Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

319×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (/ y a) (- z t) 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 a) (- z t) x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune37.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:

23.0ms	(+ (* (/ y a) (- z t)) x)
33.0ms	(* (/ y a) (- z t))

series110.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* (/ y a) (- z t)) x)
55.0ms	(* (/ y a) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	477	779
1	1776	547
2	5001	533

prune247.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (/ y a)) (* (/ y a) (- t)))
0.0b	(+ (+ (* z (/ y a)) (* (/ y a) (- t))) x)
3.9b	(* z (/ y a))
4.6b	(* (/ y a) (- t))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
16×	`associate-l`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-rgt-neg-out`
4×	`expm1-log1p-u` `fma-def` `prod-exp` `sum-log` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `associate-r/` `div-exp` `unsub-neg` `pow-prod-down` `associate-l/` `*-commutative` `flip-+` `div-inv`
1×	`neg-mul-1` `associate-+l+` `frac-add` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

13.0ms	(+ (* z (/ y a)) (* (/ y a) (- t)))
55.0ms	(+ (+ (* z (/ y a)) (* (/ y a) (- t))) x)
14.0ms	(* z (/ y a))
20.0ms	(* (/ y a) (- t))

series150.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* z (/ y a)) (* (/ y a) (- t)))
53.0ms	(+ (+ (* z (/ y a)) (* (/ y a) (- t))) x)
20.0ms	(* z (/ y a))
28.0ms	(* (/ y a) (- t))

simplify62.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	522	661
1	2533	603
2	5001	574

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt z) 3)
2.2b	(* (/ y a) (fma (- t) 1 t))
3.7b	(/ (pow (cbrt z) 3) (/ a y))
4.6b	(* (/ y a) t)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

425×	`times-frac`
238×	`add-sqr-sqrt`
228×	`add-cube-cbrt` `*-un-lft-identity`
90×	`cbrt-prod` `unpow-prod-down` `cube-prod`
28×	`add-exp-log`
26×	`associate-l`
22×	`div-inv`
19×	`add-cbrt-cube`
18×	`associate-/l*`
15×	`cube-mult` `unpow3` `sqr-pow`
13×	`associate-/r*`
11×	`div-exp`
9×	`pow1`
6×	`associate-r`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`pow-pow` `pow-prod-down` `associate-l/` `-commutative` `fma-udef`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow1/3` `clear-num` `associate-/r/` `rem-cube-cbrt`

Counts

4 → 388

Calls

4 calls:

4.0ms	(pow (cbrt z) 3)
15.0ms	(* (/ y a) (fma (- t) 1 t))
24.0ms	(/ (pow (cbrt z) 3) (/ a y))
16.0ms	(* (/ y a) t)

series1.6s

Counts

4 → 12

Calls

4 calls:

219.0ms	(pow (cbrt z) 3)
1.3s	(* (/ y a) (fma (- t) 1 t))
46.0ms	(/ (pow (cbrt z) 3) (/ a y))
24.0ms	(* (/ y a) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

400 → 400

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1084	2928
1	5002	2713

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

58.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.2b

bsearch74.0ms

Steps

Iters	Range		Point
7	2.1868607187317994e-76	1.5216661022516289e-74	8.531444755159096e-75
9	-5.2845402690409646e-33	-3.3784069532724994e-41	-3.890834236040981e-33

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	9
1	33	9
2	33	9

end0.0ms

sample739.0ms

Algorithm

intervals

Results

276.0ms

10665×

body

valid