Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

361×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (/ x y) (- z t) t)

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	268	53
3	1261	53
4	5002	53

prune29.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.8b	(* (/ x y) (- z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

13.0ms	(+ (* (/ x y) (- z t)) t)
18.0ms	(* (/ x y) (- z t))

series92.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (/ x y) (- z t)) t)
53.0ms	(* (/ x y) (- z t))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	468	779
1	1866	547
2	5001	533

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
7.0b	(* x (/ (- z t) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`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` `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--` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 94

Calls

3 calls:

10.0ms	(+ (* x (/ (- z t) y)) t)
9.0ms	(/ (- z t) y)
15.0ms	(* x (/ (- z t) y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x (/ (- z t) y)) t)
26.0ms	(/ (- z t) y)
48.0ms	(* x (/ (- z t) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	355	522
1	1429	488
2	5001	473

prune410.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.6b	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 112

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
36.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
180.0ms	(cbrt y)
179.0ms	(cbrt y)
92.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	485	948
1	2619	771
2	5001	736

prune338.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

-2.7% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.7b

bsearch60.0ms

Steps

Iters	Range		Point
6	2.027275754687453e-96	1.373774872959324e-95	3.677686715390962e-96
7	4.7236819952634025e-259	1.454974542591104e-257	3.9907548414935313e-258

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample536.0ms

Algorithm

intervals

Results

280.0ms

10671×

body

valid