Details

Time bar (total: 12.3s)

sample34.0ms

Algorithm
intervals
Results
18.0ms520×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (51.0ms)

IterNodesCost
01113
12113
25113
314813
433412
558312
671712
781012
8100612
9138112
10138412
done138412

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z z))
0.0b
(fma 4.0 (* y (- t (* z z))) (* x x))
6.9b
(* y (- t (* z z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity prod-diff
5×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube add-log-exp
4×associate-*r*
3×expm1-log1p-u sub-neg fma-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 64
Calls
3 calls:
2.0ms
(- t (* z z))
0.0ms
(fma 4.0 (* y (- t (* z z))) (* x x))
8.0ms
(* y (- t (* z z)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- t (* z z))
100.0ms
(fma 4.0 (* y (- t (* z z))) (* x x))
56.0ms
(* y (- t (* z z)))

simplify1.1s

Counts
73 → 73
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0102832
1219819
2595705
32070692
done5001683

prune205.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.9b

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b
(* y (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
7.4b
(cbrt (- t (* z z)))
7.4b
(cbrt (- t (* z z)))
7.4b
(cbrt (- t (* z z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod add-sqr-sqrt
10×associate-*r/
9×pow1 add-exp-log flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod difference-of-squares
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
21.0ms
(* y (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
216.0ms
(* y (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
285.0ms
(cbrt (- t (* z z)))
298.0ms
(cbrt (- t (* z z)))
289.0ms
(cbrt (- t (* z z)))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: 3 (351.0ms)

IterNodesCost
01341328
13141279
27941117
321851074
done50011074

prune344.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (fma 4.0 (* y (- t (* z z))) (* x x)))
6.9b
(* y (- t (* z z)))
6.9b
(* y (- t (* z z)))
6.9b
(* y (- t (* z z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
18×prod-diff
17×add-cube-cbrt *-un-lft-identity
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
6×sub-neg associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
1×pow1/3
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt (fma 4.0 (* y (- t (* z z))) (* x x)))
8.0ms
(* y (- t (* z z)))
8.0ms
(* y (- t (* z z)))
8.0ms
(* y (- t (* z z)))

series538.0ms

Counts
4 → 12
Calls
4 calls:
378.0ms
(cbrt (fma 4.0 (* y (- t (* z z))) (* x x)))
55.0ms
(* y (- t (* z z)))
50.0ms
(* y (- t (* z z)))
55.0ms
(* y (- t (* z z)))

simplify1.1s

Counts
124 → 124
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01181533
12481508
26451324
321121294
done50001276

prune396.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.9b

localize19.0ms

Local error

Found 4 expressions with local error:

6.9b
(* y (- t (* z z)))
6.9b
(* y (- t (* z z)))
6.9b
(* y (- t (* z z)))
6.9b
(* y (- t (* z z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×prod-diff
20×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
16×associate-*r*
12×pow1 add-exp-log associate-*l* add-cbrt-cube
8×sub-neg associate-*r/
4×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
Counts
4 → 132
Calls
4 calls:
8.0ms
(* y (- t (* z z)))
8.0ms
(* y (- t (* z z)))
8.0ms
(* y (- t (* z z)))
8.0ms
(* y (- t (* z z)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* y (- t (* z z)))
52.0ms
(* y (- t (* z z)))
56.0ms
(* y (- t (* z z)))
51.0ms
(* y (- t (* z z)))

simplify1.2s

Counts
144 → 144
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0711644
11561616
24221408
314961376
done50001352

prune528.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 2.9b

regimes327.0ms

Accuracy

80% (0.7b remaining)

Error of 3.2b against oracle of 2.5b and baseline of 5.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934
12334
done2334

end0.0ms

sample883.0ms

Algorithm
intervals
Results
489.0ms15863×body80valid