Details

Time bar (total: 8.0s)

sample144.0ms

Algorithm
intervals
Results
48.0ms761×body80nan
16.0ms176×body80valid
11.0ms31×body640valid
8.0ms10×body1280valid
5.0ms22×body320valid
3.0ms19×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
089417
189417

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 6.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.2b
(* (- x 1.0) (log y))
7.3b
(log (- 1.0 y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 94
Calls
4 calls:
12.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
10.0ms
(* (- z 1.0) (log (- 1.0 y)))
11.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series60.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- z 1.0) (log (- 1.0 y)))
10.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

simplify25.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
050371312

prune217.0ms

Filtered
77 candidates to 106 candidates (-37.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 0.0b

Counts
107 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ y 1.0) (/ y 1.0)) -1/2)
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
0.0b
(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
0.2b
(* (- x 1.0) (log y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
20×*-un-lft-identity
15×pow1
12×associate-*r*
11×add-cube-cbrt associate-*l* prod-exp cbrt-unprod
9×add-log-exp
8×associate-*l/
6×log-prod
5×frac-times flip3-- pow-prod-down flip--
4×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp
3×flip3-+ associate-*r/ *-commutative flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
2×diff-log log-pow distribute-lft-out
1×sub-neg associate--l+ sum-log
Counts
4 → 105
Calls
4 calls:
11.0ms
(* (* (/ y 1.0) (/ y 1.0)) -1/2)
14.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
20.0ms
(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
8.0ms
(* (- x 1.0) (log y))

series86.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* (/ y 1.0) (/ y 1.0)) -1/2)
59.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
12.0ms
(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
10.0ms
(* (- x 1.0) (log y))

simplify32.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
051972108

prune256.0ms

Filtered
79 candidates to 117 candidates (-48.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh077
Picked011
Done000
Total1169125

Merged error: 0.0b

Counts
125 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))) (cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))))
0.6b
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
0.6b
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
0.6b
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
148×frac-times
63×flip3-- flip3-+ flip-- flip-+
50×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
12.0ms
(* (cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))) (cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))))
15.0ms
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
17.0ms
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
15.0ms
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))) (cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y))))))
42.0ms
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
42.0ms
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))
47.0ms
(cbrt (* (- z 1.0) (+ (log 1.0) (- (* (/ y 1.0) (* (/ y 1.0) -1/2)) (* 1.0 y)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0504711511

prune1.3s

Filtered
124 candidates to 174 candidates (-40.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh077
Picked011
Done011
Total1749183

Merged error: 0.0b

Counts
183 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x 1.0) (log y))
8.7b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
11.2b
(log (- (sqrt 1.0) (sqrt y)))
11.5b
(log (+ (sqrt 1.0) (sqrt y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod *-un-lft-identity
32×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+ difference-of-squares
8×add-exp-log log-div distribute-lft-out
7×log-pow
6×add-cbrt-cube
5×associate-+l+ associate-*l* distribute-lft-out--
4×associate-*r* add-log-exp
3×distribute-rgt-in flip3-- distribute-lft-in flip3-+ flip-- flip-+
2×associate-+l- associate-+r- rem-log-exp associate-*l/
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
8.0ms
(* (- x 1.0) (log y))
16.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
6.0ms
(log (- (sqrt 1.0) (sqrt y)))
6.0ms
(log (+ (sqrt 1.0) (sqrt y)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (- x 1.0) (log y))
21.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
8.0ms
(log (- (sqrt 1.0) (sqrt y)))
11.0ms
(log (+ (sqrt 1.0) (sqrt y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049661433
149661433

prune235.0ms

Filtered
75 candidates to 110 candidates (-46.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh066
Picked011
Done022
Total1109119

Merged error: 0.0b

Counts
119 → 9

regimes524.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02629
12629

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.6s24910×body80nan
419.0ms5816×body80valid
299.0ms825×body640valid
170.0ms264×body1280valid
161.0ms697×body320valid
65.0ms427×body160valid

Profiling

Loading profile data...