Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

284×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.0b	(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)

series210.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ y (- a t))
181.0ms	(fma (/ y (- a t)) (- z t) x)

simplify106.0ms

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

prune156.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* y (/ 1 (- a t)))
3.0b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite27.0ms

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))
17.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series257.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- a t))
33.0ms	(* y (/ 1 (- a t)))
188.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify71.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (29.0ms)

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

prune257.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
3.0b	(fma (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ 1 (cbrt (- a t)))) (- z t) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
0.0ms	(fma (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ 1 (cbrt (- a t)))) (- z t) x)

series665.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (- a t))
155.0ms	(cbrt (- a t))
162.0ms	(cbrt (- a t))
192.0ms	(fma (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ 1 (cbrt (- a t)))) (- z t) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	190	514
1	453	473
2	1644	462
3	5001	435

prune299.0ms

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 (- a t))
0.0b	(+ (* (/ y (- a t)) z) (* (- t) (/ y (- a t))))
6.1b	(* (/ y (- a t)) z)
10.7b	(* (- t) (/ y (- a t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
36×	`add-cube-cbrt`
31×	`associate-l`
24×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`cbrt-undiv` `distribute-lft-neg-out` `distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `div-exp` `flip--` `div-inv` `associate-/l*`
2×	`associate-r/` `pow-prod-down` `associate-l/` `*-commutative`
1×	`+-commutative` `neg-mul-1` `fma-def` `frac-2neg` `flip3-+` `unsub-neg` `frac-add` `clear-num` `sum-log` `flip-+`

Counts

4 → 148

Calls

4 calls:

6.0ms	(/ y (- a t))
6.0ms	(+ (* (/ y (- a t)) z) (* (- t) (/ y (- a t))))
19.0ms	(* (/ y (- a t)) z)
20.0ms	(* (- t) (/ y (- a t)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ y (- a t))
187.0ms	(+ (* (/ y (- a t)) z) (* (- t) (/ y (- a t))))
95.0ms	(* (/ y (- a t)) z)
63.0ms	(* (- t) (/ y (- a t)))

simplify68.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	525	850
1	2504	785
2	5001	772

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes231.0ms

Accuracy

88.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	35
1	56	35
2	62	35
3	62	35

end0.0ms

sample727.0ms

Algorithm

intervals

Results

468.0ms	8743×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid