Details

Time bar (total: 19.9s)

sample155.0ms

Algorithm
intervals
Results
81.0ms468×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
01819
13318
28717
326217
496617
5353617
done500017

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
0.0b
(- (* z t) (* (* c (fma c b a)) i))
0.1b
(* c (fma c b a))
11.4b
(* (* c (fma c b a)) i)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-udef
2×*-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log prod-diff flip-- unswap-sqr
Counts
4 → 68
Calls
4 calls:
1.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
10.0ms
(- (* z t) (* (* c (fma c b a)) i))
8.0ms
(* c (fma c b a))
27.0ms
(* (* c (fma c b a)) i)

series1.2s

Counts
4 → 12
Calls
4 calls:
792.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
247.0ms
(- (* z t) (* (* c (fma c b a)) i))
46.0ms
(* c (fma c b a))
107.0ms
(* (* c (fma c b a)) i)

simplify1.5s

Counts
80 → 80
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01191053
12841007
21468897
done5000891

prune467.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y x (- (* z t) (* c (* (fma c b a) i))))
0.0b
(- (* z t) (* c (* (fma c b a) i)))
1.1b
(* (fma c b a) i)
4.9b
(* c (* (fma c b a) i))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×*-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef unswap-sqr
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma y x (- (* z t) (* c (* (fma c b a) i))))
19.0ms
(- (* z t) (* c (* (fma c b a) i)))
15.0ms
(* (fma c b a) i)
30.0ms
(* c (* (fma c b a) i))

series1.2s

Counts
4 → 12
Calls
4 calls:
815.0ms
(fma y x (- (* z t) (* c (* (fma c b a) i))))
205.0ms
(- (* z t) (* c (* (fma c b a) i)))
94.0ms
(* (fma c b a) i)
81.0ms
(* c (* (fma c b a) i))

simplify911.0ms

Counts
78 → 78
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
01151034
1261990
21150870
done5001870

prune553.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 1.0b

localize50.0ms

Local error

Found 4 expressions with local error:

4.9b
(* c (* (fma c b a) i))
10.9b
(cbrt (* c (* (fma c b a) i)))
10.9b
(cbrt (* c (* (fma c b a) i)))
10.9b
(cbrt (* c (* (fma c b a) i)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
28.0ms
(* c (* (fma c b a) i))
12.0ms
(cbrt (* c (* (fma c b a) i)))
12.0ms
(cbrt (* c (* (fma c b a) i)))
13.0ms
(cbrt (* c (* (fma c b a) i)))

series846.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* c (* (fma c b a) i))
204.0ms
(cbrt (* c (* (fma c b a) i)))
255.0ms
(cbrt (* c (* (fma c b a) i)))
292.0ms
(cbrt (* c (* (fma c b a) i)))

simplify758.0ms

Counts
65 → 65
Iterations

Useful iterations: done (755.0ms)

IterNodesCost
087790
1210770
2758669
done5001651

prune566.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
1.1b
(* (fma c b a) i)
2.4b
(* (cbrt c) (* (fma c b a) i))
2.7b
(* (* (cbrt c) (cbrt c)) (* (cbrt c) (* (fma c b a) i)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×pow1/3 unswap-sqr
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt c)
8.0ms
(* (fma c b a) i)
30.0ms
(* (cbrt c) (* (fma c b a) i))
121.0ms
(* (* (cbrt c) (cbrt c)) (* (cbrt c) (* (fma c b a) i)))

series830.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt c)
63.0ms
(* (fma c b a) i)
380.0ms
(* (cbrt c) (* (fma c b a) i))
125.0ms
(* (* (cbrt c) (cbrt c)) (* (cbrt c) (* (fma c b a) i)))

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01321234
13401197
21699869
done5001772

prune467.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 1.0b

regimes937.0ms

Accuracy

83.4% (0.7b remaining)

Error of 1.8b against oracle of 1.1b and baseline of 5.6b

bsearch247.0ms

Steps
ItersRangePoint
10
1.2738898539067647e-89
1.7201414293473722e-77
3.128354228323496e-78
9
-2.1013919165438922e-79
-1.2754768149388108e-84
-9.836913490220497e-80

simplify27.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02759
13743
done3743

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.0s15170×body80valid