Details

sample34.0ms

Algorithm

intervals

Results

22.0ms

351×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

10.0ms	(+ (* (/ x y) (- z t)) t)
19.0ms	(* (/ x y) (- z t))

series83.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ x y) (- z t)) t)
49.0ms	(* (/ x y) (- z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	468	779
1	1866	547
2	5001	533

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.7b	(fma (fma (- t) 1 t) (/ x y) t)
7.1b	(* (fma 1 z (- (* (cbrt t) (* (cbrt t) (cbrt t))))) (/ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`pow1/3` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

4 → 70

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(fma (fma (- t) 1 t) (/ x y) t)
9.0ms	(* (fma 1 z (- (* (cbrt t) (* (cbrt t) (cbrt t))))) (/ x y))

series475.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt t)
176.0ms	(cbrt t)
45.0ms	(fma (fma (- t) 1 t) (/ x y) t)
73.0ms	(* (fma 1 z (- (* (cbrt t) (* (cbrt t) (cbrt t))))) (/ x y))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	247	586
1	930	502
2	5001	407

prune306.0ms

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))
6.0b	(/ (* x (- z t)) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`times-frac`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

14.0ms	(+ (/ (* x (- z t)) y) t)
14.0ms	(* x (- z t))
10.0ms	(/ (* x (- z t)) y)

series115.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (/ (* x (- z t)) y) t)
38.0ms	(* x (- z t))
45.0ms	(/ (* x (- z t)) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	375	606
1	1652	443
2	5002	426

prune169.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- z t))
5.4b	(fma (* x (- z t)) (/ 1 y) t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

11.0ms	(* x (- z t))
0.0ms	(fma (* x (- z t)) (/ 1 y) t)

series71.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (- z t))
34.0ms	(fma (* x (- z t)) (/ 1 y) t)

simplify94.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	223	441
1	832	292
2	3636	256
3	5001	228

prune91.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

31.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.4b

bsearch68.0ms

Steps

Iters	Range		Point
9	2.4634856426385367e+30	1.096063319062125e+38	1.5849138783300118e+35
3	-7.9142871377183805e-146	-6.822090763452249e-146	-7.299926677193682e-146

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	18
1	44	18
2	44	18

end0.0ms

sample946.0ms

Algorithm

intervals

Results

678.0ms

10692×

body

valid