Details

sample103.0ms

Algorithm

intervals

Results

25.0ms	52×	body	1280	valid
20.0ms	43×	body	10240	exit
12.0ms	44×	body	640	valid
9.0ms	112×	body	80	valid
5.0ms	28×	body	320	valid
3.0ms	2×	body	2560	valid
3.0ms	85×	body	80	nan
2.0ms	12×	body	640	nan
2.0ms	19×	body	160	valid
1.0ms	4×	body	1280	nan
1.0ms	7×	body	320	nan
0.0ms	2×	body	160	nan

simplify207.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.8b	(log (+ (- 1.0 y) (* y (exp z))))
4.1b	(+ (- 1.0 y) (* y (exp z)))

rewrite134.0ms

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:

50.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
35.0ms	(log (+ (- 1.0 y) (* y (exp z))))
48.0ms	(+ (- 1.0 y) (* y (exp z)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

177.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
75.0ms	(log (+ (- 1.0 y) (* y (exp z))))
35.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (49.0ms)

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

prune238.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.8b

localize17.0ms

Local error

Found 4 expressions with local error:

4.6b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.8b	(/ (* z y) t)
8.6b	(* (pow z 2) y)
9.0b	(/ (* (pow z 2) y) t)

rewrite88.0ms

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:

54.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
9.0ms	(/ (* z y) t)
11.0ms	(* (pow z 2) y)
11.0ms	(/ (* (pow z 2) y) t)

series155.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
20.0ms	(/ (* z y) t)
21.0ms	(* (pow z 2) y)
21.0ms	(/ (* (pow z 2) y) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	493	659
1	2291	586
2	5001	586

prune322.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.4b

localize227.0ms

Local error

Found 4 expressions with local error:

4.6b	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.9b	(/ t (* z y))
8.6b	(* (pow z 2) y)
9.0b	(/ (* (pow z 2) y) t)

rewrite98.0ms

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` `frac-add`
7×	`prod-exp`
6×	`times-frac` `div-exp`
5×	`associate-*r/`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-/r` `associate-/l` `unswap-sqr`
3×	`flip3-+` `associate-r` `sum-log` `un-div-inv` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 90

Calls

4 calls:

66.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
7.0ms	(/ t (* z y))
11.0ms	(* (pow z 2) y)
11.0ms	(/ (* (pow z 2) y) t)

series193.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(/ t (* z y))
19.0ms	(* (pow z 2) y)
23.0ms	(/ (* (pow z 2) y) t)

simplify74.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	537	799
1	2508	716
2	5002	713

prune333.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize22.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ (* z y) (* (cbrt t) (cbrt t)))
4.6b	(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
8.6b	(* (pow z 2) y)
9.0b	(/ (* (pow z 2) y) t)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
19×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`div-exp` `associate-l`
6×	`cbrt-undiv` `cbrt-unprod`
4×	`pow1` `unpow-prod-down` `times-frac` `associate-r/` `frac-add` `associate-/r` `unswap-sqr`
3×	`associate-r` `sum-log`
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:

14.0ms	(/ (* z y) (* (cbrt t) (cbrt t)))
70.0ms	(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
12.0ms	(* (pow z 2) y)
13.0ms	(/ (* (pow z 2) y) t)

series284.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ (* z y) (* (cbrt t) (cbrt t)))
117.0ms	(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
22.0ms	(* (pow z 2) y)
22.0ms	(/ (* (pow z 2) y) t)

simplify79.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	582	873
1	2841	761
2	5001	750

prune325.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.4b

regimes636.0ms

Accuracy

71.7% (4.8b remaining)

Error of 8.8b against oracle of 4.0b and baseline of 20.9b

bsearch145.0ms

Steps

Iters	Range		Point
8	2.6474833247400647e-96	1.762045633081938e-93	4.549364555403628e-95
8	-8.744032506619758	-0.007402571928667657	-0.012438934411162209

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	33
1	59	33

end0.0ms

sample3.2s

Algorithm

intervals

Results

773.0ms	1506×	body	1280	valid
729.0ms	1549×	body	10240	exit
436.0ms	1541×	body	640	valid
200.0ms	3504×	body	80	valid
160.0ms	920×	body	320	valid
93.0ms	73×	body	2560	valid
90.0ms	2515×	body	80	nan
51.0ms	491×	body	160	valid
50.0ms	267×	body	640	nan
31.0ms	114×	body	1280	nan
22.0ms	184×	body	320	nan
8.0ms	99×	body	160	nan