Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.8b	(* (/ x y) (- z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
16.0ms	(* (/ x y) (- z t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ x y) (- z t)) t)
50.0ms	(* (/ x y) (- z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune131.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
4.7b	(/ (* x (- z t)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `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 → 61

Calls

3 calls:

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

series116.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (/ (* x (- z t)) y) t)
37.0ms	(* x (- z t))
47.0ms	(/ (* x (- z t)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	288	331
1	1163	295
2	5001	283

prune140.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.8b	(* (/ (cbrt x) y) (- z t))
3.9b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
25.0ms	(* (/ (cbrt x) y) (- z t))
59.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series580.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt x)
171.0ms	(cbrt x)
154.0ms	(* (/ (cbrt x) y) (- z t))
84.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	689	1166
1	3520	902
2	5001	763

prune310.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x (/ y (- z t))) t)
0.0b	(/ y (- z t))
5.8b	(/ x (/ y (- z t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

58.0ms	(+ (/ x (/ y (- z t))) t)
6.0ms	(/ y (- z t))
11.0ms	(/ x (/ y (- z t)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (/ x (/ y (- z t))) t)
27.0ms	(/ y (- z t))
56.0ms	(/ x (/ y (- z t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	537	1153
1	2360	1113
2	5002	1110

prune341.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes163.0ms

Accuracy

34.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch79.0ms

Steps

Iters	Range		Point
9	0.23449948331106904	3273232.3860693905	413419.1152210049
10	-1.7561291064455805e-49	-2.235218300653278e-59	-5.962012721157449e-52

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms

sample574.0ms

Algorithm

intervals

Results

296.0ms

10755×

body

valid