Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

327×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
7.7b	(/ (* y (- z t)) a)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 35

Calls

2 calls:

4.0ms	(+ x (/ (* y (- z t)) a))
6.0ms	(/ (* y (- z t)) a)

series98.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (/ (* y (- z t)) a))
47.0ms	(/ (* y (- z t)) a)

simplify96.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	233	227
1	865	204
2	4237	192
3	5001	192

prune97.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.0b	(/ y (/ a (- z t)))

rewrite54.0ms

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:

29.0ms	(+ x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ x (/ y (/ a (- z t))))
30.0ms	(/ a (- z t))
50.0ms	(/ y (/ a (- z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	547	1150
1	2384	1110
2	5002	1107

prune377.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y a) (- z t)))
7.2b	(* (/ y a) (- z t))

rewrite20.0ms

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-+r+` `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:

3.0ms	(+ x (* (/ y a) (- z t)))
15.0ms	(* (/ y a) (- z t))

series103.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* (/ y a) (- z t)))
52.0ms	(* (/ y a) (- z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	323	335
1	1236	299
2	5001	299

prune131.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) a)))
7.0ms	(/ (- z t) a)
15.0ms	(* y (/ (- z t) a))

series127.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (* y (/ (- z t) a)))
33.0ms	(/ (- z t) a)
49.0ms	(* y (/ (- z t) a))

simplify45.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	345	498
1	1408	465
2	5002	453

prune201.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes201.0ms

Accuracy

51.2% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.6b

bsearch83.0ms

Steps

Iters	Range		Point
8	5.180719834371168e-150	6.606070636226329e-147	1.8297702711364304e-148
8	-5.03496074542839e+68	-1.0929352752278947e+66	-1.5745896431018994e+66

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample827.0ms

Algorithm

intervals

Results

525.0ms

10523×

body

valid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4