Details

sample33.0ms

Algorithm

intervals

Results

21.0ms

351×

body

valid

simplify128.0ms

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: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.1b	(* (/ x y) (- z t))

rewrite23.0ms

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)
15.0ms	(* (/ x y) (- z t))

series89.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
57.0ms	(* (/ x y) (- z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune130.0ms

Pruning

5 alts after pruning (4 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	(* x (- z t))
6.0b	(/ (* x (- z t)) y)

rewrite26.0ms

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:

9.0ms	(+ (/ (* x (- z t)) y) t)
9.0ms	(* x (- z t))
6.0ms	(/ (* x (- z t)) y)

series119.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (/ (* x (- z t)) y) t)
34.0ms	(* x (- z t))
48.0ms	(/ (* x (- z t)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (31.0ms)

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

prune129.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x (- z t)) (/ 1 y)) t)
0.0b	(* x (- z t))
6.1b	(* (* x (- z t)) (/ 1 y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

15.0ms	(+ (* (* x (- z t)) (/ 1 y)) t)
9.0ms	(* x (- z t))
20.0ms	(* (* x (- z t)) (/ 1 y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* (* x (- z t)) (/ 1 y)) t)
33.0ms	(* x (- z t))
70.0ms	(* (* x (- z t)) (/ 1 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	415	479
1	2004	409
2	5002	384

prune147.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x (/ y (- z t))) t)
0.0b	(/ y (- z t))
8.4b	(/ x (/ y (- z t)))

rewrite91.0ms

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:

65.0ms	(+ (/ x (/ y (- z t))) t)
5.0ms	(/ y (- z t))
9.0ms	(/ x (/ y (- z t)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (/ x (/ y (- z t))) t)
30.0ms	(/ y (- z t))
59.0ms	(/ x (/ y (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (44.0ms)

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

prune331.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

29.8% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.2b

bsearch58.0ms

Steps

Iters	Range		Point
9	2.4634856426385367e+30	1.096063319062125e+38	2.975531529389489e+34
3	-7.9142871377183805e-146	-6.822090763452249e-146	-7.299926677193682e-146

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	8
1	24	8

end0.0ms

sample920.0ms

Algorithm

intervals

Results

638.0ms

10692×

body

valid