Details

Time bar (total: 20.5s)

sample65.0ms

Algorithm
intervals
Results
44.0ms270×body80valid

simplify55.0ms

Counts
1 → 1
Iterations
IterNodes
done53
553
451
345
235
126
015

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize19.0ms

Local error

Found 3 expressions with local error:

1.9b
(fma (/ y t) b (+ a 1.0))
3.5b
(fma (/ y t) z x)
11.6b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 52
Calls
3 calls:
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
4.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series830.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(fma (/ y t) b (+ a 1.0))
85.0ms
(fma (/ y t) z x)
672.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify2.7s

Counts
61 → 61
Iterations
IterNodes
done5000
44450
31013
2321
1130
080

prune465.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.9b
(fma (/ y t) b (+ a 1.0))
3.5b
(fma (/ y t) z x)
11.3b
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 95
Calls
4 calls:
10.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
10.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series986.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
58.0ms
(fma (/ y t) b (+ a 1.0))
75.0ms
(fma (/ y t) z x)
629.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify1.9s

Counts
107 → 107
Iterations
IterNodes
done5003
32028
2622
1235
0118

prune519.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 11.4b

localize52.0ms

Local error

Found 4 expressions with local error:

5.6b
(* (/ 1 (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0))))) (/ (fma (/ y t) z x) (cbrt (fma (/ y t) b (+ a 1.0)))))
10.8b
(cbrt (fma (/ y t) b (+ a 1.0)))
10.8b
(cbrt (fma (/ y t) b (+ a 1.0)))
10.8b
(cbrt (fma (/ y t) b (+ a 1.0)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
22×associate-*r* add-cube-cbrt
21×cbrt-prod
20×prod-exp
18×add-cbrt-cube
15×div-exp
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv associate-*l*
6×pow1
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 115
Calls
4 calls:
67.0ms
(* (/ 1 (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0))))) (/ (fma (/ y t) z x) (cbrt (fma (/ y t) b (+ a 1.0)))))
1.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
1.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
1.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
543.0ms
(* (/ 1 (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0))))) (/ (fma (/ y t) z x) (cbrt (fma (/ y t) b (+ a 1.0)))))
322.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
301.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
298.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))

simplify2.8s

Counts
127 → 127
Iterations
IterNodes
done5000
22003
1518
0185

prune930.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 11.4b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x)))
1.9b
(fma (/ y t) b (+ a 1.0))
3.5b
(fma (/ y t) z x)
11.6b
(/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 131
Calls
4 calls:
13.0ms
(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x)))
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
8.0ms
(/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x))

series1.1s

Counts
4 → 12
Calls
4 calls:
664.0ms
(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x)))
49.0ms
(fma (/ y t) b (+ a 1.0))
78.0ms
(fma (/ y t) z x)
331.0ms
(/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x))

simplify2.6s

Counts
143 → 143
Iterations
IterNodes
done5022
33354
2961
1386
0178

prune829.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 11.4b

regimes942.0ms

Accuracy

57.5% (1.1b remaining)

Error of 12.8b against oracle of 11.8b and baseline of 14.3b

bsearch234.0ms

Steps
ItersRangePoint
7
1.9552826557020357e-06
7.143616659564812e-05
1.924178015281595e-05
10
-7.662752664633638e-53
-2.4757891665754706e-64
-1.1271786680970628e-58

simplify4.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s8275×body80valid