Details

Time bar (total: 10.0s)

sample51.0ms

Algorithm
intervals
Results
23.0ms265×body80valid

simplify97.0ms

Counts
1 → 1
Iterations
IterNodes
done94
694
590
476
356
240
121
011

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* b c) (* a d))
23.4b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub div-exp prod-diff flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
6.0ms
(- (* b c) (* a d))
26.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(- (* b c) (* a d))
118.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify956.0ms

Counts
56 → 56
Iterations
IterNodes
done5000
21122
1274
095

prune404.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 14.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot c d)
0.0b
(/ 1 (hypot c d))
0.3b
(* (/ 1 (hypot c d)) (/ (fma (- a) d (* b c)) (hypot c d)))
16.1b
(/ (fma (- a) d (* b c)) (hypot c d))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
43×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
32×add-exp-log
20×add-cbrt-cube
13×associate-*r* associate-*l*
11×div-exp
8×prod-exp
7×pow1
6×cbrt-undiv associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg
1×frac-times hypot-udef pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 130
Calls
4 calls:
0.0ms
(hypot c d)
9.0ms
(/ 1 (hypot c d))
37.0ms
(* (/ 1 (hypot c d)) (/ (fma (- a) d (* b c)) (hypot c d)))
8.0ms
(/ (fma (- a) d (* b c)) (hypot c d))

series521.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(hypot c d)
76.0ms
(/ 1 (hypot c d))
226.0ms
(* (/ 1 (hypot c d)) (/ (fma (- a) d (* b c)) (hypot c d)))
168.0ms
(/ (fma (- a) d (* b c)) (hypot c d))

simplify1.5s

Counts
142 → 142
Iterations
IterNodes
done5000
22866
1408
0155

prune694.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot c d)
0.0b
(hypot c d)
0.0b
(/ (/ (fma (- a) d (* b c)) (hypot c d)) (hypot c d))
16.1b
(/ (fma (- a) d (* b c)) (hypot c d))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
11×add-cbrt-cube add-exp-log
6×associate-/r* div-inv
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×hypot-udef clear-num frac-2neg
1×associate-/l/
Counts
4 → 121
Calls
4 calls:
0.0ms
(hypot c d)
0.0ms
(hypot c d)
9.0ms
(/ (/ (fma (- a) d (* b c)) (hypot c d)) (hypot c d))
4.0ms
(/ (fma (- a) d (* b c)) (hypot c d))

series491.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(hypot c d)
69.0ms
(hypot c d)
167.0ms
(/ (/ (fma (- a) d (* b c)) (hypot c d)) (hypot c d))
191.0ms
(/ (fma (- a) d (* b c)) (hypot c d))

simplify734.0ms

Counts
133 → 133
Iterations
IterNodes
done5002
21619
1353
0162

prune861.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot c d)
0.0b
(hypot c d)
0.0b
(/ (/ (fma (- a) d (* b c)) (* 1 (hypot c d))) (hypot c d))
16.1b
(/ (fma (- a) d (* b c)) (* 1 (hypot c d)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
23×add-exp-log
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
10×div-exp associate-/l*
7×cbrt-undiv
6×div-inv
4×expm1-log1p-u pow1 associate-/r* prod-exp log1p-expm1-u add-log-exp
2×hypot-udef clear-num frac-2neg 1-exp cbrt-unprod
1×associate-/l/
Counts
4 → 95
Calls
4 calls:
0.0ms
(hypot c d)
0.0ms
(hypot c d)
18.0ms
(/ (/ (fma (- a) d (* b c)) (* 1 (hypot c d))) (hypot c d))
16.0ms
(/ (fma (- a) d (* b c)) (* 1 (hypot c d)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(hypot c d)
74.0ms
(hypot c d)
165.0ms
(/ (/ (fma (- a) d (* b c)) (* 1 (hypot c d))) (hypot c d))
161.0ms
(/ (fma (- a) d (* b c)) (* 1 (hypot c d)))

simplify770.0ms

Counts
107 → 107
Iterations
IterNodes
done5001
21942
1336
0137

prune424.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.5b

regimes390.0ms

Accuracy

31.3% (7.8b remaining)

Error of 13.4b against oracle of 5.7b and baseline of 17.0b

bsearch76.0ms

Steps
ItersRangePoint
7
2.779174960643886e+83
1.7372164856765643e+85
1.0473345470194266e+85
8
-8.773915394007575e+201
-3.5771592647848214e+198
-3.629931414478272e+198

simplify4.0ms

Iterations
IterNodes
done29
229
126
020

end0.0ms

sample1.1s

Algorithm
intervals
Results
785.0ms8456×body80valid