Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

356×

body

valid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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))

series98.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* (/ x y) (- z t)) t)
56.0ms	(* (/ x y) (- z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

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

prune165.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
8×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
5×	`associate-l`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
48.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt y)
206.0ms	(cbrt y)
196.0ms	(cbrt y)
57.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify96.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	590	1382
1	3247	864
2	5001	677

prune298.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
0.0b	(+ (* (/ x y) z) (* (/ x y) (- t)))
3.0b	(* (/ x y) (- t))
3.6b	(* (/ x y) z)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-rgt-neg-out`
4×	`associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `distribute-lft-out`
1×	`neg-mul-1` `associate-+l+` `frac-add`

Counts

4 → 103

Calls

4 calls:

22.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
4.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
11.0ms	(* (/ x y) (- t))
8.0ms	(* (/ x y) z)

series142.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
57.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
24.0ms	(* (/ x y) (- t))
24.0ms	(* (/ x y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	481	608
1	2207	531
2	5001	529

prune329.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (/ x y) z)
14.2b	(cbrt (* (/ x y) z))
14.2b	(cbrt (* (/ x y) z))
14.2b	(cbrt (* (/ x y) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 62

Calls

4 calls:

8.0ms	(* (/ x y) z)
3.0ms	(cbrt (* (/ x y) z))
3.0ms	(cbrt (* (/ x y) z))
3.0ms	(cbrt (* (/ x y) z))

series306.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (/ x y) z)
94.0ms	(cbrt (* (/ x y) z))
93.0ms	(cbrt (* (/ x y) z))
96.0ms	(cbrt (* (/ x y) z))

simplify69.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	218	353
1	726	305
2	2826	277
3	5002	273

prune477.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample844.0ms

Algorithm

intervals

Results

549.0ms

10602×

body

valid