Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

350×

body

valid

simplify136.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

1.7b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (/ y t) (- z x) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
1.7b	(fma (/ y t) (- z x) x)
1.7b	(fma (/ y t) (- z x) x)
1.7b	(fma (/ y t) (- z x) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series307.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (fma (/ y t) (- z x) x))
35.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5001	255

prune172.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `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 → 88

Calls

3 calls:

11.0ms	(* y (- z x))
5.0ms	(+ x (/ (* y (- z x)) t))
13.0ms	(/ (* y (- z x)) t)

series135.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* y (- z x))
44.0ms	(+ x (/ (* y (- z x)) t))
52.0ms	(/ (* y (- z x)) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	377	600
1	1715	428
2	5003	420

prune186.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z x) t)))
0.0b	(/ (- z x) t)
5.6b	(* y (/ (- z x) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 96

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z x) t)))
9.0ms	(/ (- z x) t)
15.0ms	(* y (/ (- z x) t))

series126.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (* y (/ (- z x) t)))
34.0ms	(/ (- z x) t)
52.0ms	(* y (/ (- z x) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	353	521
1	1438	485
2	5001	470

prune243.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

-29.3% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.0b

bsearch75.0ms

Steps

Iters	Range		Point
7	2.731810396391455e-75	2.91409418487268e-73	5.149163357960764e-75
7	-1.1095929358571949e-172	-8.18782140230201e-175	-1.1590474821673665e-174

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample813.0ms

Algorithm

intervals

Results

522.0ms

10668×

body

valid