Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

275×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.1b	(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series233.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (- a t))
201.0ms	(fma (/ y (- a t)) (- z t) x)

simplify108.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune167.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
2.1b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

6.0ms	(/ 1 (- a t))
20.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series283.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1 (- a t))
32.0ms	(* y (/ 1 (- a t)))
205.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	284	497
1	1119	429
2	4119	381
3	5001	381

prune258.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
8.5b	(* (- z t) (/ y (- a t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

9.0ms	(/ y (- a t))
24.0ms	(* (- z t) (/ y (- a t)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ y (- a t))
77.0ms	(* (- z t) (/ y (- a t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	301	489
1	1365	452
2	5001	452

prune261.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.5b	(* (- z t) (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1`
11×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
6×	`pow-prod-down`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 73

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
60.0ms	(* (- z t) (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))))

series717.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt y)
205.0ms	(cbrt y)
204.0ms	(cbrt y)
104.0ms	(* (- z t) (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	287	550
1	1241	419
2	5002	395

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

46.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.9b

bsearch117.0ms

Steps

Iters	Range		Point
9	95.35967482481263	35632679.75820058	59977.752570629054
9	-1.1128752904747056e-107	-4.047906024567505e-115	-5.610173163155118e-108

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample893.0ms

Algorithm

intervals

Results

621.0ms	8725×	body	80	valid
1.0ms	2×	body	1280	valid