Details

sample96.0ms

Algorithm

intervals

Results

24.0ms	49×	body	1280	valid
17.0ms	35×	body	10240	exit
14.0ms	49×	body	640	valid
7.0ms	111×	body	80	valid
6.0ms	4×	body	2560	valid
5.0ms	29×	body	320	valid
2.0ms	73×	body	80	nan
1.0ms	14×	body	160	valid
1.0ms	6×	body	640	nan
1.0ms	3×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	5×	body	160	nan

simplify216.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.1b	(log (+ (- 1.0 y) (* y (exp z))))
3.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow1` `add-log-exp`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `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` `clear-num` `div-inv`

Counts

3 → 62

Calls

3 calls:

14.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
11.0ms	(+ (- 1.0 y) (* y (exp z)))

series320.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
97.0ms	(log (+ (- 1.0 y) (* y (exp z))))
43.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	403	724
1	1430	668
2	5002	661

prune223.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.0b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
1.2b	(log (+ 1.0 (* (- (exp z) 1) y)))
2.7b	(- (exp z) 1)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`flip3--` `flip3-+` `difference-of-sqr-1` `div-sub` `associate-*l/` `flip--` `flip-+` `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 → 87

Calls

4 calls:

7.0ms	(* (- (exp z) 1) y)
5.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series235.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (exp z) 1) y)
118.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
53.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
17.0ms	(- (exp z) 1)

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	446	792
1	1780	735
2	5001	726

prune292.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.0b	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
1.2b	(log (+ 1.0 (* (- (exp z) 1) y)))
2.7b	(- (exp z) 1)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

7.0ms	(* (- (exp z) 1) y)
7.0ms	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series227.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- (exp z) 1) y)
114.0ms	(* (log (+ 1.0 (* (- (exp z) 1) y))) (/ 1 t))
59.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
13.0ms	(- (exp z) 1)

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	531	785
1	2362	688
2	5001	688

prune294.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (+ 1.0 (* (- (exp z) 1) y))) 3)
0.1b	(cbrt (pow (log (+ 1.0 (* (- (exp z) 1) y))) 3))
1.2b	(log (+ 1.0 (* (- (exp z) 1) y)))
2.7b	(- (exp z) 1)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`cbrt-prod` `*-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` `unpow3` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `pow1/3` `diff-log` `difference-of-sqr-1` `rem-log-exp` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 78

Calls

4 calls:

3.0ms	(pow (log (+ 1.0 (* (- (exp z) 1) y))) 3)
2.0ms	(cbrt (pow (log (+ 1.0 (* (- (exp z) 1) y))) 3))
3.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series283.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow (log (+ 1.0 (* (- (exp z) 1) y))) 3)
63.0ms	(cbrt (pow (log (+ 1.0 (* (- (exp z) 1) y))) 3))
55.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
17.0ms	(- (exp z) 1)

simplify77.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	643	968
1	3014	921
2	5001	915

prune260.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.7b

regimes282.0ms

Accuracy

60.7% (4.0b remaining)

Error of 8.5b against oracle of 4.5b and baseline of 14.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	20
1	41	20

end0.0ms

sample3.0s

Algorithm

intervals

Results

734.0ms	1412×	body	1280	valid
713.0ms	1473×	body	10240	exit
457.0ms	1609×	body	640	valid
204.0ms	3542×	body	80	valid
160.0ms	902×	body	320	valid
120.0ms	96×	body	2560	valid
86.0ms	2477×	body	80	nan
50.0ms	470×	body	160	valid
47.0ms	236×	body	640	nan
31.0ms	108×	body	1280	nan
25.0ms	199×	body	320	nan
8.0ms	104×	body	160	nan