Details

sample34.0ms

Algorithm

intervals

Results

20.0ms

285×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.2b	(fma (/ (- y z) (- a z)) t x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

15.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series126.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
73.0ms	(fma (/ (- y z) (- a z)) t x)

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune195.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
1.2b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

12.0ms	(/ (- a z) (- y z))
14.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series570.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a z) (- y z))
136.0ms	(/ 1 (/ (- a z) (- y z)))
387.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify75.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	620	1891
1	2764	1708
2	5002	1537

prune405.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.1b	(/ 1 (/ (- y z) (- a z)))
0.3b	(/ 1 (/ 1 (/ (- y z) (- a z))))
1.2b	(fma (/ 1 (/ 1 (/ (- y z) (- a z)))) t x)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

1184×	`times-frac`
795×	`add-sqr-sqrt` `*-un-lft-identity`
451×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
60×	`add-exp-log`
43×	`div-exp`
40×	`associate-/r/`
23×	`div-inv`
20×	`add-cbrt-cube`
18×	`flip3--` `flip--`
15×	`rec-exp` `1-exp`
11×	`associate-/l*`
10×	`cbrt-undiv`
7×	`pow1`
5×	`pow-flip`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`associate-/l/`
1×	`div-sub` `fma-udef` `remove-double-div`

Counts

4 → 651

Calls

4 calls:

12.0ms	(/ (- y z) (- a z))
15.0ms	(/ 1 (/ (- y z) (- a z)))
36.0ms	(/ 1 (/ 1 (/ (- y z) (- a z))))
0.0ms	(fma (/ 1 (/ 1 (/ (- y z) (- a z)))) t x)

series303.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- y z) (- a z))
130.0ms	(/ 1 (/ (- y z) (- a z)))
47.0ms	(/ 1 (/ 1 (/ (- y z) (- a z))))
78.0ms	(fma (/ 1 (/ 1 (/ (- y z) (- a z)))) t x)

simplify107.0ms

Algorithm

egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1624	7337
1	5001	5976

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
9.7b	(/ (* (- y z) t) (- a z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-r` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

11.0ms	(+ x (/ (* (- y z) t) (- a z)))
10.0ms	(* (- y z) t)
10.0ms	(/ (* (- y z) t) (- a z))

series187.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ x (/ (* (- y z) t) (- a z)))
31.0ms	(* (- y z) t)
73.0ms	(/ (* (- y z) t) (- a z))

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	340	395
1	1442	355
2	5001	353

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

56.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.3b

bsearch126.0ms

Steps

Iters	Range		Point
8	1.008627214842878e-48	7.209618659221198e-46	8.706900805335214e-48
11	-3.5223794056915216e+55	-2.7139041588347048e+32	-4.432913896338536e+32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	30	16
2	30	16

end0.0ms

sample929.0ms

Algorithm

intervals

Results

648.0ms	8767×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid