Details

Time bar (total: 4.6s)

sample23.0ms

Algorithm
intervals
Results
11.0ms275×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(- (* b c) (* a d))
28.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
8.0ms
(+ (* c c) (* d d))
8.0ms
(- (* b c) (* a d))
25.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (* c c) (* d d))
39.0ms
(- (* b c) (* a d))
81.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25002491

prune372.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.9b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.5b
(sqrt (+ (* c c) (* d d)))
30.5b
(sqrt (+ (* c c) (* d d)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
9.0ms
(- (* b c) (* a d))
26.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
8.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* b c) (* a d))
106.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
32.0ms
(sqrt (+ (* c c) (* d d)))
33.0ms
(sqrt (+ (* c c) (* d d)))

simplify98.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304912
1990857
23354845
35001845

prune650.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.9b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
30.5b
(sqrt (+ (* c c) (* d d)))
30.5b
(sqrt (+ (* c c) (* d d)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div add-cbrt-cube associate-/l* add-log-exp
3×flip3-+ associate-/r* flip-+
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 85
Calls
4 calls:
7.0ms
(- (* b c) (* a d))
25.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
8.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b c) (* a d))
75.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
33.0ms
(sqrt (+ (* c c) (* d d)))
34.0ms
(sqrt (+ (* c c) (* d d)))

simplify72.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0264887
1808842
22357837
35001837

prune672.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.0b
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
18.8b
(/ (* b c) (+ (* c c) (* d d)))
19.2b
(/ (* a d) (+ (* c c) (* d d)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt associate-/r/ add-log-exp
6×times-frac associate-/r*
5×flip3-+ flip-+
4×pow1 cbrt-undiv div-exp div-inv
3×distribute-rgt-out--
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×+-commutative sub-neg flip3-- diff-log sum-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
4 → 76
Calls
4 calls:
8.0ms
(+ (* c c) (* d d))
73.0ms
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
16.0ms
(/ (* b c) (+ (* c c) (* d d)))
16.0ms
(/ (* a d) (+ (* c c) (* d d)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* c c) (* d d))
114.0ms
(- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))
44.0ms
(/ (* b c) (+ (* c c) (* d d)))
42.0ms
(/ (* a d) (+ (* c c) (* d d)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0385746
11875664
25001660

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 24.5b

regimes185.0ms

Accuracy

58% (1.1b remaining)

Error of 23.2b against oracle of 22.1b and baseline of 24.7b

bsearch172.0ms

Steps
ItersRangePoint
8
2.989236853439617e-44
3.1121783822088664e-40
2.9683856602189315e-40
8
-2.0452575119410763e-91
-4.5182054444454834e-95
-9.341981836678716e-94

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03728
13728

end0.0ms

sample708.0ms

Algorithm
intervals
Results
497.0ms8508×body80valid