Details

Time bar (total: 17.2s)

sample24.0ms

Algorithm
intervals
Results
14.0ms294×body80valid
1.0ms4×body1280valid
1.0ms3×body640valid
0.0ms1×body320valid

simplify63.0ms

Counts
1 → 1
Iterations
IterNodes
687
587
480
371
244
119
09

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ d2 30) d1)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
37.0ms
(* (+ d2 30) d1)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (+ d2 30) d1)

simplify2.4s

Counts
27 → 27
Iterations
IterNodes
44218
31068
2357
1118
047

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt (+ d2 30)) d1)
0.3b
(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*l*
11×add-sqr-sqrt *-un-lft-identity
10×associate-*l/
9×pow1 add-cbrt-cube add-exp-log sqrt-prod
7×flip3-+ add-cube-cbrt flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ *-commutative insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 61
Calls
2 calls:
32.0ms
(* (sqrt (+ d2 30)) d1)
49.0ms
(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

series184.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(* (sqrt (+ d2 30)) d1)
57.0ms
(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

simplify1.1s

Counts
67 → 67
Iterations
IterNodes
32203
2776
1290
0114

prune469.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d2 d2) (- (* 30 30) (* d2 30)))
0.0b
(fma (* d2 d2) d2 27000)
3.4b
(* d1 (fma (* d2 d2) d2 27000))
15.7b
(/ (* d1 (fma (* d2 d2) d2 27000)) (+ (* d2 d2) (- (* 30 30) (* d2 30))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
9×add-log-exp
8×*-un-lft-identity add-cube-cbrt
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-+r+ associate-/r* times-frac associate-*r* associate-*l* fma-udef
2×cbrt-undiv sum-log flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+
1×distribute-rgt-in +-commutative clear-num associate-+r- sub-neg fma-def frac-2neg distribute-lft-in diff-log prod-diff pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 80
Calls
4 calls:
17.0ms
(+ (* d2 d2) (- (* 30 30) (* d2 30)))
0.0ms
(fma (* d2 d2) d2 27000)
6.0ms
(* d1 (fma (* d2 d2) d2 27000))
40.0ms
(/ (* d1 (fma (* d2 d2) d2 27000)) (+ (* d2 d2) (- (* 30 30) (* d2 30))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* d2 d2) (- (* 30 30) (* d2 30)))
126.0ms
(fma (* d2 d2) d2 27000)
138.0ms
(* d1 (fma (* d2 d2) d2 27000))
218.0ms
(/ (* d1 (fma (* d2 d2) d2 27000)) (+ (* d2 d2) (- (* 30 30) (* d2 30))))

simplify2.1s

Counts
92 → 92
Iterations
IterNodes
35284
21138
1310
0126

prune776.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (fma (* d2 d2) d2 27000) (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30)))))
11.3b
(sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))
11.3b
(sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))
13.5b
(* (/ d1 (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))) (/ (fma (* d2 d2) d2 27000) (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
66×times-frac
47×*-un-lft-identity add-cube-cbrt
42×sqrt-prod
24×associate-*r* associate-*l*
18×add-cbrt-cube add-exp-log
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ div-exp flip-+
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 162
Calls
4 calls:
37.0ms
(/ (fma (* d2 d2) d2 27000) (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30)))))
35.0ms
(sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))
25.0ms
(sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))
133.0ms
(* (/ d1 (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))) (/ (fma (* d2 d2) d2 27000) (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ (fma (* d2 d2) d2 27000) (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30)))))
43.0ms
(sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))
38.0ms
(sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))
158.0ms
(* (/ d1 (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))) (/ (fma (* d2 d2) d2 27000) (sqrt (+ (* d2 d2) (- (* 30 30) (* d2 30))))))

simplify5.5s

Counts
174 → 174
Iterations
IterNodes
37336
21970
1575
0213

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
27
17
05

end0.0ms

sample1.1s

Algorithm
intervals
Results
858.0ms9050×body80valid
45.0ms59×body1280valid
14.0ms41×body640valid
6.0ms26×body320valid
2.0ms15×body160valid