Details

sample117.0ms

Algorithm

intervals

Results

31.0ms	63×	body	1280	valid
23.0ms	46×	body	10240	exit
11.0ms	40×	body	640	valid
6.0ms	109×	body	80	valid
6.0ms	75×	body	80	nan
6.0ms	4×	body	2560	valid
5.0ms	24×	body	320	valid
2.0ms	18×	body	160	valid
2.0ms	6×	body	1280	nan
1.0ms	8×	body	640	nan
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan

simplify226.0ms

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: 26.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.2b	(log (+ (- 1.0 y) (* y (exp z))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite123.0ms

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:

12.0ms	(* y (exp z))
57.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
23.0ms	(log (+ (- 1.0 y) (* y (exp z))))
29.0ms	(+ (- 1.0 y) (* y (exp z)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* y (exp z))
170.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
80.0ms	(log (+ (- 1.0 y) (* y (exp z))))
37.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

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

prune305.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* y (exp z)))
0.3b	(* (cbrt (* y (exp z))) (cbrt (* y (exp z))))
3.1b	(log (+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z))))))
13.4b	(+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z)))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
7×	`add-exp-log` `pow1/3`
5×	`cbrt-prod`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube`
3×	`log-prod`
2×	`log-div` `associate-+l+` `flip3-+` `pow-prod-down` `sum-log` `pow-sqr` `pow-prod-up` `flip-+`
1×	`+-commutative` `pow2` `associate-+l-` `sub-neg` `pow-plus` `diff-log` `rem-log-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

7.0ms	(cbrt (* y (exp z)))
18.0ms	(* (cbrt (* y (exp z))) (cbrt (* y (exp z))))
59.0ms	(log (+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z))))))
53.0ms	(+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z)))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt (* y (exp z)))
114.0ms	(* (cbrt (* y (exp z))) (cbrt (* y (exp z))))
95.0ms	(log (+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z))))))
59.0ms	(+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	411	1002
1	1555	827
2	5001	703

prune313.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
4.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.0b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

24.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
10.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
27.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
40.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series432.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
74.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
93.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
130.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	402	953
1	1641	882
2	5001	876

prune328.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.4b	(/ (* z y) t)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

62.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
10.0ms	(/ (* z y) t)

series114.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
24.0ms	(/ (* z y) t)

simplify94.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune107.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.6b

regimes622.0ms

Accuracy

62.6% (4.9b remaining)

Error of 9.0b against oracle of 4.1b and baseline of 17.3b

bsearch185.0ms

Steps

Iters	Range		Point
9	2.7560111609378007e-104	5.09476566592794e-99	2.1550363957438913e-100
9	-2.123435313099661e-25	-7.410899193841486e-31	-2.0867858317590094e-25

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	32
1	52	32

end0.0ms

sample3.3s

Algorithm

intervals

Results

791.0ms	1505×	body	1280	valid
720.0ms	1466×	body	10240	exit
448.0ms	1552×	body	640	valid
209.0ms	3481×	body	80	valid
173.0ms	909×	body	320	valid
101.0ms	78×	body	2560	valid
92.0ms	2448×	body	80	nan
57.0ms	273×	body	640	nan
57.0ms	498×	body	160	valid
27.0ms	96×	body	1280	nan
24.0ms	187×	body	320	nan
10.0ms	118×	body	160	nan