Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

356×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y a) (- z t) x)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma (/ y a) (- z t) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune43.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y a) (- z t)) x)
5.4b	(* (/ y a) (- z t))

rewrite31.0ms

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	(+ (* (/ y a) (- z t)) x)
17.0ms	(* (/ y a) (- z t))

series100.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* (/ y a) (- z t)) x)
55.0ms	(* (/ y a) (- z t))

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	477	779
1	1776	547
2	5001	533

prune253.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (/ y a) (- z t))
7.6b	(cbrt (* (/ y a) (- z t)))
7.6b	(cbrt (* (/ y a) (- z t)))
7.6b	(cbrt (* (/ y a) (- z t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`prod-diff`
15×	`cbrt-div`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`sub-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

16.0ms	(* (/ y a) (- z t))
5.0ms	(cbrt (* (/ y a) (- z t)))
5.0ms	(cbrt (* (/ y a) (- z t)))
8.0ms	(cbrt (* (/ y a) (- z t)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (/ y a) (- z t))
122.0ms	(cbrt (* (/ y a) (- z t)))
130.0ms	(cbrt (* (/ y a) (- z t)))
121.0ms	(cbrt (* (/ y a) (- z t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	464	940
1	1723	759
2	5002	741

prune394.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
11.6b	(cbrt (/ y a))
11.6b	(cbrt (/ y a))
11.6b	(cbrt (/ y a))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`cbrt-prod` `cbrt-div`
36×	`prod-diff`
29×	`frac-times`
27×	`times-frac`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 163

Calls

4 calls:

44.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
1.0ms	(cbrt (/ y a))
1.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))

series253.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
67.0ms	(cbrt (/ y a))
67.0ms	(cbrt (/ y a))
66.0ms	(cbrt (/ y a))

simplify68.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	776	2311
1	2230	1663
2	5002	1430

prune392.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes240.0ms

Accuracy

65.8% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch91.0ms

Steps

Iters	Range		Point
7	2.117967555245603e-67	3.754585379720712e-65	2.78403719146079e-66
7	1.6551719851536629e-180	2.2037249846410062e-178	4.097838859474864e-179
6	-107425.82452878023	-13600.963204601821	-31789.482149551517

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms

sample608.0ms

Algorithm

intervals

Results

297.0ms

10786×

body

valid