body	160	nan