Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

322×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.9b	(/ (* (- y x) z) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

4.0ms	(+ x (/ (* (- y x) z) t))
9.0ms	(* (- y x) z)
6.0ms	(/ (* (- y x) z) t)

series106.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (/ (* (- y x) z) t))
32.0ms	(* (- y x) z)
41.0ms	(/ (* (- y x) z) t)

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune132.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.6b	(* (- y x) (/ z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
15.0ms	(* (- y x) (/ z t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune121.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.1b	(/ (- y x) (/ t z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

27.0ms	(+ x (/ (- y x) (/ t z)))
14.0ms	(/ (- y x) (/ t z))

series274.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (- y x) (/ t z)))
240.0ms	(/ (- y x) (/ t z))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
3.2b	(* (cbrt (- y x)) (/ z t))
4.6b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
15.0ms	(* (cbrt (- y x)) (/ z t))
48.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- y x))
144.0ms	(cbrt (- y x))
189.0ms	(* (cbrt (- y x)) (/ z t))
46.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	806	2054
1	2665	1859
2	5001	1806

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes106.0ms

Accuracy

14.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.9b

bsearch102.0ms

Steps

Iters	Range		Point
10	1.64577538054275e-40	1.7382738099505427e-22	2.3482764413141227e-34
10	-4.849992635416103e+82	-7.297986795819438e+67	-7.42763758103976e+67

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample913.0ms

Algorithm

intervals

Results

631.0ms

10635×

body

valid