Details

sample103.0ms

Algorithm

intervals

Results

26.0ms	49×	body	1280	valid
21.0ms	41×	body	10240	exit
16.0ms	55×	body	640	valid
6.0ms	101×	body	80	valid
6.0ms	31×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	72×	body	80	nan
2.0ms	18×	body	160	valid
2.0ms	8×	body	640	nan
1.0ms	4×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	3×	body	160	nan

simplify230.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 25.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.1b	(log (+ (- 1.0 y) (* y (exp z))))
2.4b	(+ (- 1.0 y) (* y (exp z)))

rewrite57.0ms

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))
24.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(log (+ (- 1.0 y) (* y (exp z))))
14.0ms	(+ (- 1.0 y) (* y (exp z)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (exp z))
181.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
83.0ms	(log (+ (- 1.0 y) (* y (exp z))))
39.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

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

prune297.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize21.0ms

Local error

Found 4 expressions with local error:

5.3b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.4b	(/ (* z y) t)
6.7b	(/ (* (pow z 2) y) t)
7.7b	(* (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)

series168.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(/ (* z y) t)
27.0ms	(/ (* (pow z 2) y) t)
20.0ms	(* (pow z 2) y)

simplify73.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

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

prune347.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

localize18.0ms

Local error

Found 4 expressions with local error:

5.3b	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.4b	(* (* z y) (/ 1 t))
6.7b	(/ (* (pow z 2) y) t)
7.7b	(* (pow z 2) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

50.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
11.0ms	(* (* z y) (/ 1 t))
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series161.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(* (* z y) (/ 1 t))
21.0ms	(/ (* (pow z 2) y) t)
20.0ms	(* (pow z 2) y)

simplify111.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	673	881
1	3458	770
2	5001	752

prune376.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.5b

localize24.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (pow z 2) y)
21.0b	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
21.0b	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
21.0b	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
24×	`cbrt-div` `frac-add`
16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod` `flip3-+` `un-div-inv` `flip-+`
8×	`associate-l`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-r` `prod-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (pow z 2) y)
45.0ms	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
44.0ms	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
46.0ms	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (pow z 2) y)
292.0ms	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
301.0ms	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
299.0ms	(cbrt (+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

simplify78.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	514	2124
1	1924	1981
2	5001	1972

prune494.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 2.5b

regimes741.0ms

Accuracy

72.3% (4.5b remaining)

Error of 8.1b against oracle of 3.5b and baseline of 20.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	22
1	43	22

end0.0ms

sample3.1s

Algorithm

intervals

Results

772.0ms	1567×	body	10240	exit
761.0ms	1438×	body	1280	valid
465.0ms	1643×	body	640	valid
218.0ms	3542×	body	80	valid
162.0ms	880×	body	320	valid
94.0ms	69×	body	2560	valid
91.0ms	2490×	body	80	nan
60.0ms	301×	body	640	nan
51.0ms	458×	body	160	valid
31.0ms	107×	body	1280	nan
25.0ms	188×	body	320	nan
9.0ms	115×	body	160	nan